A part manufactured at a factory is known to be 12.05 cm long on average, with a standard deviation of 0.119. One day you suspect that that the part is coming out a little longer than usual, but with the same deviation. You sample 19 at random and find an average length of 12.25. What is the z-score which would be used to test the hypothesis that the part is coming out longer than usual?

Answers

Answer 1

Z-score is used to test the hypothesis that the part is coming out longer than usual. Z-score is defined as the number of standard deviations away from the mean.

It is calculated using the formula z = (x - μ) / σ, where x is the sample mean, μ is the population mean, and σ is the population standard deviation. In the given problem, the population mean is μ = 12.05 cm and the population standard deviation is σ = 0.119 cm. The sample mean is x = 12.25 cm. The sample size is n = 19.

Therefore, the formula to calculate the z-score is Z = (x - μ) / (σ / √n) Substituting the values, we get z = (12.25 - 12.05) / (0.119 / √19) ≈ 6.586Therefore, the z-score which would be used to test the hypothesis that the part is coming out longer than usual is approximately 6.586.

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Related Questions

Is 9.90 equal to greater than or less than 9.9

Answers

Answer:

Equal to.

Step-by-step explanation:

The 0 at the end of 9.90 does not add any value to the number because its 0.

Answer:

It is equal.

Step-by-step explanation:

9.90 = 9.9 , it's the same as the 0 does not count on it.

Investigators performed a randomized experiment in which 411 juvenile delinquents were randomly assigned to either multisystemic therapy (MST) or just probation (control group). Of the 215 assigned to therapy, 87 had criminal convictions within 12 months. Of the 196 in the control group, 74 had criminal convictions within 12 months. Determine whether the therapy caused significantly fewer arrests at a 0.05 significance level. Start by comparing the sample percentages. Find and compare the sample percentages that were arrested for these two groups. The percentage of arrests for people who received MST was %.

Answers

The percentage of arrests for people who received Multisystemic Therapy (MST) can be calculated by dividing the number of individuals arrested in the MST group (87) by the total number of individuals.

Percentage of arrests for MST group = (87/215) * 100 ≈ 40.47%

To determine if therapy caused significantly fewer arrests at a 0.05 significance level, we need to compare this percentage with the percentage of arrests in the control group.

The percentage of arrests for the control group can be calculated in a similar manner by dividing the number of individuals arrested in the control group (74) by the total number of individuals in the control group (196), and multiplying by 100.

Percentage of arrests for control group = (74/196) * 100 ≈ 37.76%

Comparing the sample percentages, we find that the percentage of arrests for people who received MST (40.47%) is slightly higher than the percentage of arrests for the control group (37.76%).

To determine if this difference is statistically significant at a 0.05 significance level, we would need to perform a hypothesis test, such as a chi-square test, to compare the observed frequencies with the expected frequencies under the assumption that therapy has no effect on reducing arrests.

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PLEASE HURRY!! I need help!!!


Calculate the IQR given in the box: 

Answers

It’s c because 50 - 40 is 10

The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?

Answers

Answer:

just interest = 251,550. Plus loan = 446,550

Step-by-step explanation:

195,000 x 0.043(interest as a decimal) = 8385 per year.

8385 x 30(years) = 251,550

The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.

What is compound interest?

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that

the principle amount of $195000

The rate of interest is 4.3%

Time period 30 years.

By compound interest formula

A = P × [tex](1 + 0.00r)^{n}[/tex]

where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.

A = $195000[tex](1 + 0.043)^{30}[/tex]

A = $689546.985

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why why why do i have to watch ads

Answers

Answer:

Because you didnt pay for brainly.

If you do, no adds :D

Its a lot easier to be honest

Answer: Because the advertisements are corporations' way of making a market with the internet. They pay a fee to have their adds placed on sites and above videos, and by watching them, that generates revenue for the content creator and the hosting domain itself.    

you welcome

Step-by-step explanation:

Suppose your favorite coffee machine oder 14 ounce cup of coffee the actual amount of coffee pot in the cup by the machine vanes according to a normal distribution with mean equal to 15 ounces and standard deviation equal to 0.65 ounces. What percentage of cups will be filled with less than 14 ounces?

Answers

Approximately 6.3% of cups will be filled with less than 14 ounces is the answer.

Given, mean = 15 ounces and standard deviation = 0.65 ounces

The actual amount of coffee in the cup by the machine vanes according to a normal distribution.

For this, we need to calculate the z-score as z=(X-μ)/σ

We need to find the percentage of cups that will be filled with less than 14 ounces of coffee.

For this, we will calculate the probability that X < 14. So, we need to find P(X<14).

For this, we will first calculate the z-score as z = (X - μ) / σ= (14 - 15) / 0.65= -1.538

Now, we will find the area to the left of the z-score using the standard normal distribution table or calculator:

Using the standard normal distribution table, we get the area as 0.0630.

The percentage of cups that will be filled with less than 14 ounces is 6.3%.

Thus, approximately 6.3% of cups will be filled with less than 14 ounces.

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Solve for w. Make sure to use scrap paper to show your work. ( 36 ÷ 3 )( 2 x 6 ) = w

Answers

Answer:

your answer is w=144

Step-by-step explanation:

(36÷3=12)(2x6=12)

12x12=144

Answer:  144

Step-by-step explanation:

Determine the value of variables a, b, and c that make each equation true.
What is the value of a in this equation?
1
(14496
30
a
What is the value of b in this equation?
b=
What is the value of c in this equation?
(x2)° = 222

Answers

Answer:

77

Step-by-step explanation:

I got it right on my question

Write an equation in point-slope form of the line that passes through the point (7, -4) and has a slope of m=-6.

Answers

Answer:

(-4-y) = -6(7 - x)

Step-by-step explanation:

if 1-3(y+2)=-32 find the value of y/3

Answers

Answer:

7.6

Step-by-step explanation:

-3 multiple by y and -3 multiple by 2 resolve to 7.6....

hey lol pls help <3
Ms. Philor is going on a trip to Hawaii. The function A(d)=0.80d+200 models the amount A, in dollars, that Ms.Philor's company pays her based on the round trip distance d, in miles that Ms. Philor travels to do a job.

Ms. Philor's pay increases by $

A)80.200
B) 0.80
C)200.80

Answers

A. 80.200 random letters susboahajsgsjahaj

Suppose NiceGirl is the set of all nice girls, Sailor is the set of all sailors, and loves is a relation between nice girls and sailors such that n loves s means that nice girls n loves sailor s. Make precise the sentence "All the nice girls love a sailor" to expose at least two distinct meanings of this ambiguous utterance.

Answers

The sentence "All the nice girls love a sailor" can be interpreted in at least two different ways when it comes to the given sets Nice Girl and Sailor and the relation loves between them.

They are: All the nice girls love the same sailor. This interpretation would mean that there exists a sailor s ∈ Sailor such that all the girls in the set Nice Girl love s, i.e., ∀n ∈ Nice Girl, n loves s. This interpretation assumes that there is only one sailor that is loved by all the nice girls.

2. Each of the nice girls loves a different sailor. This interpretation would mean that for every girl n ∈ Nice Girl, there exists a sailor s ∈ Sailor such that n loves s, but s may be different for different girls. This interpretation assumes that each nice girl loves a different sailor.

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Based on the two data sets represented below, complete the following sentences.
\text{DATA SET B}
DATA SET B
0
0
23
24
25
26
27
28
29
30
31
32
33
\text{DATA SET C}
DATA SET C
0
0
23
24
25
26
27
28
29
30
31
32
33

The median of Data Set B is
than the median of Data Set C. The minimum of Data Set B is
than the minimum of Data Set C.

Answers

Hey don’t go to the link

Of all the animals admitted to the local pet hospital, 10 of them are dogs. They represent 25% of all the animals at the hospital. How many animals are at the hospital in total? A. 20 B. 30 C. 40 D. 50

Answers

Answer:

C. 40

Step-by-step explanation:

[tex]\frac{25}{100} = \frac{10}{y}[/tex]

[tex]\frac{1}{4} = \frac{10}{y}[/tex] (cross multiply)

40 = 1y (rewrite)

y = 40

5. use the integral representation of Jy(x) 1 XV Jv(x) = tixp (1 – p2)v-żdp (+1,0T ©) p VT(v-3): 1 - To show that the spherical Bessel functions in (x) are expressible in terms of trigonometric functions, that is, for example, sin x sin x j.(x) = x ji(x) х x2 COS X = = ) х

Answers

We are given a formula that uses the integral representation of Jy(x): $${x\over 2}\left[J_{v-1}(x) - J_{v+1}(x)\right] = v\int_0^\infty t^{v-1} J_{v-1}(xt)\,dt$$

We will use this formula to show that the spherical Bessel functions $j _v(x)$ are expressible in terms of trigonometric functions. Let $y=v-1$.

Substituting $v=y+1$, we have: $${x\over 2}\left[J_y(x) - J_{y+2}(x)\right] = (y+1)\int_0^\infty t^y J_y(xt)\,dt$$

This expression is known as a recurrence relation for spherical Bessel functions. Let us use this to derive the identity that was requested:

$${x\over 2}\left[J_{v-1}(x) - J_{v+1}(x)\right] = (v+1)\int_0^\infty t^v J_v(xt)\,dt - v\int_0^\infty t^v J_{v-1}(xt)\,dt$$

Rearranging and using the recurrence relation, we obtain:

$$J_{v+1}(x) = {2v\over x}J_v(x) - J_{v-1}(x)$$$$\begin{aligned}\sin x\,j_v(x) &= \sin x\left[{1\over x}J_v(x)\right]\\&= {1\over 2x}\left[J_{v-1}(x) - J_{v+1}(x)\right]\\&= {v+1\over x}\int_0^\infty t^v J_v(xt)\,dt - {v\over x}\int_0^\infty t^v J_{v-1}(xt)\,dt\end{aligned}$$

Similarly, $$x^2\cos x\,j_v(x) = {v\over x}\int_0^\infty t^v J_v(xt)\,dt + {v+1\over x}\int_0^\infty t^v J_{v-1}(xt)\,dt$$

Hence, we have shown that $j_v(x)$ can be expressed in terms of trigonometric functions as follows:$$\begin{aligned}\sin x\,j_v(x) &= {v+1\over x}\int_0^\infty t^v J_v(xt)\,dt - {v\over x}\int_0^\infty t^v J_{v-1}(xt)\,dt\\\cos x\,j_v(x) &= {v\over x}\int_0^\infty t^v J_v(xt)\,dt + {v+1\over x}\int_0^\infty t^v J_{v-1}(xt)\,dt\end{aligned}$$

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Use the distributive property to rewrite each algebraic expression 7(y+2) + (8+r) + 8(x + 9)

Answers

Answer:

7y+r+8x+94

Explanation

Given the algebraic expression 7(y+2) + (8+r) + 8(x + 9)

Given A, B and C. According to distributive law;

A(B+C) = AB + AC

A is distributed over C. In the same vein

On expanding the expression;

7(y+2) + (8+r) + 8(x + 9)

7y+7(2) + 8 + r + 8(x)+ 8(9)

7y+14+8+r+8x+72

Bringing the variables and constants together

7y+r+8x+14+8+72

7y+r+8x+94

how many strings of length 5 are there over the alphabet {0, 1, 2}?

Answers

The length of the string is 5 and the alphabet is {0, 1, 2}.Therefore, the number of strings of length 5 that can be formed over the given alphabet is:$$3^5 = 243$$ Therefore, there are 243 strings of length 5 over the alphabet {0, 1, 2}.

To calculate the number of strings of length 5 over the alphabet {0, 1, 2}, we need to determine the number of choices for each position in the string. Since each position can be filled with one of three possible characters (0, 1, or 2), we have three choices for each position.

Therefore, the total number of strings of length 5 can be calculated as:

Number of strings = Number of choices for position 1 × Number of choices for position 2 × Number of choices for position 3 × Number of choices for position 4 × Number of choices for position 5

Number of strings = 3 × 3 × 3 × 3 × 3 = 3^5 = 243

So, there are 243 strings of length 5 over the alphabet {0, 1, 2}.

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The information given in question is that the length of the string is 5.

Alphabet {0,1,2}

Therefore, there are 243 strings of length 5 over the alphabet {0, 1, 2}.

To find the number of strings of length 5 over the alphabet {0, 1, 2}, we need to consider the number of choices we have for each position in the string.

There are three choices (0, 1, or 2) for each position, and since we have five positions, the total number of strings of length 5 is given by:

[tex]$$3^5 = \boxed{243}$$[/tex]

Therefore, there are 243 strings of length 5 over the alphabet {0, 1, 2}.

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x h(x)
-25 6
-13 0
-3 -5
0 -7
9 -11
11 -30
What is the average rate of change of h(x) over the interval -13 < x < 11 ?

Answers

Answer:

56

Step-by-step explanation:

Write the equation of the given line in slope-intercept form:
(-1,2) and (1,-4)

Answers

answer is y=-3x+(-1/3)

Find all the first derivatives of the function f(x,y) = x^0.9y^1.8. Show all of your steps with explanations of what you are doing.

Answers

The first derivative of the given function with respect to x is 0.9x^(-0.1)y^1.8 and the first derivative of the given function with respect to y is 1.8x^0.9y^0.8.

The given function is f(x, y) = x^0.9y^1.8. The question is to find the first derivative of the given function with respect to x and y respectively.

Here are the solutions; The first derivative of the given function with respect to x is given by ∂f(x, y)/∂x:∂f(x, y)/∂x = 0.9x^(-0.1)y^1.8

On the other hand, the first derivative of the given function with respect to y is given by ∂f(x, y)/∂y:∂f(x, y)/∂y = 1.8x^0.9y^(1.8 - 1)∂f(x, y)/∂y = 1.8x^0.9y^0.8

Therefore, the first derivative of the given function with respect to x is 0.9x^(-0.1)y^1.8 and the first derivative of the given function with respect to y is 1.8x^0.9y^0.8.

The above steps use the concept of partial derivatives of a function with respect to a variable that can be applied in such types of questions.

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The given function is

[tex]f(x,y) = x⁰.⁹ y¹.⁸[/tex]

Now, let's find the first derivative of the function with respect to x and y.

First derivative of the function with respect to x:

We have to use the chain rule here.

According to the chain rule,

the derivative of the outer function is multiplied by the derivative of the inner function.

The inner function is [tex]y¹.⁸,[/tex]

whose derivative with respect to x is 0.

Therefore, we only have to differentiate the outer function with respect to x.

[tex]f(x,y) = x⁰.⁹ y¹.⁸∂f/∂x = ∂/∂x (x⁰.⁹ y¹.⁸)∂f/∂x = 0.⁹x^(-0.1) y¹.⁸∂f/∂x = 0.⁹y¹.⁸/x^0.1[/tex]

First derivative of the function with respect to y:

We have to use the chain rule here.

According to the chain rule, the derivative of the outer function is multiplied by the derivative of the inner function.

The inner function is [tex]x⁰.⁹,[/tex]

whose derivative with respect to y is 0.

Therefore, we only have to differentiate the outer function with respect to y.

[tex]f(x,y) = x⁰.⁹ y¹.⁸∂f/∂y = ∂/∂y (x⁰.⁹ y¹.⁸)∂f/∂y = 1.⁸ x⁰.⁹ y^(0.8)∂f/∂y = 1.⁸x^0.9 y^0.8[/tex]

Hence, the first derivative of the given function with respect to x is

[tex]0.⁹y¹.⁸/x^0.1[/tex]

and with respect to y is [tex]1.⁸x^0.9 y^0.8.[/tex]

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how do I graph this linear equation?
4x+6y=-12​

Answers

Answer: Simplifying

Step-by-step explanation:

Simplifying

4x + 6y = 12

Solving

4x + 6y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

4x + 6y + -6y = 12 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 12 + -6y

4x = 12 + -6y

Divide each side by '4'.

x = 3 + -1.5y

Simplifying

x = 3 + -1.5y

Then you get your answer I think or hopeful get your answer. I hoped this helped!

Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening.

How many hours did Sarah practice in all?

Answers

She practiced 288 hours in totally

4. Write neatly and legibly.
QUESTION 1
1.1
Find the sum:
1.1.1 2+6+(-7) + 10 = 11

Answers

Find the sum:

1.1.1 2+6+(-7) + 10 = 11

11=11

Hey
So first you need to remove the brackets

When there is a in front of an expression in brackets, the expression remains the same

2+6-7+10=11

Then combine the numbers and it comes out as 11 so it’s true

What was different about the Yuan Dynasty? *
I’ll give brainiest answer to the person who gets it right.

Answers

Answer:

One big change during Kublai's reign was that foreigners became the rulers and administrators. Since they didn't trust the local people, they moved in a large number of Muslims and other people to help them rule the empire. The Mongols had their own religious belief called Shamanism.

Slove the system of linear equations by graphing y=-x+7 y=x-1

Answers

Answer: Point Form: ( 4 , 3 ) Equation Form: x = 4 , y = 3  

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Brainliest or a thank you please? :))

plss help answer true or false

Answers

Answer:

"false" I believe if wrong srry

How long will it take for quarterly deposits of $625 to accumulate to be $20,440 at an interest rate of 8.48% compounded quarterly?

Answers

It will take approximately 9 years and 2 months for quarterly deposits of $625, with an interest rate of 8.48% compounded quarterly, to accumulate to $20,440.

To calculate the time it takes for the deposits to accumulate to the desired amount, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the accumulated amount

P = the principal amount (initial deposit)

r = the annual interest rate (converted to a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $625, the interest rate (r) is 8.48% (or 0.0848 as a decimal), the number of times interest is compounded per year (n) is 4 (quarterly compounded), and the desired accumulated amount (A) is $20,440.

We need to solve for t, the number of years. Rearranging the formula, we have:

t = (log(A/P)) / (n * log(1 + r/n))

Plugging in the values, we get:

t = (log(20440/625)) / (4 * log(1 + 0.0848/4))

Calculating this, we find that t is approximately 9.18 years. Converting this to years and months, we get approximately 9 years and 2 months. Therefore, it will take around 9 years and 2 months for the quarterly deposits of $625 to accumulate to $20,440 at an interest rate of 8.48% compounded quarterly.

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data analysts use one-sample hypothesis tests to ______. a. frustrate students b. manage random sampling error c. justify their jobs d. make bad decisions e. all of the choices above f. none of the choices

Answers

Data analysts use one-sample hypothesis tests to manage random sampling error. The correct answer is (b).

Data analysts use one-sample hypothesis tests to manage random sampling error. Random sampling error refers to the variability or differences that can occur between a sample and the population it represents.

By conducting hypothesis tests, analysts can determine if the observed data from a sample is statistically significant and can be generalized to the larger population.

Hypothesis tests help analysts assess whether an observed effect or relationship in the sample is likely to be a true effect or relationship in the population or if it is simply due to random chance.

By testing a hypothesis and comparing the sample data to a null hypothesis, analysts can evaluate the validity of their findings and make informed decisions based on the results.

The purpose of hypothesis tests is not to frustrate students, justify their jobs, or make bad decisions. Instead, they serve as a statistical tool to manage random sampling error and provide reliable and valid conclusions based on data analysis.

The correct answer is (b)

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Jenna works at a local sports bar and is interested in whether the percent tip she will receive is related to how many drinks people order. What test should she perform? O Correlation O ANOVA Independent samplest test O Single sample t test

Answers

She should perform a correlation test.

Jenna works at a local sports bar and is interested in whether the percent tip she will receive is related to how many drinks people order. What test should she perform?

She should perform a correlation test.

What is a correlation test?

A correlation test is a statistical method used to examine the relationship between two variables. It is used to determine the degree of association between two continuous variables.

How do you carry out a correlation test?

To perform a correlation test, follow these steps:

Step 1: Collect your data.

Step 2: Determine the level of measurement of each variable.

Step 3: Calculate the correlation coefficient.

Step 4: Determine the p-value.

Step 5: Interpret the results.

Therefore she should perform a correlation test

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I’ll give brainless too who ever respond fast and correctly.

Answers

i’ll comment so you can get branliest :)
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