Answer:
0.22
Step-by-step explanation:
4 or less let it rest, 5 or more add one more!.
8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22
A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of course, there is bound to be a little variation. An inspector randomly chooses 16 bars from one day's output of 4000 bars. The average weight of the 16 bars is only 48.5 grams. The inspector wishes to test the null hypothesis that the factory is doing what it is supposed to on this day against the alternative that the company is cheating the consumer. Assume that the weights of all the candy bars that are produced follow the normal curve with a SD of 2 gram(s).
Which significance test should be used?
A z test because the SD of the population is known and the weights follow the normal curve. You are correct. Computer's answer now shown above Previous Tries Your receipt no. is 159-2320
Do you need to use SD+ o estimate the SD of the population?
No, we're given the SD of the population, we don't need to estimate it. Incorrect.
Computer's answer now shown above ries 1/1 Previous Tries
Compute SE. (Give your answer as a decimal to two places) Submit Answer Tries 0/5
Compute the test statistic. (Round your answer to two decimals, using previously rounded answer.) Submit Answer Tries 0/5
What do you conclude?
A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.
B. Cannot reject the null, it's plausible that the factory is making the bars 50 grams as they claim to be doing. Submit Answer Tries 0/1
Answer:
Question 1
The correct option is A
Question two
The correct option is B
Question three
[tex]SE= 0.5[/tex]
Question four
[tex]z = - 3 [/tex]
Question five
The correct option is A
Step-by-step explanation:
The population mean is [tex]\mu = 50 \ grams[/tex]
The sample size is n = 16
The population size is N = 4000
The sample mean is [tex]\= x = 48.5 \grams[/tex]
The standard deviation is [tex]s = 2 \ gram(s)[/tex]
Considering the first question
The correct option is A
z test because the SD of the population is known and the weights follow the normal curve
Considering the second question
The correct option is B
Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.
Considering the third question
Generally the standard error is mathematically represented as
[tex]SE= \frac{s }{\sqrt{n} }[/tex]
=> [tex]SE= \frac{2 }{\sqrt{16} }[/tex]
=> [tex]SE= 0.5[/tex]
The null hypothesis is [tex]H_o : \mu = 50[/tex]
The alternative hypothesis is [tex]H_a : \mu < 50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ SE }[/tex]
=> [tex]z = \frac{ 48.5 - 50 }{ 0.5}[/tex]
=> [tex]z = - 3 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < z )[/tex]
=> [tex]p-value = P(Z < - 3 )[/tex]
From the z-table the
[tex]P(Z < - 3 ) =0.0013499[/tex]
=> [tex]p-value = 0.0013499[/tex]
From the obtained values we see that
[tex]p-value < \alpha[/tex]
So we reject the null hypotheses
The conclusion
it's very unlikely that the factory is making the candy bars 50 grams as they claim
Testing the hypothesis, we have that:
The standard error is of 0.5.The test statistic is z = -3.A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.At the null hypothesis, we test if the factory is doing what it is supposed to, that is, the mean is of 50 grams, hence:
[tex]H_0: \mu = 50[/tex]
At the alternative hypothesis, we test if the factory is cheating the customer, that is, the mean is of less than 50 grams, hence:
[tex]H_1: \mu < 50[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 48.5, \mu = 50, \sigma = 2, n = 16[/tex]
Hence, the standard error is:
[tex]S_e = \frac{2}{\sqrt{16}} = 0.5[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{S_e}[/tex]
[tex]z = \frac{48.5 - 50}{0.5}[/tex]
[tex]z = -3[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex]
Since the test statistic is less than the critical value for the left-tailed test, we can reject the null hypothesis.
A similar problem is given at https://brainly.com/question/14983950
What is the value of h(3)?
If (6, -5) is reflected across the y = -x the new point would be:
A.
(-5, -6)
B.
(5, -6)
C.
(5, 6)
D.
(-5, 6)
Last night, Hailey spent 1 2/5 hours on her math
homework, then 45 minutes on her science
homework. What is the total time she spent doing her
math and science homework? Write your answer in a
complete sentence.
Answer:
a = 2 hours and 9 minutes
Explanation:
(using fractions)
45 minutes + 1 2/5 hours = 3/4 hours + 7/5 hours = 15/20 + 28/20 = 43/20 = 2 3/20 = 2 9 /60 = 2 hours 9 minutes.
(using decimals)
45 minutes + 1 2/5 hours =
0.75 hours + 1.4 hours = 2.15 hours = 2 hours 9 minutes.
since .15 × 60 = 9 .
Also keep in mind that there are 60 minutes in an hour.
Answer:2 3/20
Step-by-step explanation:
1 2/5 + 45(3/4)
=2 3/20
A biker rides for h hours at a speed of s miles per hour and travels d miles. Which equation models the relationship?
Answer:
hs=d
Step-by-step explanation:
Answer:
hs= d
Step-by-step explanation:
In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to boys? Group of answer choices
14:26
14:40
26:40
26:14
Answer:
26:14
Step-by-step explanation:
It ask for girls first and there are 26, then boys which is 14. So the ratio would be 26:14.
Hope this helps
x y
-1 3
0 5
1 7
2 9
1. What is the slope? m=
2. What is the y-intercept? b=
3. Write the equation in slope-intercept form:
Answer:
m=2(0,5)2x+5Step-by-step explanation:
The slope is achieved through (5-3)/((0-(-1)) which is 2. The y-intercept is just where x=0 on the equation so (0,5). 3. Put it all together in y=mx+b to get 2x+5. Hope that helps!
Kelly and Mitchell work together. Kelly works 9 hours. Mitchell works 15 hours. How many years of experience could each person have?
Answer:
You don't know
Step-by-step explanation:
They don't mention any part of experience. Kelly and Mitchell just worked. Plus, you don't know how much experience of years.
I don’t understand this question.
Answer:
The answer is 106 degrees
Step-by-step explanation:
What is the range of 12,20,18,25,6
Answer:
19
Step-by-step explanation:
The range is the difference between the biggest number and the smallest number
Let's put these numbers in order:
25,20,18,12,6
The biggest number is 25, the smallest number is 6
25-6=?
19
Please help me would be greatly appreciated.
6. You bought the meat for Saturday's cookout. A package of hot dogs cost $1.60 and a
package of hamburger cost $5. You bought a total of 8 packages of meat and you spent $23.
How many packages of hamburger meat did you buy?
A lot
Step-by-step explanation:
match the simplified expression to an equivalent expression 2t -9 2t-t
Answer: your trying to find an ecuagan to match the one it is saying so you can do 2t-8-3t which equals 13 just like the ecaution shown 2t-9-2t also equals 13
Step-by-step explanation: I hop this helps :D :) :) have a good day you guys/peeps
Answer:
I am wondering if this is the same problem but here anyways.
Step-by-step explanation:
if 9√x=√12+√147,then x is equal to
Answer:
[tex]9 \sqrt{x} = \sqrt{12} + \sqrt{147} \\ = > \sqrt{x} = \frac{ \sqrt{12} + \sqrt{147} }{9} \\ = > x = {(\frac{ \sqrt{12} + \sqrt{147} }{9} )}^{2} \\ = > x = ( \frac{15.58}{9} )^{2} \\ = > 3[/tex]
f(x)=2|5x+7|−1, evaluate f(−4)
Answer:
Step-by-step explanation:
f(x) = 2 |5(-4)+7| -1
= 2 |(-20)+7| -1
= 2 | -13 | -1
= 26 - 1
= 25
A function assigns the value of each element of one set to the other specific element of another set. The value of the function f(-4) is 25.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of f(-4) can be evaluated by substituting the value of x as -4 in the given function, therefore, the value of f(-4) can be written as,
f(x) = 2|5x+7| − 1
f(-4) = 2|5(-4)+7| − 1
= 2|-20 + 7| - 1
= 2|-13| - 1
= 2(13) - 1
= 26 - 1
= 25
Hence, the value of the function f(-4) is 25.
Learn more about Function here:
https://brainly.com/question/5245372
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Round 62394 to the nearest
Answer:
63000 or 62400. Didn't specify whether to the thousandth or hundredth
Directions: Find the value of x.
5x-2 || 3x+4 || LOOK AT PICTURE PLEASE!!!!
Answer:
Step-by-step explanation:
180-90=90
5x-2+3x+4=90
5x-2+3x=90-4=86
5x+3x=86+2=88
8x=88
X=11
It will be nice if you give me brainliest.Good luck!
The value of x in the given right triangle is 11.
What is right triangle?A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
Given is a right triangle, with angles 5x-2 and 3x+4
We know that the sum of the both acute angles of a right triangle, is 90°
Therefore,
5x-2 + 3x+4 = 90°
8x = 88
x = 11
Hence, the value of x in the given right triangle is 11.
For more references on right triangle, click;
https://brainly.com/question/29285631
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The local garden store sells bags of mulch for $4.98 each and will deliver the bags for a fee of $15 if Amber purchases 15 bags and has them delivered what is the total amount that Amber will pay?
Answer:
$89.70
Step-by-step explanation:
To solve this equation, let's formulate a linear equation.
Let [tex]b[/tex] equal bags of mulch.
Let [tex]t[/tex] equal the total amount.
We know the price of each bag of mulch ($4.98), so we can represent this as:
[tex]4.98b[/tex]
We also know that there's a fee of $15, so we can just represent this as:
[tex]15[/tex]
Let's put these values into an equation:
[tex]t=4.98b+15[/tex]
Now with an equation, we know that she purchases a total of 15 bags, so let's substitute [tex]15[/tex] for [tex]b[/tex]:
[tex]t=4.98(15)+15[/tex]
Multiply:
[tex]t=74.70+15[/tex]
Add:
[tex]t=89.70[/tex]
_
Check your work by substituting the total amount into the initial equation:
[tex]89.70=4.98b+15[/tex]
Subtract [tex]15[/tex] from both sides of the equation:
[tex]74.70=4.98b[/tex]
Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]4.98[/tex]:
[tex]15=b[/tex]
Amber did in fact purchase 15 bags, so we know our total amount is correct!
The number of suitcases lost by airlines.
Answer:
4.3 billion
Step-by-step explanation:
Which graph matches the exponential function f(x) = 2(1.5)x?
Answer: its nit the 3rd one i just took the test
Step-by-step explanation:
Gender plays an important role in the six components of health.
Please select the best answer from the choices provided.
The ANSWER IS
T
I know because I just took the test
Answer:
sorry I didn't understand the answer t what is the answer t can u elaborated
Answer:
false
Step-by-step explanation:
its right
Find all solutions in the interval [0, 2π).
2 sin^2 x = sin x
Answer:
0, π, 2π, π/6 and 5+(π/6)
Step-by-step explanation:
Rearranging, sinx (2 sinx - 1) = 0.
In [0, 2π],sin x = 0 for x = 0, π and 2π.
The other factor = 0 gives the other two solutions.
sin 5+(π/6) = sin (π−(π-6)) = sin π/6 = 1/2.
Simplify
(6 + 4i) + (8 - 91) + (-2 + i)
Answer:
-79 + 5 i
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(6+4i)+(8-9i)+(-2+i)
6+4i+8-9i-2+i
6+8-2+4i-9i+i
12-4i
What is the distance between points (13,1) and (9,-4)
Answer:
5/4
Step-by-step explanation:
y2 -y1 -4-1=-5
x1 -x2 9-13=-4
What is the pattern in the numbers 2,3,5,7,11,13
Answer:
the number that repeat is number 2
Answer:
+1+2+2+4+2
Step-by-step explanation:
Problems
1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
1 point
Your answer
Answer:
7
Step-by-step explanation:
You must divide 28 by 4 which equals 7.
Which shows one way the equation can be represented in words? Z-6=14
A.The dfference of a number and z is the same as one and four-tenths.
B.Anumber subtracted from one and four-tenths is equal to six.
C.Six less than a number is the same as one and four-tenths.
D.Sx decreased by a number is equal to one and four-tenths.
Answer: c
Step-by-step explanation:
c is the answer
A given line has the equation 10x+2y=-2.
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
12)?
VX
O y=-5x+12
O 5x+y=12
O y-12=5(x-0)
O 5x+y=-1
Answer:
Step-by-step explanation:
y=-5x+12
10x+2y=-2
Subtract 10x to the other side of the equation and you will get 2y=-10x-2
Then divide both side by 2 to get y by itself
It will lead you to y=-5x+1
Notice that your point is (0,12) and it says parallel so you will keep your slope but your y-intercept will change
Final answer: y=-5x+12
I believe it's y= -5x+12. I really hope this helps. Happy schooling!!
Find the absolute value. |9|=???
What quadrant would the triangle be in after a rotation of 90 counterclockwise about the origin?