We are performing a one-sample z-test about mean. The sample size is 64, the sample mean 56.7, the sample standard deviation is 30, and the testing mean is 60. What is the value of the test statistic?

Answers

Answer 1

Answer:

-0.880

Step-by-step explanation:

Mean X = 56.7

Sd = 30

N = sample size = 64

Null hypothesis:

H0:u = 60

Alternative hypothesis:

H1:u not equal to 60

This corresponds to a 2 tailed test. So we will have to use a z test with 1 mean, known population and standard deviation

Level of significance = 0.05

Z critical value = 1.96

The test statistic

Z = X - u/sd/√n

= 56.7 - 60/30√64

= -0.880

The test statistic is equal to -0.880


Related Questions

If 1 and 2 are vertical angles, <2 and <3 are complementary angles,
and m23 = 56°, find m1

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Answer:

hehdhrhth

Step-by-step explanation:

thrhrgefwy3ihrgej eff wr3 utf egtje creek it g

P (3,-8) Q (-2,5)

Use the distance formula to find the exact distance

Answers

Answer:

answer is 1-8(87)

Step-by-step explanation:

Month 1 2 3 4 5 6 7
Value 25 14 19 12 19 24 15
A) Compute MSE using the most recent value as the forecast for the next period.
B) Compute MSE using the average of all the data available as the forecast for the next period.
C) Which method appears to provide the better forecast?

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question and its solution file in the attachment.

What is a fixed annual sum of money paid at regular intervals to an employee for their work?

Answers

Answer: Salary is a fixed amount of money or compensation paid to an employee by an employer in return for work performed. Salary is commonly paid in fixed intervals, for example, monthly payments of one-twelfth of the annual salary.

Step-by-step explanation:

The solution to the system of equations shown is (2, 0).3x − 2y = 6x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.Which system of equations will also have a solution of (2, 0)?6x - 4y = 6x + 4y = 26x − 4y = 62x + 8y = 2x + 4y = 27x = 146x − 4y = 67x = 14

Answers

the answer is c i got it on edge 2020

Answer:

c

Step-by-step explanation:

i need help pls 1 - 8 thanks

Answers

Answer:

1. 0.5454

2. 8

3. 0.6785

4. 1.1428

5. 6

6. 1.5

7. 1.75

8. 1.6666

Step-by-step explanation:

calculator :)

Solve the system of equations by elimination
3x+4y=9
-6x-8y=-18

A. (5,-1)
B. (5,1)
C. Infinite number of solutions
D. (1,5)

If you can, explain step by step please

Answers

Answer:

C

Step-by-step explanation:

C is correct luv the way you would do this is by graphing and seen they overlap or by actually solving by simplifying both equations and coming to the conclusion they are the same

What is the solution of the system of equations?
y=2x-4
y=1-3x

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(1−2)

Equation Form:

x= 1

y=−2

Step-by-step explanation:

What is 1 3/4 hours in minutes?

Answers

Answer: 105

Step-by-step explanation:

In a classroom, for every 8 girls there are 5 boys. What is the ratio of boys to girls?

Answers

Answer:

5:8

Step-by-step explanation:

Answer:

8 to 5

Step-by-step explanation:

Judy had a bag with 12 DVDs, 12 marbles, 11 books, and one orange. What percentage of the items in the bag are DVDs

Answers

Answer:

34.28 percent of the items in the bag are DVDs

Step-by-step explanation:

Given that he had following items

DVDs 12

MArbles 12

Books 11

Total items are: 11+12+12 = 35

In order to find the percentage of DVDs we have to divide the quantity of DVDs by total and multiply by 100

So,

Percentage of DVDs is:

[tex]=\frac{12}{35} *100\\= 0.3428*100\\= 34.28\%[/tex]

Hence,

34.28 percent of the items in the bag are DVDs

help please it’s important!!

Answers

2

Here is the explanation: 2 (17x+2)

This graph shows a proportional relationship.
What is the constant of proportionality?

Answers

hookes law gives the equation F=kx where F is the elastic force and k is the constant and x or small e is extension if we draw a graph you'll see that the graph increases by the same ratio every single time hence giving a straight line show that they are F and x are propotional to a certain limit

Answer:

The answer you're looking for is 40

Step-by-step explanation:

Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.

How can you use your equation to find the cost of 6 pounds of cashews?

Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.

Please reply quickly thanks : )

Answers

Answer:

Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.

Step-by-step explanation:

BRAINLIEST MAYBE???

I needdddddd helppppppp

Answers

Answer:

what is the question

Step-by-step explanation:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
3. If the profit function for a product is P(x) = 3600x + 60x2 ? x3 ? 72,000 dollars, selling how many items, x, will produce a maximum profit?.

Answers

Answer:

a. The number of units which will minimize average cost is approximately 5,130 units.

b. The firm should produce 12,500 items, x, for maximum profit.

c. The number of items, x, that will produce a maximum profit is 60 items.

Step-by-step explanation:

Note: This question is not complete as there are some signs are omitted there. The complete question is therefore provided before answering the question as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

3. If the profit function for a product is P(x) = 3600x + 60x2 - x3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

The explanation to the answer is now given as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

Given;

C(x) = 200(0.02x + 6)^3 ……………………………………….. (1)

We first simplify (0.02x + 6)^3 as follows:

(0.02x + 6)^3 = (0.02x + 6)(0.02x + 6)(0.02x + 6)

First, we have:

(0.02x + 6)(0.02x + 6) = 0.004x^2 + 0.12x + 0.12x + 36 = 0.004x^2 + 0.24x + 36

Second, we have:

(0.02x + 6)^3 = 0.004x^2 + 0.24x + 36(0.02x + 6)

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 7.20x + 0.0024x^2 + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 0.0024x^2 + 7.20x + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.0504x^2 + 8.64x + 216

Therefore, we have:

C(x) = 200(0.02x + 6)^3 = 200(0.00008x^3 + 0.0504x^2 + 8.64x + 216)

C(x) = 0.016x^3 + 10.08x^2 + 1,728x + 43,200

Therefore, the average cost (AC) can be calculated as follows:

AC(x) = C(x) / x = (0.016x^3 + 10.08x^2 + 1,728x + 43,200) / x

AC(x) = (0.016x^3 + 10.08x^2 + 1,728x + 43,200)x^(-1)

AC(x) = 0.016x^2 + 10.08x + 1,728 + 43,200x^(-1) …………………………. (2)

Taking the derivative of equation (2) with respect to x, equating to 0 and solve for x, we have:

0.032x + 10.08 - (43,300 / x^2) = 0

0.032x + 10.08 = 43,300 / x^2

X^2 * 0.32x = 43,300 – 10.08

0.32x^3 = 43,189.92

x^3 = 43,189.92 / 0.32

x^3 = 134,968.50

x = 134,968.50^(1/3)

x = 51.30

Since it is stated in the question that x represents the number of hundreds of units produced, we simply multiply by 100 as follows:

x = 51.30 * 100 = 5,130

Therefore, the number of units which will minimize average cost is approximately 5,130 units.

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

P(x) = R(x) - C(x) ……………. (3)

Where;

P(x) = Profit = ?

R(x) = 450x-1/100x^2

C(x) = 500 + 200x

Substituting the equations into equation (3), we have:

P(x) = 450x - 1/100x^2 - (500 + 200x)

P(x) = 450x - 0.01x^2 - 500 - 200x

P(x) = 450x - 200x - 0.01x^2 - 500

P(x) = 250x - 0.01x^2 – 500 …………………………………. (4)

Taking the derivative of equation (4) with respect to x, equating to 0 and solve for x, we have:

250 - 0.02x = 0

250 = 0.02x

x = 250 / 0.02

x = 12,500 items

Therefore, the firm should produce 12,500 items, x, for maximum profit.

3. If the profit function for a product is P(x) = 3600x + 60x2 – x^3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

Given;

P(x) = 3600x + 60x2 – x^3 - 72,000 …………………………. (5)

Taking the derivative of equation (5) with respect to x, equating to 0 and solve for x, we have:

3600 + 120x - 3x^2 = 0

Divide through by 3, we have:

1200 + 40x – x^2 = 0

1200 + 60x – 20x – x^2 = 0

60(20 + x) – x(20 + x) = 0

(60 – x)(20 + x) = 0

Therefore,

x = 60, or x = - 20

The negative value of x (i.e. x = - 20) will be will be ignored because it has no economic significance. Therefore, the number of items, x, that will produce a maximum profit is 60 items.

What is the product of z and w?
-20 + 101
-15 + 51
8-41
20 – 10i

Answers

Answer:

A

Step-by-step explanation:

The product of z and w is (-20+10i).

What are imaginary numbers?

An imaginary number is a real number multiplied by the imaginary unit i.

Given is a coordinate plane showing imaginary and real numbers.

Coordinates of w = (-5, 5i)

Coordinates of z = (3,i)

w*z = (-5, 5i)* (3,i)

= -15-5i+15i-5

= -20+10i

Hence, The product of z and w is (-20+10i).

For more references on imaginary numbers, click;

https://brainly.com/question/6748860

#SPJ5

Which operation is associate with ratios - adding , subtracting, timing , or diving

Answers

Answer:

Dividing

Step-by-step explanation:

I think you meant dividing instead of diving

please help i'd appreciate it!

Answers

Answer:

|-8|=8

|10|=10

Step-by-step explanation:

any negative number between the two slashes '||' equals to always a positive number

and a positive number between the two slashes '||' remains the same

I need help, please
it is do tomorrow

Answers

Answer:

#2) 30% of 400 is 120 and 120/6 = 2 so it took him 2 hours

#3) 2.5/3.2 = .78 and 1/1.2 =.83 so buying the bigger one you are paying less

Mr. Parker jogs for 45 minutes each day. He jogs 5 days in week 1, 6 days in week 2, and 7 days in week 3. About how many minutes does he jog?

Answers

Answer:

810 min

Step-by-step explanation:

5+6+7=18

18x45=810

Helppppppppppppppppppp pleaseeeeeeeeee

Answers

Answer:

1.5 goes in between the 0 and the first line (meaning 1) and 0.5 goes in between the left of the zero and the line before the zero

Paige makes bracelets and sells them online for $15 and $20. She buys all of her supplies in bulk. The table shows her sales for the last 3 months. During the 3-month period represented by the table, she ordered supplies twice. Each

Answers

Which table I don’t see it

hey get you points
hahahaha

Answers

Thank youuuuuuuuuuuuuuuuuu
thank you so muchhhh!

PLEASE HELP STAT WILL MARK BRAINLIEST!

Mr. Lee has 67 rubber stamps. He wants to give the same number of stamps to each of his 8 students. If he gives away as many stamps as he can, how many stamps will be leftover? [remainder]

Answers

Answer:

3

Step-by-step explanation:

To give the same amount of stamps to each student you would divide 67 by 8. Dividing would give each students 8 stamps because you can only equally divide it to 64 (EX, 64/8=8). This leaves you with 3 stamps leftover, because we only used 64 equally and 67-64=3.

Answer:

He can give each of his students 8 stamps.

With 3 stamps left over.

Step-by-step explanation:

Hope this helps!

Your parents gave you $200 to spend on a weeklong school trip. You have budgeted $25 per day for snacks and souvenirs. Write an equation that represents this situation

Answers

Answer:

200- 25d

Step-by-step explanation:

d equals number of days on the trip

Need help! Will be appreciated

Answers

Answer:

64 miles per gallon

27 feet per second

14 quarts in a barrel

Step-by-step explanation:


Two towns that are 31.5 km apart are 3 cm apart on a map. What is the scale of the map?
A. 1 cm = 29.5 km
B. 1 cm = 9.5 km
C. 1 cm = 10.5 km
D. 1 cm = 15.5 km

Answers

Answer:

3 cm on the map represents 31.5 km in reality.

3cm : 31.5 km

1cm :  31.5/3 km

1cm : 10.5km

So the scale on the map is 1cm represents 10.5 km.

How many
2/3
-cup servings are in four cups of pistachios?

Answers

Answer:

4

Step-by-step explanation

SOMEONE PLZ HELP!!!
Answers:

A.
100
B.
150
C.
250
D.
not enough information

Answers

Answer:

D

Step-by-step explanation:

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