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CW - 7.2

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Decide whether reject Ho or fail to reject Ho given the following:
Claim: u < 23;  sample mean: 22;  standard deviation: 2.1; n= 50; a = 0.01

a)

reject Ho, at 1% level of significance, there is enough evidence to support the claim

b)

fail to reject Ho, at 1% level of significance, there is no enough evidence to reject the claim

c)

fail to reject Ho, at 1% level of significance, there is no enough evidence to support the claim


d)

reject Ho, at 1% level of significance, there is enough evidence to reject the claim

2.

Find the p-value for a hypothesis test with the standardized test statistic z. Decide whether you reject Ho or fail to reject Ho.


two-tailed: z = -2.45; a = 0.05

a)

fail to reject Ho

b)

reject Ho

c)

none of these

3.

Compute the value of the standardized test statistic (z-score). Round your answer to two decimal places.


You wish to test the claim that μ > 18 at a level of significance

of α=0.10 and are given sample statistics

n =45, sample mean = 19.12. Assume the population standard deviation is 2.8.

a)

z = 2.29

b)

z = 2.68

c)

z = 2.87

d)

z = 2.13

4.

Test the claim that μ = 418, given that σ =90, α = 0.20 and the

sample mean = 415 and n = 75

a)

reject Ho, at 20% level of significance, there is enough evidence to support the claim

b)

fail to reject Ho, at 20% level of significance, there is not enough evidence to support the claim

c)

fail to reject Ho, at 20% level of significance, there is not enough evidence to reject the claim

d)

reject Ho, at 20% level of significance, there is enough evidence to reject the claim

5.

Find the critical value and rejection region for the type of z-test with level of significance α.


left-tailed; a = 0.025

a)

-1.960

b)

1.960

c)

-0.674

d)

0.674

6.

A fast food outlet claims that the mean waiting time in line is greater than 3.5 minutes. A random sample of 75 customers has a mean of 3.6 minutes with a population standard deviation of 0.8 minute. If α = 0.10, test the fast food outletʹs claim using critical values and rejection regions.

a)

fail to reject Ho, at 10% level of significance, there is not enough evidence to support the claim

b)

reject Ho, at 10% level of significance, there is enough evidence to reject the claim

c)

reject Ho, at 10% level of significance, there is enough evidence to support the claim

d)

fail to reject Ho, at 10% level of significance, there is not enough evidence to reject the claim

7.

A fast food outlet claims that the mean serving time in line is 2 minutes. A random sample of 42 customers has a mean of 2.58 minutes with a population standard deviation of 1.2 minute. If α = 0.01, test the fast food outletʹs claim using critical values and rejection regions.

a)

fail to reject Ho, at 1% level of significance, there is not enough evidence to reject the claim

b)

reject Ho, at 1% level of significance, there is enough evidence to reject the claim

c)

reject Ho, at 1% level of significance, there is enough evidence to support the claim

d)

fail to reject Ho, at 1% level of significance, there is not enough evidence to support the claim

8.

A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner selects 40 bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. Test the manufacturerʹs claim. Use α = 0.20.

a)

reject Ho, at 20% level of significance, there is enough evidence to support the claim

b)

fail to reject Ho, at 20% level of significance, there is not enough evidence to reject the claim

c)

reject Ho, at 20% level of significance, there is enough evidence to reject the claim

d)

fail to reject Ho, at 20% level of significance, there is not enough evidence to support the claim

9.

Find the critical value and rejection region for the type of z-test with level of significance α.

two-tailed; a = 0.05

a)

 −1.645-1.645  

b)

 −1.960-1.960  

c)

 ±1.645\pm1.645  

d)

 ±1.960\pm1.960  

10.

Compute the value of the standardized test statistic (z-score). Round your answer to two decimal places.


You wish to test the claim that μ = 25 at a level of significance

of α=0.02 and are given sample statistics

n =45, sample mean = 26.1. Assume the population standard deviation is 4.21.

a)

z = 1.76

b)

z = -1.75

c)

z = 1.75

d)

z = -1.76