(Question 1 )

A sample of 42 observations is selected from one population with a population standard deviation of 4.5. The sample mean is 100.5. A sample of 56 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 98.5. Conduct the following test of hypothesis using the 0.10 significance level. H₀:₁=₂ H₁:₁₂ Required: a.Is this a one-tailed or a two-tailed test?

• One-tailed test
• Two-tailed test

b.State the decision rule.(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

The decision rule is to reject H_o ifz is (outside or inside ), the interval (........) and (.......)

c.Compute the value of the test statistic.(Round your answer to 2 decimal places.) d.What is your decision regardingH₀?

• RejectH₀
• Do not rejectH₀

e.What is thep-value?(Round your answer to 4 decimal places.) ____________________________________________________________________________

(Question 2)

As part of a study of corporate employees, the director of human resources for PNC Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the distance for those in downtown Pittsburgh. A sample of 35 Cincinnati employees showed they travel a mean of 370 miles per month. A sample of 40 Pittsburgh employees showed they travel a mean of 380 miles per month. The population standard deviations for the Cincinnati and Pittsburgh employees are 30 and 26 miles, respectively. At the 0.05 significance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburgh employees? Required: a.Is this a one-tailed or a two-tailed test?

-One-tailed test

-Two-tailed test

b.State the decision rule.(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

The decision rule is to reject H_o ifz is (outside or inside ), the interval (...........) and (...........) c.Compute the value of the test statistic.(Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) d.What is your decision regardingH₀?

-Not rejectedH₀

-RejectedH₀

e.At the 0.05 significance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburgh employees? -Yes

-No

_____________________________________________________________________________________________

(Question 3 )

You may believe that each day, men and women spend about the same amount of time using Facebook. We would like to test this hypothesis. A random sample of 45 women had a mean daily time of 4.0 minutes. A random sample of 39 men spent an average of 4.4 minutes each day on Facebook. Assume that the daily Facebook time for women has a population standard deviation of 1.2 minutes. Also assume that the daily Facebook time for men has a population standard deviation of 1.1 minutes. Using the 0.05 significance level, do men and women differ in the amount of time spent on Facebook each day? Required: a.State the decision rule for 0.05 significance level:H₀:_men=_womenH₁:_menwomen.(Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) b.Compute the test statistic.(Negative amounts should be indicated by a minus sign. Round your answer to 2 decimal places.) c.What is thep-value?(Round your answer to 4 decimal places.) d.State your decision about the null hypothesis. -RejectedH₀

-Not rejectedH₀

e.Do men and women differ in the amount of time spend on Facebook each day? -Yes

-No __________________________________________________________________________________________________________________

(Question 4 )

The null and alternate hypotheses are: H₀:₁=₂ H₁:₁₂ A random sample of 11 observations from one population revealed a sample mean of 24 and a sample standard deviation of 4.6. A random sample of 8 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.1. The population standard deviations are unknown but assumed to be equal. At the 0.05 significance level, is there a difference between the population means? Required: a.State the decision rule.(Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) The decision rule is to reject H_o if t < (...........) Or t > (..............) b.Compute the pooled estimate of the population variance.(Round your answer to 3 decimal places.) c.Compute the test statistic.(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) d.State your decision about the null hypothesis.

• RejectH₀.
• Do not rejectH₀.

e.Thep-value is

*between 0.05 and 0.02.

* less than 0.001.

* between 0.05 and 0.1.

* between 0.001 and 0.01.

* between 0.1 and 0.2.

________________________________________________________________________________________

(Question 5)

A recent study compared the time spent together by single- and dual-earner couples. According to the records kept by the wives during the study, the mean amount of time spent together watching television among the single-earner couples was 61 minutes per day, with a standard deviation of 15.5 minutes. For the dual-earner couples, the mean number of minutes spent watching television was 48.4 minutes, with a standard deviation of 18.1 minutes. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, can we conclude that the single-earner couples on average spend more time watching television together? There were 15 single-earner and 12 dual-earner couples studied.Hint:For the calculations, assume the single-earner as the first sample. Required: a.Is this a one-tailed or a two-tailed test? multiple choice 1

• One-tailed test.
• Two-tailed test.

b.State the decision rule.(Round your answer to 3 decimal places.) The decision rule is to reject Ho if t is ............. c.Compute the value of the test statistic.(Round your answer to 3 decimal places.) d.What is your decision regardingH₀?

Do not rejectH₀.

RejectH₀.