cument, click Duplicate. 18 2. (t Test (in Excel) for Two Samples with Equal Variances) Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via the 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of fifteen trips via the 10 Freeway and fifteen trips via the 60 Freeway. The following table gives the travel times (in minutes) for the thirty trips: 10 Freeway 60 Freeway Travel times in minutes 74, 68, 75, 73, 73, 73, 69, 72, 70, 77, 67, 71, 74, 71, 71 Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.075 level of significance, that the mean travel time via the 10 Freeway is less than the mean travel time via the 60 Freeway? Use Excel to perform the hypothesis test. 75, 69, 73, 70, 78, 74, 78, 70, 74, 71, 76, 74, 75, 77, 70 a. State the null and alternate hypotheses that would be appropriate for this hypothesis test. Use proper notation and formatting. b. Give the value of the test statistic. Round to three decimal places if needed. c. Give the p-value of the test statistic. Round to four decimal places if needed. d. Using the p-value method, should Ho be rejected at the a= 0.075 level of significance? Why or why not? ii. e. Choose an appropriate conclusion based on your decision in part d. i. United States) Accessibility: Investigate The mean travel times via the 10 Freeway is less than the mean travel time via the 60 Freeway. There is not enough evidence to conclude that the mean travel via the 10 Freeway is less than the mean travel time via the 60 Freeway. Focus FO
cument, click Duplicate. 18 2. (t Test (in Excel) for Two Samples with Equal Variances) Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via the 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of fifteen trips via the 10 Freeway and fifteen trips via the 60 Freeway. The following table gives the travel times (in minutes) for the thirty trips: 10 Freeway 60 Freeway Travel times in minutes 74, 68, 75, 73, 73, 73, 69, 72, 70, 77, 67, 71, 74, 71, 71 Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.075 level of significance, that the mean travel time via the 10 Freeway is less than the mean travel time via the 60 Freeway? Use Excel to perform the hypothesis test. 75, 69, 73, 70, 78, 74, 78, 70, 74, 71, 76, 74, 75, 77, 70 a. State the null and alternate hypotheses that would be appropriate for this hypothesis test. Use proper notation and formatting. b. Give the value of the test statistic. Round to three decimal places if needed. c. Give the p-value of the test statistic. Round to four decimal places if needed. d. Using the p-value method, should Ho be rejected at the a= 0.075 level of significance? Why or why not? ii. e. Choose an appropriate conclusion based on your decision in part d. i. United States) Accessibility: Investigate The mean travel times via the 10 Freeway is less than the mean travel time via the 60 Freeway. There is not enough evidence to conclude that the mean travel via the 10 Freeway is less than the mean travel time via the 60 Freeway. Focus FO
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2. (t Test (in Excel) for Two Samples with Equal Variances) Amy has two ways to travel from her home in
Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via the 60
Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel
times for samples of fifteen trips via the 10 Freeway and fifteen trips via the 60 Freeway. The following
table gives the travel times (in minutes) for the thirty trips:
AaBbCcDdEe
i.
Normal
ii.
Accessibility: Investigate
AaBb CcDdEe
No Spacing
Travel times in minutes
74, 68, 75, 73, 73, 73, 69, 72, 70, 77, 67, 71, 74, 71, 71
Assume that the two populations of travel times are normally distributed and that the population variances
are equal. Can we conclude, at the 0.075 level of significance, that the mean travel time via the 10 Freeway
is less than the mean travel time via the 60 Freeway?
Use Excel to perform the hypothesis test.
75, 69, 73, 70, 78, 74, 78, 70, 74, 71, 76, 74, 75, 77, 70
a. State the null and alternate hypotheses that would be appropriate for this hypothesis test. Use proper
notation and formatting.
b. Give the value of the test statistic. Round to three decimal places if needed.
c. Give the p-value of the test statistic. Round to four decimal places if needed.
e. Choose an appropriate conclusion based on your decision in part d.
d. Using the p-value method, should Ho be rejected at the a = 0.075 level of significance? Why or why
not?
Aa BbCcDc AaBbCcDdEe AaBb AaBb CcDd Ee
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The mean travel times via the 10 Freeway is less than the mean travel time via the 60 Freeway.
There is not enough evidence to conclude that the mean travel via the 10 Freeway is less than the
mean travel time via the 60 Freeway.
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