A study is conducted to determine if bus ridership in a large city is higher during the afternoon rush hours than morning rush hours. The transit authority randomly selects nine buses and on a given day counts the number of riders at 7:45 AM and 4:45 PM. The results are shown below. Conduct an appropriate hypothesis test using 0.05 level of significance. Morning 43 43 37 25 47 42 48 55 52 Afternoon 41 49 44 32 46 55 53 52 50 Determine which of the following formulations of the hypotheses is most appropriate and enter the corresponding number in the answer text box. Note: Index “a” refers to the population of afternoon bus riders and index “m” refers to the population of morning bus riders. For example if you think formulation number 3 is the most appropriate formulation for this problem then enter “3” in the answer text box and re-enter to confirm. H0: μm – μa ≤ 0 Ha: μm – μa > 0 H0: μm – μa ≥ 0 Ha: μm – μa < 0 H0: μd ≤ 0 Ha: μd > 0 the difference is computed as: average number of morning riders – average number of afternoon riders H0: μd ≥ 0 Ha: μd < 0 the difference is computed as: average number of morning riders – average number of afternoon riders H0: m – a ≤ 0 Ha: m – a > 0 H0: m – a ≥ 0 Ha: m – a < 0 H0: Pm – Pa ≤ 0 Ha: Pm – Pa > 0 H0: Pm – pa ≥ 0 Ha: Pm – pa < 0 Your answer is: For part b. of this problem enter the absolute value of your answer in the response text box. Do not include the plus or minus sign with your answer. Enter the answer in x.xxx format. That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format. For example, if your answer is 6.1525, first round it to three decimals which is 6.153 and then enter it as 6.153 to match the format. If your answer is -0.2 then enter it as 0.200 in the answer box and do not include the minus sign. If your answer is 0.32 then enter it as 0.320 to match the format. What is the value of the test statistics? Enter the answer in x.xxx format per instructions for part b. Your answer is: What is the P-value? Enter the answer in x.xxx format per instructions for part b. Your answer is: What is your decision? Enter “R” if your decision is to reject the null hypotheses. Enter “F” if the decision is do not reject the null hypotheses. Your answer (R/F) is:

A study is conducted to determine if bus ridership in a large city is higher during the afternoon rush hours than morning rush hours. The transit authority randomly selects nine buses and on a given day counts the number of riders at 7:45 AM and 4:45 PM. The results are shown below. Conduct an appropriate hypothesis test using 0.05 level of significance. Morning 43 43 37 25 47 42 48 55 52 Afternoon 41 49 44 32 46 55 53 52 50 Determine which of the following formulations of the hypotheses is most appropriate and enter the corresponding number in the answer text box. Note: Index “a” refers to the population of afternoon bus riders and index “m” refers to the population of morning bus riders. For example if you think formulation number 3 is the most appropriate formulation for this problem then enter “3” in the answer text box and re-enter to confirm. H0: μm – μa ≤ 0 Ha: μm – μa > 0 H0: μm – μa ≥ 0 Ha: μm – μa < 0 H0: μd ≤ 0 Ha: μd > 0 the difference is computed as: average number of morning riders – average number of afternoon riders H0: μd ≥ 0 Ha: μd < 0 the difference is computed as: average number of morning riders – average number of afternoon riders H0: m – a ≤ 0 Ha: m – a > 0 H0: m – a ≥ 0 Ha: m – a < 0 H0: Pm – Pa ≤ 0 Ha: Pm – Pa > 0 H0: Pm – pa ≥ 0 Ha: Pm – pa < 0 Your answer is: For part b. of this problem enter the absolute value of your answer in the response text box. Do not include the plus or minus sign with your answer. Enter the answer in x.xxx format. That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format. For example, if your answer is 6.1525, first round it to three decimals which is 6.153 and then enter it as 6.153 to match the format. If your answer is -0.2 then enter it as 0.200 in the answer box and do not include the minus sign. If your answer is 0.32 then enter it as 0.320 to match the format. What is the value of the test statistics? Enter the answer in x.xxx format per instructions for part b. Your answer is: What is the P-value? Enter the answer in x.xxx format per instructions for part b. Your answer is: What is your decision? Enter “R” if your decision is to reject the null hypotheses. Enter “F” if the decision is do not reject the null hypotheses. Your answer (R/F) is:

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Morning	43	43	37	25	47	42	48	55	52
Afternoon	41	49	44	32	46	55	53	52	50

Determine which of the following formulations of the hypotheses is most appropriate and enter the corresponding number in the answer text box.

Note: Index “a” refers to the population of afternoon bus riders and index “m” refers to the population of morning bus riders.

For example if you think formulation number 3 is the most appropriate formulation for this problem then enter “3” in the answer text box and re-enter to confirm.

H₀: μ_m – μ_a ≤ 0 H_a: μ_m – μ_a > 0
H₀: μ_m – μ_a ≥ 0 H_a: μ_m – μ_a < 0
H₀: μ_d ≤ 0 H_a: μ_d > 0 the difference is computed as: average number of morning riders – average number of afternoon riders
H₀: μ_d ≥ 0 H_a: μ_d < 0 the difference is computed as: average number of morning riders – average number of afternoon riders
H₀: _m – _a ≤ 0 H_a: _m – _a > 0
H₀: _m – _a≥ 0 H_a: _m – _a < 0
H₀: P_m– P_a≤ 0 H_a: P_m – P_a > 0
H₀: P_m – p_a≥ 0 H_a: P_m – p_a < 0

Your answer is:

For part b. of this problem enter the absolute value of your answer in the response text box. Do not include the plus or minus sign with your answer. Enter the answer in x.xxx format. That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format. For example, if your answer is 6.1525, first round it to three decimals which is 6.153 and then enter it as 6.153 to match the format. If your answer is -0.2 then enter it as 0.200 in the answer box and do not include the minus sign. If your answer is 0.32 then enter it as 0.320 to match the format.

What is the value of the test statistics? Enter the answer in x.xxx format per instructions for part b.

Your answer is:

What is the P-value? Enter the answer in x.xxx format per instructions for part b.

Your answer is:

What is your decision?

Enter “R” if your decision is to reject the null hypotheses. Enter “F” if the decision is do not reject the null hypotheses.

Your answer (R/F) is:

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