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Listed in the accompanying table are waiting times (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real observations, and the data from the single waiting line are modeled from those real observations. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume th the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the waiting times. a. Use a 0.01 significance level to test the claim that cars in two queues have mean waiting time equal to that of cars in a single queue. Let population 1 correspond to the single waiting line and let population 2 correspond to two waiting lines. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H#2 H₁: H₁ H₂ OB. Ho: H1 H₂ H₁ H₁ H₂ Ho because the P-value is waiting time equal to that of cars in a single queue. b. Construct the confidence interval suitable for testing the claim in part (a). H₂ Calculate the test statistic. t=(Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.01. the significance level. There sufficient evidence to warrant the claim that cars in two queues have a mean

Listed in the accompanying table are waiting times (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real observations, and the data from the single waiting line are modeled from those real observations. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume th the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the waiting times. a. Use a 0.01 significance level to test the claim that cars in two queues have mean waiting time equal to that of cars in a single queue. Let population 1 correspond to the single waiting line and let population 2 correspond to two waiting lines. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H#2 H₁: H₁ H₂ OB. Ho: H1 H₂ H₁ H₁ H₂ Ho because the P-value is waiting time equal to that of cars in a single queue. b. Construct the confidence interval suitable for testing the claim in part (a). H₂ Calculate the test statistic. t=(Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.01. the significance level. There sufficient evidence to warrant the claim that cars in two queues have a mean

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Listed in the accompanying table are waiting times (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real observations, and the data from the single waiting line are modeled from those real observations. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the waiting times. a. Use a 0.01 significance level to test the claim that cars in two queues have a mean waiting time equal to that of cars in a single queue. Let population 1 correspond to the single waiting line and let population 2 correspond to two waiting lines. What are the null and alternative hypotheses? A. Ho: H₁ = ₂ H₁ H₁ H₂ C. Ho: H₁ H₂ H₁: H₁ H₂ Calculate the test statistic. t= (Round to two decimal places as needed.) Find the P-value. B. Ho: M₁ <H₂ H₁:₁ = H₂ Ho because the P-value is waiting time equal to that of cars in a single queue. b. Construct the confidence interval suitable for testing the claim in part (a). |<H₁ - H₂ < D. Ho: M₁ = ₂ H₁: H₁ H₂ P-value = (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.01. the significance level. There sufficient evidence to warrant the claim that cars in two queues have a mean
Transcribed Image Text:Listed in the accompanying table are waiting times (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real observations, and the data from the single waiting line are modeled from those real observations. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the waiting times. a. Use a 0.01 significance level to test the claim that cars in two queues have a mean waiting time equal to that of cars in a single queue. Let population 1 correspond to the single waiting line and let population 2 correspond to two waiting lines. What are the null and alternative hypotheses? A. Ho: H₁ = ₂ H₁ H₁ H₂ C. Ho: H₁ H₂ H₁: H₁ H₂ Calculate the test statistic. t= (Round to two decimal places as needed.) Find the P-value. B. Ho: M₁ <H₂ H₁:₁ = H₂ Ho because the P-value is waiting time equal to that of cars in a single queue. b. Construct the confidence interval suitable for testing the claim in part (a). |<H₁ - H₂ < D. Ho: M₁ = ₂ H₁: H₁ H₂ P-value = (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.01. the significance level. There sufficient evidence to warrant the claim that cars in two queues have a mean
Waiting Times One Line 64.1 156.7 141.9 278.8 253.2 476.2 477.9 474.2 401.8 722.1 760.8 692.3 837.1 902.9 733.8 605.8 267.5 310.3 128.8 133.3 122.4 128.7 233.3 460.7 481.8 517.6 508.8 579.6 Two Lines 63.5 216.3 86.1 340.3 199.6 629.5 332.6 328.9 915.2 552.9 597.2 864.5 1089.5 663.3 517.5 566.4 267.6 349.8 94.6 100.3 162.9 101.2
Transcribed Image Text:Waiting Times One Line 64.1 156.7 141.9 278.8 253.2 476.2 477.9 474.2 401.8 722.1 760.8 692.3 837.1 902.9 733.8 605.8 267.5 310.3 128.8 133.3 122.4 128.7 233.3 460.7 481.8 517.6 508.8 579.6 Two Lines 63.5 216.3 86.1 340.3 199.6 629.5 332.6 328.9 915.2 552.9 597.2 864.5 1089.5 663.3 517.5 566.4 267.6 349.8 94.6 100.3 162.9 101.2
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