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). 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. H0: μ1≠μ2 H1: μ1=μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1<μ2 H1: μ1=μ2 D. H0: μ1=μ2 H1: μ1≠μ2 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. ▼ Fail to reject Reject H0 because the P-value is ▼ greater than less than or equal to the significance level. There ▼ is is not sufficient evidence to warrant ▼ support for rejection of the claim that cars in two queues have a mean waiting time equal to that of cars in a single queue. b. Construct the confidence interval suitable for testing the claim in part (a). _____ <μ1−μ2< _____ (Round to one decimal place as needed.)
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). 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. H0: μ1≠μ2 H1: μ1=μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1<μ2 H1: μ1=μ2 D. H0: μ1=μ2 H1: μ1≠μ2 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. ▼ Fail to reject Reject H0 because the P-value is ▼ greater than less than or equal to the significance level. There ▼ is is not sufficient evidence to warrant ▼ support for rejection of the claim that cars in two queues have a mean waiting time equal to that of cars in a single queue. b. Construct the confidence interval suitable for testing the claim in part (a). _____ <μ1−μ2< _____ (Round to one decimal place as needed.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 4E
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Question
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).
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?
H0:
μ1≠μ2
H1:
μ1=μ2
H0:
μ1=μ2
H1:
μ1>μ2
H0:
μ1<μ2
H1:
μ1=μ2
H0:
μ1=μ2
H1:
μ1≠μ2
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.
▼
Fail to reject
Reject
H0
because the P-value is
▼
greater than
less than or equal to
▼
is
is not
▼
support for
rejection of
b. Construct the confidence interval suitable for testing the claim in part (a).
_____ <μ1−μ2< _____
(Round to one decimal place as needed.)
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