Listed the accompanying table are waiting times (seconds) of observed cars at a Delaware inspection station data from two waiting lines are real observations, and the data in 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? OA. Ho: H₁ H₂ H₁: H₂> H₂ OC. Ho: #₁

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One Line    Two Lines
64.3    63.8
156.5    215.6
142.2    85.5
278.5    339.6
252.6    200.3
476.2    629.7
478.3    332.9
474.3    329.1
401.5    915.1
722.3    553.1
760.7    596.7
692.2    865.2
836.9    1090.2
903.4    663.2
733.8    517.8
605.7    566.1
267.9    268.1
309.8    349.8
128.8    95.2
132.8    100.1
122.3    163.4
128.8    100.9
232.8    ""
460.7    ""
481.8    ""
518.1    ""
509.1    ""
580.1    ""

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?
OA. Ho: H₁ H₂
H₁: H₁ H₂
OC. Ho: H₁ <H₂
H₁: H₁ H₂
Calculate the test statistic.
t =
Find the P-value.
(Round to two decimal places as needed.)
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.
Ho because the P-value is
the significance level. There
▼sufficient evidence to warrant
b. Construct the confidence interval suitable for testing the claim in part (a).
<H₁-H₂<
(Round to one decimal place as needed.)
OB. Ho: H₁ H₂
H₁: H₁ H₂
OD. Hot #l
H₁:₁₂
the claim that cars in two queues have mean waiting time equal to that of cars in a single queue.
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? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ <H₂ H₁: H₁ H₂ Calculate the test statistic. t = Find the P-value. (Round to two decimal places as needed.) 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. Ho because the P-value is the significance level. There ▼sufficient evidence to warrant b. Construct the confidence interval suitable for testing the claim in part (a). <H₁-H₂< (Round to one decimal place as needed.) OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Hot #l H₁:₁₂ the claim that cars in two queues have mean waiting time equal to that of cars in a single queue.
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