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A simulated exercise gave n = 30 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 370.69 and 24.38, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of 0.05.   State the appropriate hypotheses. H0: ? = 360 Ha: ? ≤ 360H0: ? = 360 Ha: ? < 360    H0: ? = 360 Ha: ? ≠ 360H0: ? = 360 Ha: ? > 360 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t=P-value= What can you conclude? Reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.Do not reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.    Reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.Do not reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.

A simulated exercise gave n = 30 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 370.69 and 24.38, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of 0.05.   State the appropriate hypotheses. H0: ? = 360 Ha: ? ≤ 360H0: ? = 360 Ha: ? < 360    H0: ? = 360 Ha: ? ≠ 360H0: ? = 360 Ha: ? > 360 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t=P-value= What can you conclude? Reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.Do not reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.    Reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.Do not reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.

A First Course in Probability (10th Edition)
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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A simulated exercise gave n = 30 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 370.69 and 24.38, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of 0.05.
 
State the appropriate hypotheses.
H0: ? = 360
Ha: ? ≤ 360H0: ? = 360
Ha: ? < 360    H0: ? = 360
Ha: ? ≠ 360H0: ? = 360
Ha: ? > 360
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t=P-value=
What can you conclude?
Reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.Do not reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.    Reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.Do not reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.
Expert Solution
Step 1

Given Information:

The number of observations, n=30

The sample mean, x=370.69

The sample standard deviation, s=24.38

The hypothesized population mean, μ0=360 sec (∴6 minutes=360seconds)

The significance level, α=0.05

 

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