A simulated exercise gave n = 26 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 371.15 and 23.02, 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. USE SALT

MATLAB: An Introduction with Applications
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A simulated exercise gave n = 26 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 371.15 and 23.02, 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.
USE SALT
State the appropriate hypotheses.
Ho: μ = 360
Ha: μ< 360
Ho: μ = 360
Ha: μ> 360
Ho: μ = 360
H₂H ≤ 360
Ho: μ = 360
H₂: μ = 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?
O Do not reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.
O Do not reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.
O Reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.
O Reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:A simulated exercise gave n = 26 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 371.15 and 23.02, 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. USE SALT State the appropriate hypotheses. Ho: μ = 360 Ha: μ< 360 Ho: μ = 360 Ha: μ> 360 Ho: μ = 360 H₂H ≤ 360 Ho: μ = 360 H₂: μ = 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? O Do not reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min. O Do not reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min. O Reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min. O Reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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