What can be concluded at the the αα = 0.10 level of significance level of significance?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The average wait time to get seated at a popular restaurant in the city on a Friday night is 14 minutes.  Is the mean wait time greater for men who wear a tie? Wait times for 11 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal.

16, 15, 12, 13, 16, 15, 16, 16, 16, 15, 15

What can be concluded at the the αα = 0.10 level of significance level of significance?

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:     

 H0:H0:                 

 H1:H1:              

  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     αα
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the populaton mean is significantly more than 14 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is more than 14.
    • The data suggest that the population mean wait time for men who wear a tie is not significantly more than 14 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 14.
    • The data suggest the population mean is not significantly more than 14 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 14.
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