MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 minutes.  Is the mean wait time different 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.

5, 6, 5, 8, 5, 9, 9, 7, 5, 6, 8

What can be concluded at the the αα = 0.01 level of significance level of significance?

  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion 
  2. The null and alternative hypotheses would be:     

 H0:H0:  ? μ p  Select an answer > ≠ < =       

 H1:H1:  ? p μ  Select an answer > < ≠ =    

  1. The test statistic ? t z  =  (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 Select an answer reject accept fail to reject  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest that the population mean wait time for men who wear a tie is not significantly different from 7 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is different from 7.
    • The data suggest the population mean is not significantly different from 7 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 7.
    • The data suggest the populaton mean is significantly different from 7 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is different from 7.
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