The average wait time to get seated at a popular restaurant in the city on a Friday night is 10 minutes.  Is the mean wait time less for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 7, 10, 11, 9, 11, 7, 8, 11, 9, 9, 11, 9, 11, 9, 7 What can be concluded at the the α = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be:       H0:          H1:      The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α   Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly less than 10 at α = 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 10. The data suggest that the population mean wait time for men who wear a tie is not significantly less than 10 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is less than 10. The data suggest the populaton mean is significantly less than 10 at α = 0.10, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is less than 10.

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Author:Amos Gilat
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The average wait time to get seated at a popular restaurant in the city on a Friday night is 10 minutes.  Is the mean wait time less for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal.

7, 10, 11, 9, 11, 7, 8, 11, 9, 9, 11, 9, 11, 9, 7

What can be concluded at the the α

= 0.10 level of significance level of significance?

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

 H0:

  

    

 H1:

  

 

  1. The test statistic
  2. = (please show your answer to 3 decimal places.)
  3. The p-value = (Please show your answer to 4 decimal places.)
  4. The p-value is

α

  •  
  • Based on this, we should
  • the null hypothesis.
  • Thus, the final conclusion is that ...
    • The data suggest the population mean is not significantly less than 10 at α
  • = 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 10.
  • The data suggest that the population mean wait time for men who wear a tie is not significantly less than 10 at α
  • = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is less than 10.
  • The data suggest the populaton mean is significantly less than 10 at α

= 0.10, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is less than 10.

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