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 commercial for the new Meat Man Barbecue claims that it takes 18 minutes for assembly. A consumer advocate thinks that the assembly time is higher than 18 minutes. The advocate surveyed 14 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 19 minutes. The standard deviation for this survey group was 2.3 minutes.  What can be concluded at the the αα = 0.01 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 higher than 18 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is higher than 18.
    • The data suggest that the population mean amount of time to assemble the Meat Man barbecue is not significantly higher than 18 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is higher than 18.
    • The data suggest the population mean is not significantly higher than 18 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is equal to 18.
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