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 12...

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 12 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 21.1 minutes. The standard deviation for this survey group was 4 minutes.  What can be concluded at the α = 0.05 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:  ? p μ  Select an answer < = > ≠

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

1. The test statistic ? z t  = (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 accept fail to reject reject  the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The data suggest that the population mean amount of time to assemble the Meat Man barbecue is not
     significantly
     higher than 18 at αα = 0.05, 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 = 0.05, 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.
   
   
   • The data suggest the populaton mean is
     significantly
     higher than 18 at αα = 0.05, 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.