Question

The commercial for the new Meat Man Barbecue claims that it takes 8 minutes for assembly. A consumer advocate thinks that the assembly time is different than 8 minutes. The advocate surveyed 10 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 6.5 minutes. The standard deviation for this survey group was 3.6 minutes. 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  ? > = ≠ <       

H1:H1:  ? p μ  ? < ≠ = >    

3. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? ≤ >  αα
6. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.

Answer 1

using minitab

stat>basic stat>1 sample t> enter data> set hypothesis value>ok

the output as follows

Test of μ = 8 vs ≠ 8

N Mean StDev SE Mean 99% CI T P
10 6.50 3.60 1.14 (2.80, 10.20) -1.32 0.220

1. or this study, we should use t-test for a population mean since n<30
2. The null and alternative hypotheses would be:

H0:μ = 8   

H1:μ ≠ 8  

3. The test statistic t = -1.32
4. The p-value = 0.220
5. The p-value is >  α
6. Based on this, we should Select fail to reject the null hypothesis.