SOLUTION: The commercial for the new Meat Man Barbecue claims that it takes 15 minutes for assembly. A consumer advocate thinks that the assembly time is different than 15 minutes. The advoc

Question 1197696: The commercial for the new Meat Man Barbecue claims that it takes 15 minutes for assembly. A consumer advocate thinks that the assembly time is different than 15 minutes. The advocate surveyed 12 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 11.8 minutes. The standard deviation for this survey group was 3.9 minutes. What can be concluded at the the
α
= 0.05 level of significance level of significance?
For this study, we should use
t-test for a population mean
Correct
The null and alternative hypotheses would be:

H
0
:

μ
Correct
≠
Incorrect

H
1
:

μ
Correct
<
Incorrect

The test statistic
t
Correct =
(please show your answer to 3 decimal places.)
The p-value =
(Please show your answer to 4 decimal places.)
The p-value is
≤
Correct
α

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Ho: u = 15 (claim)
Ha: u < 15
x̄ = 11.8 , s = 3.9, n = 12
0.05 level of significance level
t(11.8) = = -2.842 rounded
one-tailed
p-value = P(z ≤ -2.842) = .008 Excel function: =TDIST(t,degrees_freedom,tails),
.008 <.05 Reject Ho

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