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According to an article in the Washington Post, the average U.S. consumption of French Fries (per...

According to an article in the Washington Post, the average U.S. consumption of French Fries (per person per year) is 28.0 pounds. Suppose that you believe that the average in Mercer County is not 28.0 pounds. You randomly survey 25 people in this county. The sample average is only 25.6 pounds with a sample standard deviation of 11.4 pounds. Conduct an appropriate hypothesis test and at the 0.05 significance level and write the correct conclusion.

Math   Statistics-And-Probability   
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Answer #1

Solution :

= 28.0

=25.6

S =11.4

n = 25

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 28.0

Ha :     28.0

Test statistic = t

= ( - ) / S / n

= (25.6-28.0) /11.4 / 25

= -1.053

Test statistic = t =-1.053  

P-value =0.3030

= 0.05  

P-value >

0.3030 > 0.05

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that

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