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A study is performed in a large southern town to determine whether the average amount spent...

A study is performed in a large southern town to determine whether the average amount spent on food per family in the town is significantly different from the national average. A random sample of the weekly grocery bills of 100 families in this town had a mean of $155.33 and a standard deviation of $23.94. Assume the national average amount spent on food for a four-person family is $150.

What is the p-value?

A 2.226

B 2.394

C 99

D 0.028

math   Statistics-And-Probability   
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Answer #1

H0: = 150

Ha: 150

This is two tailed test.

Test statistics

t = ( - ) / ( S / sqrt(n) )

= (155.33 - 150) / ( 23.94 / sqrt(100) )

= 2.23

From T table,

With test statistics of 2.23 and df of 99,

two tailed p-value = 0.0280

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