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In: Statistics and Probability

The average annual tuition and fees for a sample of 18 private colleges was $39, 800...

The average annual tuition and fees for a sample of 18 private colleges was $39, 800 with a standard deviation of $8, 500. A dotplot shows that it is reasonable to assume the population is approximately normal. Is there enough evidence to say the mean tuition and fees for private colleges differs from 37, 000? Use a significance level α = 0.01. Be sure to provide your hypotheses, t-statistic, and reasoning to reject or fail to reject H0.

Solutions

Expert Solution

Solution :

= 37000

=39800

S =8500

n = 18

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 37000

Ha :     37000

Test statistic = t

= ( - ) / S / n

= (39800 - 37000 ) / 8500 / 18

= 1.398

Test statistic = t =1.398  

P-value =0.1802

= 0.01

P-value ≥

0.1802 ≥ 0.01

Do not reject the null hypothesis .

There is insufficient evidence to suggest that   

orchestra answered 2 years ago
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