Question
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 agoRelated Solutions
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