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Last year the average age of UH students was 21.3 years. This semester, in order to...

Last year the average age of UH students was 21.3 years. This semester, in order to meet the needs of older students, more evening classes are scheduled. Has the average age of UH students increased this semester? To answer this question, a random sample of 64 students enrolled this semester was studied. The average age of these students was x = 22.1 years and standard deviation s = 2.7 years. To test the hypothesis use 0.01 significance level.

Math   Statistics-And-Probability   
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Answer #1

n = 64

S =2.7

Null and alternative hypothesis is

Level of significance = 0.01

Here population standard deviation is not known so we use t-test statistic.

Test statistic is

Degrees of freedom = n - 1 = 64-1=63

P-value = 0.0104 ( using t table)

P-value ,Failed to Reject H0

conclusion : There is insufficient evidence to conclude that the average age of UH students increased this semester

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