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17 Nov 2021
Given information
The mean age of graduate students at a University = 31 years
The standard deviation of graduate students at a University = 2 years
Size of the sample, n = 15
The sample mean = 32 years
The sample standard deviation = 3 years
p-value = 0.0264
Level of significance = 1% i.e. 
Step-by-step explanation
Step 1.
Let mean age of graduate students at a University be 
Null Hypothesis is represented by 
Alternative Hypothesis is represented by 
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
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