Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assum
e all variables are positive) 
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Answer: 1.460
Step-by-step explanation:
Given : Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college.
Let represents the population mean .
Then, the set of hypothesis will be:-
We assume that this is normal distribution.
Sample size : n = 10, which is a small sample (n<30) ,s o we use t-test.
Sample mean :
Standard deviation :
The test statistic for population mean for small sample is given by :-
Hence , the value of test statistic = 1.460