Question 1177830
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Hi
We are using the T distribution because 
a) we do not know the population standard deviation (very common in most cases)
b) n < 30

Ho:  p = 11
Ha:  p < 11
Sample:  n = 8, mean = 10.05   and s = 2.4853858567922
α=0.01  critical value(df = 7) = 3.5
t =  -.95 /(2.4853858567922/√8) = -1.0811
 |-1.0811| < 3.5
Fail to reject Ho.
Wish You the Best in your Studies.
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