In: Statistics and Probability
Ha: µ > 15
when a random sample of size 18 was taken from a normal population whose standard deviation is unknown and the value of the test statistic equals 2.35.
a.
Degrees of freedom = df = n - 1 = 18 - 1 = 17
t = 2.35
We can use Excel function "TDIST()" as :
P-value = 0.0156
b.
98% confidence interval : ( 0.137 , 0.363 )