Assume the population is normally distributed Given a sample

Assume the population is normally distributed. Given a sample size of 25, with sample mean 740 and sample standard deviation 80, we perform the following hypothesis test.

H0:

Solution

a) This is test for sample mean. As sample size is small, t critical value can be used.

b) test statistic t = -0.6250

df =24

c) p value =0.7310

d) p value >alpha, accept null hypothesis.

The difference between x bar and mu are not statistically significant.