A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test H0:µ=175 millimeters versus H1:µ>175 millimeters, using the results of n=10 samples.
a. Does the null hypothesis should be accepted? Use !=0.01, and write your conclusion.
b. Find the P_value.