Please give step by step explanations.

Question 47(4 points)

Whitefish have lengths that vary according to a normal distribution. We want to see if there is any evidence that the population mean length is not 9cm. A simple random sample of 10 Whitefish has sample mean length 8.5cm and sample standard deviation 1.2cm. Let denote the mean length of all Whitefish . Test H0 : = 9 against a suitable alternative. What doyou conclude, using = 0.05?

Question 47 options:

accept the null hypothesis

reject the null hypothesis because the sample mean is not equal to 9

fail to reject the null hypothesis

reject the null hypothesis