Question

2. [10 marks] A company wants the population mean length of their product to be 5 inches. The company knows the population standard deviation of the length of each product is 0.25 inches, and that the lengths are normally distributed. A quality assurance analyst wants to determine if the manufacturing process results in products that are too short. The analyst gets a sample of 10 units of product, and calculates a sample mean length of 4.75 inches.

Conduct a hypothesis test to determine if the products are too short on average. Show all 5 steps of hypothesis testing. Show all of your work. When you calculate the test statistic, show all of the following: the equation you use, how you plug in, and your final rounded answer (remember, z-scores are always rounded to 2 decimal places).

Answer 1