Ap Statistics Question

Question

Mr. Sprocket is a frugal businessman who commissioned a manufacturing plant to produce gears for his latest venture. Mr. Sprocket wants the gears to have a diameter of 3.6 cm. However, Mr. Sprocket thinks the manufacturing plant is making the gears the wrong size. So, he decides to obtain a random sample of 100 gears and runs a 1 Sample Mean Hypothesis Test to test his theory. He calculates his test statistic to be 3.9cm and determines the P-value of his test statistic to be 0.0006.

Answer 1

So H0 : mean = 3.6

H1 : mean <> 3.6

P is 0.0006. If you assume alpha (significance level) is 0.05, then P < alpha so you will reject the null hypothesis and accept the alternative hypothesis

There is sufficient eviidence to support his claim that it is making gears the wrong size