Hono Golf is a manufacturer of golf products in Taiwan and China.One of the golf accessories it produces at its plant in Tainan Hsing,Taiwan,is plastic golf tees.The injector molder produces golf tees that are designed to have an average height of 66 mm.To determine if this specification is met,random samples are taken from the production floor.One sample is contained in the file labeled THeight.Determine if the process is not producing the tees to specification.Use a significance level of 0.01. A)Since t = 2.1953

Question

Hono Golf is a manufacturer of golf products in Taiwan and China.One of the golf accessories it produces at its plant in Tainan Hsing,Taiwan,is plastic golf tees.The injector molder produces golf tees that are designed to have an average height of 66 mm.To determine if this specification is met,random samples are taken from the production floor.One sample is contained in the file labeled THeight.Determine if the process is not producing the tees to specification.Use a significance level of 0.01. A)Since t = 2.1953 < 2.8073 do not reject H₀.There is not sufficient evidence to conclude that the average height of the plastic tees is different from 66 mm. B)Since t = 2.1953 < 2.8073 reject H₀.There is sufficient evidence to conclude that the average height of the plastic tees is different from 66 mm. C)Since t = 1.2814 < 1.9211 do not reject H₀.There is not sufficient evidence to conclude that the average height of the plastic tees is different from 66 mm. D)Since t = 1.2814 < 1.9211 reject H₀.There is sufficient evidence to conclude that the average height of the plastic tees is different from 66 mm.

Quizplus · Accepted Answer

We need to perform a one-sample t-test with null hypothesis H0: μ = 66 (average height of plastic tees is 66 mm) and alternative hypothesis H1: μ ≠ 66 (average height of plastic tees is different from 66 mm). The significance level is 0.01, which means the critical t-value for a two-tailed test with 19 degrees of freedom is 2.8073.

Using the given data from the THeight file, we calculate the sample mean as 65.400 mm and the sample standard deviation as 0.9422 mm. The calculated t-value is 2.1953. Since 2.1953 < 2.8073, we cannot reject the null hypothesis at the 0.01 significance level. Therefore, there is not sufficient evidence to conclude that the average height of the plastic tees is different from 66 mm. The best choice is A.

Hono Golf Is a Manufacturer of Golf Products in Taiwan