A manufacturer produces plastic golf tees. The injector molder produces golf tees that are designed to have an average height of 64 mm. To determine if this specification is met, random samples are taken from the production floor. One sample is contained in the table below.

64.55

64.73

63.02

63.15

64.26

63.69

63.05

66.21

63.91

64.04

65.24

63.56

64.07

64.42

64.21

64.17

64.45

65.32

65.12

63.89

65.29

64.26

64.72

63.91

a.

Determine if the process is not producing the tees to specification. Use a significance level of

0.01.

b.

If the hypothesis test determines the specification is not being met, the production process will be shut down while causes and remedies are determined. At times this occurs even though the process is functioning to specification. What type of statistical error would this be?

a. State the appropriate null and alternative hypotheses. Choose the correct answer below.

A.H0: 64 HA: =64

B. H0: >64 HA: 64

C. H0: <64 HA: 64

D. H0: =64 HA: 64

E. H0: 64 HA: >64

F. H0: 64 HA: <64

Determine the critical value(s) for =0.10.

choose -t,+-t/2,t=??????

(Use a comma to separate answers as needed. Round to four decimal places as needed.)

Calculate the test statistic.

t=???????

(Round to four decimal places as needed.)

State the conclusion. Choose the correct answer below.

A. Do not reject the null hypothesis. There is sufficient evidence that the golf tees do not have an average height of 64 mm.

B. Reject the null hypothesis. There is not sufficient evidence that the golf tees do not have an average height of 64 mm.

C. Reject the null hypothesis. There is sufficient evidence that the golf tees do not have an average height of 64 mm.

D. Do not reject the null hypothesis. There is not sufficient evidence that the golf tees do not have an average height of 64 mm.

b. If the hypothesis test determines the specification is not being met, the production process will be shut down. If this occurs even though the process is functioning to specification, what type of statistical error would this be?

A.Type I error

B.Type II error