Question

In: Statistics and Probability

1-3) An industrial supplier has shipped a truckload of teflon lubricant cartridges to an aerospace customer....

1-3) An industrial supplier has shipped a truckload of teflon lubricant cartridges to an aerospace customer. The customer has been assured that the mean weight of these cartridges is more than 15 ounces. To check this claim, a sample of 25 cartridges are randomly selected from the shipment and carefully weighed. Summary statistics for the sample are:

x-bar=15.16 ounces, s = .30 ounces

1. The appropriate hypotheses to test are:

A. H0: x-bar ≤ 15 versus H1: x-bar > 15.

B. H0: μ ≤ 15 versus H1: μ > 15.

C.  H0: x-bar ≤ 15.16 versus H1: x-bar > 15.16

D. H0: μ ≥ 15 versus H1: μ < 15.

2.

Using the sample information provided, calculate the value of the test statistic.

A. t=(15.16-15)/(0.30/25)=13.33

B. t=(15-15.16)/(0.30/5)=−2.67

C. t=15.16-15/(0.30/5)=−234.85

D. t=(15.16-15)/(0.30/5)=2.67

3.

Suppose the level of significance is 0.005, which of the following is correct?

A. Reject H0.

B. Fail to reject H0.

C. We cannot tell what her decision should be from the information given.

D. None

Solutions

Expert Solution

1. The appropriate hypotheses to test are:
Answer : B. H0: μ ≤ 15 versus H1: μ > 15.

2.Using the sample information provided, calculate the value of the test statistic.
Answer : D. t=(15.16-15)/(0.30/5)=2.67

3.Suppose the level of significance is 0.005,
answer : B. Fail to reject H0.

Explanation :

PL??


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