(15 points) The data for a sample of 80 steel parts, given in Q1 of M9-Assignment.xlsx, shows the reported difference, in inches, between the actual length of the steel part and the specified length of the steel part. For example, a value of minus 0.002 represents a steel part that is 0.002 inch shorter than the specified length.

(12 points) At the 0.05 level of significance, is there evidence that the mean difference is more than 0.0 inches? State the null and alternative hypotheses.

(3 points) Do you have to be concerned about the normality assumption?

(15 points) According to a recent report, 48% of college student internships are unpaid. A recent survey of a group of college interns is shown in Q2 of the M9-Assignment.xlsx.

Use p-value approach to hypothesis testing and a 0.10 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.48. State the null and alternative hypotheses.

0.001 0.003 0.0015 0.003 0.003 -0.001 -0.002 0.0005 0.002 -0.003 0.001 -0.001 0.003 0.001 -0.003 -0.002 -0.0025 0.0025 -0.003 -0.001 -0.0025 0.002 -0.0025 0.0015 -0.001 0.001 0.003 -0.003 -0.0025 0.001 0.0005 0.001 0.001 0.003 -0.0015 0.001 -0.002 -0.002 0.0015 0.0015 0.0005 -0.0015 -0.0015 -0.0005 0.002 -0.003 0.001 0.001 -0.0005 -0.001 -0.002 -0.002 0.001 0.0015 -0.0015 0.0005 0.001 -0.0015 0.0025 -0.0015 0.0005 -0.001 0.0025 0.0015 -0.0025 0.002 -0.003 -0.0025 0 -0.0005 -0.0025 0.0005 0.002 -0.001 0.0015 0.003 0.0025 0.003 0.002 0.003