Use Minitab as much as you see fit to answer the following questions.

1. The provided data arrows2samp.txt gives efficiency measurements (in terms of the

actual kinetic energy in the launched arrow as a percentage of its potential energy) on two types of arrow shafts (types coded as 2213 and 2117) measured 20 meters downrange from the launching bow. The experiment was conducted as follows: Since there may be “archer” effects, 20 male subjects were randomly selected from a pool of candidates to serve as archers. Each archer launched an arrow shaft of each type, using a coin flip to determine order. All 40 of these measurements were carried out in completely random order.

a. Discuss the assumptions of the procedure you intend to use to compare the mean efficiency of shaft type 2213 to shaft type 2117.

b. Construct and interpret a 95% confidence interval for the difference in (long-run) mean efficiencies between the two shaft types.

2. An experimenter set up a simulated manufacturing line consisting of a team of subjects whose job it was to construct a fairly complex dinosaur out of Lego blocks. Each team was allowed an hour to construct as many such dinos as it could, and after that time the response

Y = proportion of acceptable dinos constructed

was recorded for the team. This process was repeated for 28 teams. Fourteen of the teams had their quality inspected by a “foreman”, whereas the other fourteen teams were held responsible for their own quality. In all other respects, the teams were given identical instructions, and the 28 experimental runs were done in completely random order. The provided data dinos2.txt has two variables; the first represents the values of Y for the “foreman-based” quality control approach, the second for the “worker-based” approach.

a. Conduct a test of the hypothesis of homoscedasticity. Give hypotheses, a P-value, and an interpretation. Do you feel comfortable doing this test for this data? Why or why not?

b. What test would you use for the hypothesis that the long-run mean proportion of acceptable dinos constructed under the foreman-based approach does not differ from that of the worker-based approach? Justify your answer; in doing this, say (for example) which diagnostics you inspected and interpret each of these.

c. Conduct the test referred to in art (b); provide hypotheses, test statistic value, P-value and interpretation.

d. Construct and interpret a 90% confidence interval for the difference in long-run means between the two strategies.

Price: $53.75

Solution: The downloadable solution consists of 11 pages, and 1308 words
Deliverable: Word Document and pdf