Math 211

Written Homework # 7

I have attempted this assignment honestly and the material submitted is my own work. I have only worked with the other group members listed on this page. I have not copied from any source, and cited any materials I have used outside of lecture notes and the textbook.

Names: Signatures:

Chapter Objectives (ch 21-24): Identify the population parameter of interest Construct appropriate confidence intervals

Run appropriate hypothesis tests

Due Date: Monday, August 14

Statistics Summer 2017

For each of the studies described below, do the following:

(a) Identify the population parameter we are seek to learn about.

(b) Check that the conditions and assumptions necessary for our analysis are met.

(c) Construct a 95% confidence interval, and interpret this interval.

(d) Run a hypothesis test with α = .05. Be sure to clearly describe all the steps necessary.

(e) Describe the types of errors possible and discuss the possible effects of making these errors.

1 You believe that caffeine improves physical endurance.

On canvas, I’ve linked you to a data set showing information about the effects of caffeine on cyclists. Each of 9 cyclists were dosed with 5mg and 13mg of caffeine on separate occasions, and rode an exercise bike at 80% intensity until exhaustion. The data given is the minutes until exhaustion for each cyclist for each dose of caffeine.

Source: W.J. Pasman, M.A. van Baak, A.E. Jeukendrup, A. de Haan (1995). “The Effect of Different Dosages of Caffeine on Endurance Performance Time”, International Journal of Sports Medicine, Vol. 16, pp. 225-230.

2 You believe that women who engage in sexual activity in a slasher movie die at a higher rate than their male counterparts.

On canvas, I’ve linked you to a data set showing information about the gender, sexual activity and survival of 485 characters from 50 randomly chosen slasher movies.

Source: A. Welsh (2010). “On the Perils of Living Dangerously in the Slasher Horror Film: Gender Differences in the Association Between Sexual Activity and Survival,” Sex Roles, Vol. 62 pp. 762-773

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