Worksheet_Hypothesis_Testing_wanswers - Hypothesis Testing...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Hypothesis Testing Worksheet 1. Suppose an experiment is run to determine if a father’s weight is different from their college age son’s weight. 68 males had their weights recorded along with their father’s. The sample mean of the differences was -17 pounds with a standard deviation of 33 pounds. a. Do a hypothesis test at the alpha = 0.05 level to see if the difference is truly significant. (Use the 7-steps and show your work for all steps.) Ho: Mdiff=0 vs Ha: Mdiff (not=) 0 Assumptions assumed met, t=-17/(33/sqrt(68)) = -4.248048 p-value < 0.001 Reject Ho in favor of Ha At the 5% significance level, there is enough evidence to reject the null that the weights are the same for father and college age son in favor of the alternative that the weights are different. b. Calculate a 95% confidence interval for the true mean difference. How is the interpretation of your C.I. related to your conclusion from (d)? -17 +/- 2*33/sqrt(68) = (-25, -9) The interpretation is: we are 95% confident the true value lies between -25 and 9 lbs. Since 0 is not in this interval it is not a value we believe to be a possibility for Mdiff. We also used the same significance value (alpha) and rejected 0 as a legitimate value in our hypothesis test.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2. Suppose the Michelin tire company interested in showing that a certain type of their tires last longer than 30,000 miles. They take a random sample of size n=25. The sample mean is 30,986 miles and the sample standard deviation is 930 miles. Do a hypothesis test at the alpha = 0.10 level.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/10/2009 for the course STAT 311 taught by Professor Staff during the Spring '08 term at N.C. State.

Page1 / 4

Worksheet_Hypothesis_Testing_wanswers - Hypothesis Testing...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online