# Hypothesis test question

• May 10th 2009, 03:24 AM
shawn
Hypothesis test question
Hello,

I have a question that I'm having a problem with. I have two samples (male and female).
Sample size: 40
Data that we're comparing:
1. Pulse Rate
Male:

• Standard Deviation = 11.29738
• Mean: 69.4

Female:

• Standard Deviation = 12.49862
• Mean: 76.3

2. Diastolic Pulse Rate
Male:

• Standard Deviation = 9.132886476
• Mean: 73.225

Female:

• Standard Deviation = 11.62642327
• Mean: 67.425

Question:
1. Perform a hypothesis to test the claim that the mean male pulse rate is the same as the
mean female pulse rate. Use alpha = 0.01.

2. Perform a hypothesis to test the claim that the mean male diastolic pulse rate is
greater than the mean female diastolic pulse rate. Use alpha = 0.01.

For each, I need to know:

• The null and alternative hypotheses
• Significance level and rejection criterion (either in terms of the p-value or the critical values)
• The calculations
• Whether to accept the null hypothesis

• May 10th 2009, 02:44 PM
matheagle
A few things need to be cleared up.
First of all, do we have 20 men and 20 females, or 40 of each?
Next, we need to test or assume that the populations variances are equal.
Both are t statitsics.
We need to know if we should pool the smaple variances or use satterwaite's approximation.
Based on the data (which is cheating) I would assume that the pop st deviations are equal.

In that case use the formula below .... Unequal sample sizes, equal variance
from ....http://en.wikipedia.org/wiki/T-test

The second problem is clear.
It's a one sided test.
The first one I would guess is a two sided test.