Listed below are heights (in cm) of randomly selected females and males.

Female 163.7, 163.5, 163.1, 166.3, 163.6, 170.9, 153.5, 155.7, 153.0, 157.0

Male 178.8, 177.5, 187.8, 172.4, 181.7, 169.0, 186.9, 183.1, 176.4, 183.4

Assume that heights of both males and females are normally distributed. Use a 0.01

significance level to test the claim that on average females are shorter than males.

use the following steps:

Step 1. Write the Claim, Null Hypothesis and Alternative Hypothesis in symbols.

Step 2.Identify

Step 3. Check and identify the requirements for this test.

Step 4. State the test statistic and P-value (use Excel but do not round the results)

Step 5. State your decision to either reject or fail to reject the null hypothesis and why.

Step 6. Consider the claim and your decision and state the conclusion in the context of the problem.