Perform the Indicated Hypothesis Test $$\alpha = 0.05$$

Perform the indicated hypothesis test. Be sure to do the following: identify the claim and state the null and alternative
hypotheses. Determine the critical value and rejection region. Calculate the test statistic. Decide to reject or to fail to
reject the null hypothesis and interpret the decision in the context of the original claim. Assume that the samples are
independent and that each population has a normal distribution.
-The weights of a random sample of 121 women between the ages of 25 and 34 had a standard deviation of 28
pounds. The weights of 121 women between the ages of 55 and 64 had a standard deviation 21 pounds. Test
the claim that the older women are from a population with a standard deviation less than that for women in
the 25 to 34 age group. Use $$\alpha = 0.05$$