The claim is the mean height of women is 64.0 inches. A random sample of 40 women was collected and the mean height for the women was 64.9 inches with a standard deviation of 2.5 inches. Use a 0.05 significance level to test the claim that the mean height of all women for this population that the sample came from is more than 64.0 inches. a. Write the null and alternative hypotheses.
b. Determine the test statistic.
c. Determine the range of values for the P-value.
d. Write the decision about the null hypothesis and explain how you reached it.
e. Write the conclusion. f. Determine the type of error could you have made and explain why. Explain what it means in terms of your word problem. (Type I or Type II)