23.The U. S. Department of Health, Education, and Welfare collected sample data for 1525 women, aged 18 to 24. That sample group has a mean serum cholesterol level of 191.7 mg/100mL with a standard deviation of 41.0 mg/100mL. Suppose we want to test the hypothesis that the mean serum cholesterol level of all women in the 18-24 age bracket is 200 mg/100mL. Given the 90% confidence interval of the mean serum cholesterol level of all women in the 18-24 age bracket is (190.0, 193.4), which of the following statements is true?

a.Because 0 is not contained within this confidence interval, we reject H₀and conclude that there is sufficient evidence to warrant rejection of the claim that the mean serum cholesterol level of all women in the 18-24 age bracket is 200 mg/100mL.

b.Because 191.7 mg/100mL is contained within this confidence interval, we fail to reject H₀and conclude that there is not sufficient evidence to warrant rejection of the claim that the mean body temperature of all healthy adults is 191.7 mg/100mL.

c.Because 200 mg/100mL is not contained within this confidence interval, we reject H₀and conclude that there is sufficient evidence to warrant rejection of the claim that the mean serum cholesterol level of all women in the 18-24 age bracket is 200 mg/100mL.

d.We are 95% confident that the interval from 190.0 to 193.4 actually does contain the true value of the population mean serum cholesterol level.

e.There is a 90% chance that the true value of the population mean serum cholesterol level will fall between 190.0 and 193.4.