A study was conducted to explore the relationship between women's age (X) and muscle mass (Y) after the age of 40. A total of 46 women between the ages of 41 and 78 were sampled. The mean age was 59.98 and the sample variance was 139.17.

We are interested to test whether the population mean age () is different from 65 years at the 5% level of significance.

If the two sided p-value =0.021, what will your conclusion be?

a) Reject the null and claim that the mean age cannot be 65 year since the two-sided p-value<0.05

b) Reject the null and claim that the mean age cannot be 65 year since two-sided p-value<0.025

c) Do not reject the null and claim that the mean age can be 65 year since two-sided p-value<0.025

d) Do not reject the null and claim that the mean age can be 65 year since two-sided p-value<0.05