Answer the following questions please

Question 1

You record body weight from males and females (15 of each sex) with the intent to determine if there is a sex difference in body weight. First, you perform a Kolmogorov-Smirnov test on each group to determine if the data are normally distributed. For males, the resulting p-value is p=0.043. For females, the resulting p-value is p=0.136. You conclude that you cannot treat the data as normally distributed for further testing. Is this a correct decision?

Yes

No

Question 2

You wish to determine if a sample of heights of 30 individuals follows a normal distribution. You perform a Shapiro-Wilk test and find a p-value of p=0.054. You should:

Reject the null hypothesis that the data are normally distributed

Fail to reject the null hypothesis that the data are normally distributed

Reject the null hypothesis that the data are not normally distributed

Fail to reject the null hypothesis that the data are not normally distributed

Question 3

In a standardized test, you score at the 25th percentile. That is, you score higher than 25% of other test takers, and 75% of test takers score higher than you. Assuming test scores are normally distributed, you scored:

Between the mean and the first standard deviation above the mean

Between the mean and the first standard deviation below the mean

Between the first and second standard deviations above the mean

Between the first and second standard deviations below the mean