In a recent student survey, males and females were asked "At what age do you expect to retire?" Assume the students who responded to the survey represent an SRS of all undergraduate students. Do males and females plan to retire at the same age? A two-sample t-test was performed using MINITAB:

Descriptive Statistics:

Retire GenderNMeanStDevSE Mean

Female39163.268.060.41

Male23961.1411.990.78

Estimation for Difference:

Difference95% CI for Difference

2.12(0.396, 3.841)

Test:

Null hypothesis H0 : 1 2 = 0

Alternative Hypothesis H1 : 1 2 = 0

T-ValueDFP-Value

2.418370.210.016

Does the analysis provide sufficient evidence at the significance level = 0.05 to conclude that, on the average, females and males plan to retire at different ages? Why?

Question 6 options:

No, there is weak evidence that the retirement ages are different since the p-value is small.

Yes, there is evidence (p-value = 0.016) that, on average, females and males plan to retire at different ages.

No, since the p-value = 0.016 is less than = 0.05 we fail to reject H0 and conclude that females and males plan to retire about the same age.

Yes, there is both practical significance and statistical significance to suggest that all males will retire at an older age than females will.

Yes, there is strong evidence since the mean retirement ages for females and males are 63.26 and 61.14, respectively.

Question 7(1 point)

Which of these conclusions about the confidence interval are correct?

Question 7 options:

We are 95% confident that females plan to retire anywhere from 0.396 to 3.841 years later than males on the average.

95% of all random samples are between 0.396 and 3.841 years.

There is a 95% chance that the difference in means is between 0.396 and 3.841 years.

We are 95% sure that the difference between the planned retirement ages of all females and males is between 0.396 and 3.841 years.

We are 95% confident the difference in the sample planned retirement means is between 0.396 and 3.841.