Question

Please answer in the format that I provided to make everything easy to follow and understand. I have no problem leaving a thumbs up so please show all work and formulas used.

A random sample of 24 StatCrunchU students contains 12 females and 12 males. We analyze responses to the question, "What is the total amount (in thousands of dollars) of your student loans to date?" We want to check if females owe more in student loans than males. Use a 5% level of significance.

Females	0	4.5	10.5	4.5	3.2	6.9	14.1	0	9.9	2.2	5.5	10.1
Males	9.1	0	2.1	0.7	3.2	5.2	2.6	0	11.1	4.7	0	4.5

a. Are these separate or paired data? Explain.

b. Based on your answer to part (a), what parameter(s) will you test?

c. What is the null hypothesis?

d. What is the alternative hypothesis? (Use Females - Males)

e. What is the T-score for this sample? Round to 3 places.

f. What is the P-value? Round to 3 places.

g. Which conclusions are valid? Choose all that apply.

i. We reject the null hypothesis and accept the alternative.

ii. We fail to reject the null hypothesis.

iii. Female students at StatCrunchU owe more in student loans on average compared to male students.

iv. Male students at StatCrunchU owe more in student loans on average compared to female students.

v. At StatCrunchU, there are no significant gender differences in mean amount of student loans.

Answer 1