2. A Flemish student organisation claims that the average undergraduate student loan debt at university in the capital Brussels is near to 12,500€. From previous analyses it is known that standard deviation of the population of student loan debts is 1800€. The dean of the university doubts that the claim of the student organisation is correct. She th in reality the average undergraduate student loan debt at their institution is less than 12500€, decides to substantiate her suspicion via statistical hypothesis testing. As the level of significance for the test she chooses 5%. a. What will be the null hypothesis of the test? And what is the alternative hypothesis? The dean asks an assistant to send out an email questionnaire to a randomly chosen group of 31 undergraduate students. The received answers show an average debt of 11810€. b. Calculate the p-value for the sample. c. What will be the dean's conclusion? Why? d. Determine a 95% confidence interval for the average undergraduate student loan debt.

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2. A Flemish student organisation claims that the average undergraduate student loan debt at a certain
university in the capital Brussels is near to 12,500€. From previous analyses it is known that the
standard deviation of the population of student loan debts is 1800€.
The dean of the university doubts that the claim of the student organisation is correct. She thinks that
in reality the average undergraduate student loan debt at their institution is less than 12500€, and
decides to substantiate her suspicion via statistical hypothesis testing.
As the level of significance for the test she chooses 5%.
a. What will be the null hypothesis of the test? And what is the alternative hypothesis? The
dean asks an assistant to send out an email questionnaire to a randomly chosen group of 31
undergraduate students.
The received answers show an average debt of 11810€. b.
Calculate the p-value for the sample.
c. What will be the dean's conclusion? Why?
d. Determine a 95% confidence interval for the average undergraduate student loan debt.
Transcribed Image Text:2. A Flemish student organisation claims that the average undergraduate student loan debt at a certain university in the capital Brussels is near to 12,500€. From previous analyses it is known that the standard deviation of the population of student loan debts is 1800€. The dean of the university doubts that the claim of the student organisation is correct. She thinks that in reality the average undergraduate student loan debt at their institution is less than 12500€, and decides to substantiate her suspicion via statistical hypothesis testing. As the level of significance for the test she chooses 5%. a. What will be the null hypothesis of the test? And what is the alternative hypothesis? The dean asks an assistant to send out an email questionnaire to a randomly chosen group of 31 undergraduate students. The received answers show an average debt of 11810€. b. Calculate the p-value for the sample. c. What will be the dean's conclusion? Why? d. Determine a 95% confidence interval for the average undergraduate student loan debt.
Expert Solution
Given

xbar = 11810

mu = 12500

n = 31

sigma = 1800

 

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