Question

Part 2: Analyzing Study Time per Week

You spoke with your instructor and she claimed that the average number of hours that you should study has to be more than 5 hours per week which will help you achieve an above average grade on any subject. She also suggested as a practice that you can test her claim and let her know what your conclusion is. So you decided to contact your peers and gather information to conduct a hypothesis to test your instructors claim.

Questions:

1. Contact at least 15 peers (they don’t have to be from the same class) and obtain how much time they study each week.
   • Jorielyn - 8hours per week
   • Honey Bell - 4 hours per week
   • Shanaia - 4
   • Adona- 10
   • Christian- 6
   • Vincent- 3
   • Jam- 6
   • Joie- 3
   • Christine-4
   • Joseph- 3
   • Paolo- 5
   • Joriz-9
   • Leomer- 6
   • Angel- 5
   • Danika- 3

2. If you are to conduct a hypothesis test using the data you gathered,
   • Which test (t test or z test) do you think be appropriate and why?
     (Hint: think about whether you have the population or sample standard deviation available)

• Is this a test on population proportion or mean?

• Calculate the sample statistics (sample mean or sample proportion based on the information given) (1 mark)

• Use the data set you gathered to conduct a hypothesis test to determine your instructor’s claim. Use 0.05 level of significance. Please show your work, the 5 steps as described in the textbook.

3. Construct a 95% confidence interval for the population mean number of hours. Show your work.

Answer 1

Solution: Here the concept of t-test is used.