9. [-/7 Points] DETAILS ILLOWSKYINTROSTAT1 10.4.115.HW. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level. Starting cholesterol level Ending cholesterol level 170 170 220 230 10 130 240 220 200 190 180 150 190 200 360 300 280 300 260 240 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. O Ho: Hd > 0 O Ho: Md # 0 O Ho: Hd 0 O Ha: Hd 2 0 O Ha: Hd a, we do not reject the null hypothesis. O Since p-value > a, we reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to show that the cholesterol levels were significantly lowered on the low-fat diet. There is not sufficient evidence to show that the cholesterol levels were significantly lowered on the low-fat diet. Part (i) Explain how you determined which distribution to use. The standard normal distribution will be used because the samples are independent and the population standard deviation is known. The t-distribution will be used because the samples are independent and the population standard deviation is not known. The standard normal distribution will be used because the samples involve the difference in proportions. O The t-distribution will be used because the samples are dependent. Submit