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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Hypothesis Testing- 2 samples
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 |
---|---|
140 | 140 |
220 | 240 |
110 | 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
Part 1) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)
Part 2) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
z or t= _______
Part 3) What is the p-value? (Round your answer to four decimal places.)
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