t = What is the p -value? (Round your answer to four decimal places.) ____ Ten i

Question

t =

What is the p-value? (Round your answer to four decimal places.)

____

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 leveEnding cholesterol level 160 220 110 240 200 180 190 360 280 260 160 230 130 220 190 150 200 300 300 240 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.)

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Starting and Ending
H0 : D = 0
HA : D > 0
Hypothesis test results:

Hence,

t = 1

p - value = 0.1717

Difference Mean Std. Err. DF T-Stat P-value Starting - Ending 8 8 9 1 0.1717

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