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In: Statistics and Probability

Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data...

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.

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.)

Starting cholesterol level/Ending cholesterol level

140/140

220/240

100/130

240/220  

200/190

180/150

190/200

360/300

280/300

250/240

A) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)

B) 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.)

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

D) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

E) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =

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