group of six individuals with high cholesterol levels were given a new diet designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after the implementation of the diet for each individual, with the following results: Before After 227 160 234 174 257 178 269 170 218 178 248 178 A dietician claims that the mean reduction in cholesterol level is 51 milligrams per deciliter. Find the 98% confidence interval for the mean reduction in cholesterol level. Interpret the results. Does the 98% confidence interval contradict this claim?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A group of six individuals with high cholesterol levels were given a new diet designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after the implementation of the diet for each individual, with the following results:

Before After
227 160
234 174
257 178
269 170
218 178
248 178


A dietician claims that the mean reduction in cholesterol level is 51 milligrams per deciliter. Find the 98% confidence interval for the mean reduction in cholesterol level. Interpret the results. Does the 98% confidence interval contradict this claim?

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