A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Six randomly selected subjects were pretested, and then they took the mineral supplement for a 6-week period. The results are shown in the table. (Cholesterol level is measured in milligrams per deciliter.) Can it be concluded that the cholesterol level has been changed at α = 0.10? Assume the variable is approximately normally distributed. Subject 1 2 3 4 5 6 Before (x1) 210 235 208 190 172 244 After (x2) 190 170 210 188 173 288 Required Steps:  Step 1: Label all given information. Step 2:State the null and alternative hypothesis and identify the claim. Step 3:Verify that the conditions are met to perform the test. Step 4:Sketch the normal distribution and find the critical regions. Step 5:Compute the test statistic. Step 6:Make a decision Step 7:Summarize the results.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Six randomly selected subjects were pretested, and then they took the mineral supplement for a 6-week period. The results are shown in the table. (Cholesterol level is measured in milligrams per deciliter.) Can it be concluded that the cholesterol level has been changed at α = 0.10? Assume the variable is approximately normally distributed.

Subject 1 2 3 4 5 6
Before (x1) 210 235 208 190 172 244
After (x2) 190 170 210 188 173 288

Required Steps: 

Step 1: Label all given information.

Step 2:State the null and alternative hypothesis and identify the claim.

Step 3:Verify that the conditions are met to perform the test.

Step 4:Sketch the normal distribution and find the critical regions.

Step 5:Compute the test statistic.

Step 6:Make a decision

Step 7:Summarize the results.

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