A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At a= 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) OC. Ho: Hd = 0 HA: Hd *0 Calculate the standardized test statistic. (Round to three decimal places as needed.) Calculate the P-value. P-value= (Round to four decimal places as needed.) State the conclusion. 1 205 196 Ho. There 2 230 228 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. Identify the null and alternative hypotheses, where Hd H₁-H₂. Choose the correct answer below. OA. Ho Hd 20 HA: Hd <0 OB. Ho: H 50 HA: Hd>0 OD. Ho: Hd *0 HA: Hd=0 3 240 241 sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels. 4 240 237 5 240 236 6 260 255 7 225 224

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Question 8

 

A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and
after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At α = 0.05, can you conclude that the new cereal
lowers total blood cholesterol levels?
Patient
Total Blood Cholesterol (Before)
Total Blood Cholesterol (After)
OC. Ho: Hd=0
HA:Hd #0
Calculate the standardized test statistic.
t=
(Round to three decimal places as needed.)
Calculate the P-value.
P-value=
(Round to four decimal places as needed.)
State the conclusion.
1
205
196
Ho. There
2
230
228
Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. Identify the null and alternative hypotheses, where μμ₁ μ₂. Choose the correct answer below.
A.
Ho: Hd 20
HA:Hd <0
O B. Ho: Hd ≤0
HA:Hd>0
O D. Ho: Hd #0
HA: Hd=0
3
240
241
▼sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.
4
240
237
5
240
236
6
260
255
7
225
224
Transcribed Image Text:A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At α = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) OC. Ho: Hd=0 HA:Hd #0 Calculate the standardized test statistic. t= (Round to three decimal places as needed.) Calculate the P-value. P-value= (Round to four decimal places as needed.) State the conclusion. 1 205 196 Ho. There 2 230 228 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. Identify the null and alternative hypotheses, where μμ₁ μ₂. Choose the correct answer below. A. Ho: Hd 20 HA:Hd <0 O B. Ho: Hd ≤0 HA:Hd>0 O D. Ho: Hd #0 HA: Hd=0 3 240 241 ▼sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels. 4 240 237 5 240 236 6 260 255 7 225 224
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