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 af 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 to blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) 3 5 255 251 6 260 255 200 230 235 235 220 216 192 225 239 231 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 Ha =H, -P,. Choose the correct answer below. O A. Ho: Hg s0 HA: Hg >0 OC. Ho: Ha =0 HA: Hg #0 O B. Ho: Hg 20 HA: H <0 OD. Ho: Ha #0 HA: Ho =0 Calculate the standardized test statistic. t=0 (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) State the conclusion. Ho. There V sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.
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 af 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 to blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) 3 5 255 251 6 260 255 200 230 235 235 220 216 192 225 239 231 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 Ha =H, -P,. Choose the correct answer below. O A. Ho: Hg s0 HA: Hg >0 OC. Ho: Ha =0 HA: Hg #0 O B. Ho: Hg 20 HA: H <0 OD. Ho: Ha #0 HA: Ho =0 Calculate the standardized test statistic. t=0 (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) State the conclusion. Ho. There V sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.
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Author:Amos Gilat
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Question
![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)
1
2
4
6
7
200
230
235
235
255
260
220
192
225
239
231
251
255
216
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.
O A. Ho: Hd s0
HA: Ha >0
В. Но: На 20
HA: Hd <O
O C. Ho: Hd = 0
HA: Ha #0
O D. Ho: Ha #0
HA: Ha = 0
%3D
Calculate the standardized test statistic.
t=D
(Round to three decimal places as needed.)
Calculate the P-value.
P-value =
(Round to four decimal places as needed.)
State the conclusion.
Ho. There
sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe14fc7e-c7f7-4f40-88d7-9aaf69dc35a7%2F7933e7af-3c10-436c-97bf-b5dc9c5cae03%2F4bktvdr_processed.png&w=3840&q=75)
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 a = 0.05, can you conclude that the new cereal lowers total
blood cholesterol levels?
Patient
Total Blood Cholesterol (Before)
Total Blood Cholesterol (After)
1
2
4
6
7
200
230
235
235
255
260
220
192
225
239
231
251
255
216
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.
O A. Ho: Hd s0
HA: Ha >0
В. Но: На 20
HA: Hd <O
O C. Ho: Hd = 0
HA: Ha #0
O D. Ho: Ha #0
HA: Ha = 0
%3D
Calculate the standardized test statistic.
t=D
(Round to three decimal places as needed.)
Calculate the P-value.
P-value =
(Round to four decimal places as needed.)
State the conclusion.
Ho. There
sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.
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