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 nomally 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) 200 192 225 225 229 240 250 249 260 255 235 224 239 234 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 -H2. Choose the correct answer below. O A. Ho: Ha s0 O B. Ho: H =0 HA: Ha #0 HA: Ha >0 OC. Ho: Ha #0 HA: Ha =0 OD. Ho: Ha 20 Calculate the standardized test statistic. (Round to three decimal places as needed.) Calculate the P-value. P-value =D (Round to four decimal places as needed.) State the conclusion. V Ho. There V sufficient evidence o support the claim that the new cereal lowers total blood cholesterol levels.

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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 nomally 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)
200
192
225
225
240
250
249
260
255
235
224
229
239
234
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 altemative hypotheses, where Ha =H -H2. Choose the correct answer below.
O A. Ho: Ha s0
O B. Ho: Ha =0
HA: Ho #0
OC. Ho: Ha 0
HA: Ha =0
OD. Ho: H 20
HA: Ha <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.
V Ho. There
V sufficient evidence
o support the claim that the new cereal lowers total blood cholesterol levels.
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 nomally 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) 200 192 225 225 240 250 249 260 255 235 224 229 239 234 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 altemative hypotheses, where Ha =H -H2. Choose the correct answer below. O A. Ho: Ha s0 O B. Ho: Ha =0 HA: Ho #0 OC. Ho: Ha 0 HA: Ha =0 OD. Ho: H 20 HA: Ha <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. V Ho. There V sufficient evidence o support the claim that the new cereal lowers total blood cholesterol levels.
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