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. 205 200 2 3 4. 240 238 235 231 245 230 228 230 235 243 265 261 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 altenative hypotheses, where P2 Choose the correct answer below, OB. H 0 OA. Hg: Ha s0 Ha Hg >0 Ha 0 OC. H: H-0 OD. H, g20 HA H #0 Calculate the standardized test statistic. t- (Round to three decimal places as needed.) Click to select your answer(s).

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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 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)
3
4
6
265
261
205
245
240
238
235
231
230
230
235
200
228
243
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 P Choose
the correct answer below,
OB. Ho: Ha *0
HA -0
OD. H Ha 20
O A. Ho: Ha s0
HA Pa >0
OC. Ho: Ha -0
HA Ha #0
Calculate the standardized test statistic.
(Round to three decimal places as needed.)
(?
Click to select your answer(s).
224 PM
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) 3 4 6 265 261 205 245 240 238 235 231 230 230 235 200 228 243 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 P Choose the correct answer below, OB. Ho: Ha *0 HA -0 OD. H Ha 20 O A. Ho: Ha s0 HA Pa >0 OC. Ho: Ha -0 HA Ha #0 Calculate the standardized test statistic. (Round to three decimal places as needed.) (? Click to select your answer(s). 224 PM
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
3
4
245
243
205
240
238
230
265
230
235
235
231
200
228
261
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.
v H. There
V sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels
Click to select your answer(s).
224 PM
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 3 4 245 243 205 240 238 230 265 230 235 235 231 200 228 261 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. v H. There V sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels Click to select your answer(s). 224 PM
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