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?

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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 α = 0.05, can you conclude that the new cereal
lowers total blood cholesterol levels?
Patient
1
2
3
4
5
6
7
Total Blood Cholesterol (Before)
205
220
240
235
250
270
230
Total Blood Cholesterol (After)
196
217
242
232
245
267
225
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 #0
HA: Hd=0
B. Ho: Hd ≤0
HA: Md>0
C. Ho: Hd = 0
HA: Md #0
D. Ho: Hd 20
HA: Hd
<0
Calculate the standardized test statistic.
t=
(Round to three decimal places as needed.)
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 1 2 3 4 5 6 7 Total Blood Cholesterol (Before) 205 220 240 235 250 270 230 Total Blood Cholesterol (After) 196 217 242 232 245 267 225 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 #0 HA: Hd=0 B. Ho: Hd ≤0 HA: Md>0 C. Ho: Hd = 0 HA: Md #0 D. Ho: Hd 20 HA: Hd <0 Calculate the standardized test statistic. t= (Round to three decimal places as needed.)
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