A food manufacturer claims that eating its new cereal as part of a dally diet lOwers tulal DIUUU Chulesteloi leveIS. Tme labie silows uie lulal DIOUU ChulesteloI Ieveis ( 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) 4 210 225 225 250 240 260 225 207 220 230 245 235 257 220 ...... 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 20 O B. Ho: Hd = 0 HA: Ha <0 HA: Ha #0 O D. Ho: Hd#0 OC. Ho: Ha s0 HA: Ha >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. VHọ. There sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels. Fail to reject Reject

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
14 solve all parts please
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)
4
6
7
210
225
225
250
240
260
225
207
220
230
245
235
257
220
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 ua =H1 -H2. Choose the correct answer below.
OA. Ho: Ha20
HA: Ha <0
O B. Ho: Hd = 0
HA: Ha #0
O D. Ho: Hd #0
OC. Ho: Ha s0
HA: Ha >0
HA: H =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.
Ho. There
sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.
Fail to reject
Reject
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) 4 6 7 210 225 225 250 240 260 225 207 220 230 245 235 257 220 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 ua =H1 -H2. Choose the correct answer below. OA. Ho: Ha20 HA: Ha <0 O B. Ho: Hd = 0 HA: Ha #0 O D. Ho: Hd #0 OC. Ho: Ha s0 HA: Ha >0 HA: H =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. Ho. There sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels. Fail to reject Reject
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)
4
210
225
225
250
240
260
225
207
220
230
245
235
257
220
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 =H1 - H2. Choose the correct answer below.
O B. Ho: Hd = 0
HA: Ha #0
O A. Ho: Ha 20
HA Ha <0
OC. Ho: Ha S0
HA Ha>0
O D. Ho: Hd #0
HA: Hd =0
Calculate the standardized test statistic.
t3=
(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.
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) 4 210 225 225 250 240 260 225 207 220 230 245 235 257 220 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 =H1 - H2. Choose the correct answer below. O B. Ho: Hd = 0 HA: Ha #0 O A. Ho: Ha 20 HA Ha <0 OC. Ho: Ha S0 HA Ha>0 O D. Ho: Hd #0 HA: Hd =0 Calculate the standardized test statistic. t3= (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.
Expert Solution
steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,