16. Calcium is an essential nutrient for strong bones and for controlling blood pressure and hear beat. Because most of the body's calcium is stored in bones and teeth, the body withdraw= the calcium it needs from the bones. Over time, if more calcium is taken out of the bones thar is put in, the result may be thin, weak bones. This is especially important for women who are often recommended a calcium supplement. A consumer group activist assumes that calcium content in two popular supplements are normally distributed with the same (assumed equal) unknown population variance, and uses the following information obtained under independent sampling: Supplement 1 Supplement 2 1,000 mg 22 = 1,016 mg S2 = 24 mg S= 23 mg -12 72-15 Let u and ph denote the corresponding population means, Construct a 95% confidence interval for the difference A-.

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16. Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart
beat. Because most of the body's calcium is stored in bones and teeth, the body withdraws
the calcium it needs from the bones. Over time, if more calcium is taken out of the bones than
is put in, the result may be thin, weak bones. This is especially important for women who are
often recommended a calcium supplement. A consumer group activist assumes that calcium
content in two popular supplements are normally distributed with the same (assumed equal)
unknown population variance, and uses the following information obtained under independent
sampling:
Supplement 1
Supplement 2
1.000 mg
1.016mg
I=
s= 23 mg
I2
Sy = 24 mg
-12
2-15
Let A and denote the corresponding population means, Construct a 95% confidence
interval for the difference ph - .
A. [-30.9386, 1.0614]
B. [-31.5886,-0.4114]
C. [-33.8007, 1.8007]
D. [-34.8012, 2.8012]
Transcribed Image Text:16. Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat. Because most of the body's calcium is stored in bones and teeth, the body withdraws the calcium it needs from the bones. Over time, if more calcium is taken out of the bones than is put in, the result may be thin, weak bones. This is especially important for women who are often recommended a calcium supplement. A consumer group activist assumes that calcium content in two popular supplements are normally distributed with the same (assumed equal) unknown population variance, and uses the following information obtained under independent sampling: Supplement 1 Supplement 2 1.000 mg 1.016mg I= s= 23 mg I2 Sy = 24 mg -12 2-15 Let A and denote the corresponding population means, Construct a 95% confidence interval for the difference ph - . A. [-30.9386, 1.0614] B. [-31.5886,-0.4114] C. [-33.8007, 1.8007] D. [-34.8012, 2.8012]
17. In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that
lenders give homeowners who fall behind on their mortgage an extra five months to become
current before beginning foredosure proceedings. Policymakers daimed that the policy would
result in a higher proportion of delinquent borrowers becoming current on their mortgages.
To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in
the time period surrounding the enactment of this law. Of the 100 who fell behind just before
the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after
the law was enacted, 48 were able to avoid foredosure, Let p, and pz represent the proportion
of delinquent borrowers who avoid foredosure just before and just after the right-to-cure law
is enacted, respectively, Which of the following is the correct competing hypotheses that will
test the policymakers' claim?
A. Ho: p.-P2 50, HA: p. -P2 > 0
B. Ho: p,- p, 2 0, HA: P1 -P2 < 0
C. H: p.- p, = 0, HA: P,- P2 0
D. Ho: p, - p2 > 0, HA: P1 - P2 50
0, HA: p1 - pz #0
%3D
Transcribed Image Text:17. In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foredosure proceedings. Policymakers daimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foredosure, Let p, and pz represent the proportion of delinquent borrowers who avoid foredosure just before and just after the right-to-cure law is enacted, respectively, Which of the following is the correct competing hypotheses that will test the policymakers' claim? A. Ho: p.-P2 50, HA: p. -P2 > 0 B. Ho: p,- p, 2 0, HA: P1 -P2 < 0 C. H: p.- p, = 0, HA: P,- P2 0 D. Ho: p, - p2 > 0, HA: P1 - P2 50 0, HA: p1 - pz #0 %3D
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