chemical messengers and plays a major on of adipose tissue - Adipose tissue is mostly composed of fat it cells and the largest endocrine orga in the body. The tissue releases a host of chemical messen and cold. Anorexia nervosa is a psychiatric disorder characterized by an intense fear of weight gain and becoming fat. Patients suffering from anorexia typically become severely underweight and in extreme cases need in-patient hospitalization to recover and regain a healthy body weight. A recent study investigated the distribution of adipose tissue in 26 women who had recently undergone treatment for anorexia and achieved a normal body weight, approximately equal to a BMI of 19.5. Using full-body MRI scans, researchers measured the subcutaneous adipose tissue (SAT) in kilograms of each woman. SAT is fat tissue found under the skin. Researchers also scanned 14 healthy women of comparable age with no history of anorexia and measured their SAT. Summary values for each group, consistent with the study results, are shown in the table below. OD. Chi-square test of independence OE. One sample z-test for a population proportion 2. Which set of hypotheses expresses the research question using appropriate notation? OA Ho: MyH₂ Vs. H₁ H1 #₂ = 3. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. Group Population 1: Weight-restored women Population 2: Healthy women Health researchers want to determine if there is a difference in the mean of subcutaneous adipose tissue in the bodies between the two population groups of weight-restored and healthy women. Round all calculated values in this problem to 4 decimal places. 1. Which type of inference procedure should be used? OA Chi-square goodness of fit test OB. Two sample t-test for the difference in independent means OC. One sample t-test for a population mean A. Observations within each sample must be independent. OB. There must be at least 3 levels of the categorical variable. C. The two sample groups must be independent of each other. D. The data distribution for SAT for each population group must be normally distributed or each sample size must be larger than 30. E. There should be at least 10 expected successes and 10 expected failures in each sample group. 4. Assume the conditions have been met and calculate the appropriate test statistic. ? 5. Calculate the p-value using 23.774195 degrees of freedom. p-value= Mean SAT in kg SD of SAT in kg 11.48 2.06 12.22 2.36 Group Population 1: Weight-restored women Population 2: Healthy women Researchers also measured the visceral adipose tissue (VAT) in kilograms of each woman in the study. VAT is fat tissue packed around internal organs. Summary values for each group, consistent with the study results, are shown in the table below. Mean VAT in kg SD of VAT in kg Sample size 0.8 0.25 26 0.5 0.24 14 the storage and release of energy. It also acts as a cushion and insulates the body from Health researchers want to estimate the difference in mean visceral adipose tissue (VAT) between the two population groups of weight-restored and healthy women. 6. Use the data to construct a 99% confidence interval for the true difference, 1-₂ using 27.709927 degrees of freedom. ( heat
chemical messengers and plays a major on of adipose tissue - Adipose tissue is mostly composed of fat it cells and the largest endocrine orga in the body. The tissue releases a host of chemical messen and cold. Anorexia nervosa is a psychiatric disorder characterized by an intense fear of weight gain and becoming fat. Patients suffering from anorexia typically become severely underweight and in extreme cases need in-patient hospitalization to recover and regain a healthy body weight. A recent study investigated the distribution of adipose tissue in 26 women who had recently undergone treatment for anorexia and achieved a normal body weight, approximately equal to a BMI of 19.5. Using full-body MRI scans, researchers measured the subcutaneous adipose tissue (SAT) in kilograms of each woman. SAT is fat tissue found under the skin. Researchers also scanned 14 healthy women of comparable age with no history of anorexia and measured their SAT. Summary values for each group, consistent with the study results, are shown in the table below. OD. Chi-square test of independence OE. One sample z-test for a population proportion 2. Which set of hypotheses expresses the research question using appropriate notation? OA Ho: MyH₂ Vs. H₁ H1 #₂ = 3. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. Group Population 1: Weight-restored women Population 2: Healthy women Health researchers want to determine if there is a difference in the mean of subcutaneous adipose tissue in the bodies between the two population groups of weight-restored and healthy women. Round all calculated values in this problem to 4 decimal places. 1. Which type of inference procedure should be used? OA Chi-square goodness of fit test OB. Two sample t-test for the difference in independent means OC. One sample t-test for a population mean A. Observations within each sample must be independent. OB. There must be at least 3 levels of the categorical variable. C. The two sample groups must be independent of each other. D. The data distribution for SAT for each population group must be normally distributed or each sample size must be larger than 30. E. There should be at least 10 expected successes and 10 expected failures in each sample group. 4. Assume the conditions have been met and calculate the appropriate test statistic. ? 5. Calculate the p-value using 23.774195 degrees of freedom. p-value= Mean SAT in kg SD of SAT in kg 11.48 2.06 12.22 2.36 Group Population 1: Weight-restored women Population 2: Healthy women Researchers also measured the visceral adipose tissue (VAT) in kilograms of each woman in the study. VAT is fat tissue packed around internal organs. Summary values for each group, consistent with the study results, are shown in the table below. Mean VAT in kg SD of VAT in kg Sample size 0.8 0.25 26 0.5 0.24 14 the storage and release of energy. It also acts as a cushion and insulates the body from Health researchers want to estimate the difference in mean visceral adipose tissue (VAT) between the two population groups of weight-restored and healthy women. 6. Use the data to construct a 99% confidence interval for the true difference, 1-₂ using 27.709927 degrees of freedom. ( heat
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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
Transcribed Image Text:Distribution of adipose tissue ~ Adipose tissue is mostly composed of fat cells and is the largest endocrine organ in the body. The tissue releases a host of chemical messengers and plays a major role in the storage and release of energy. It also acts as a cushion and insulates the body from heat
and cold.
Anorexia nervosa is a psychiatric disorder characterized by an intense fear of weight gain and becoming fat. Patients suffering from anorexia typically become severely underweight and in extreme cases need in-patient hospitalization to recover and regain a healthy body weight.
A recent study investigated the distribution of adipose tissue in 26 women who had recently undergone treatment for anorexia and achieved a normal body weight, approximately equal to a BMI of 19.5. Using full-body MRI scans, researchers measured the subcutaneous adipose tissue (SAT) in
kilograms of each woman. SAT is fat tissue found under the skin.
Researchers also scanned 14 healthy women of comparable age with no history of anorexia and measured their SAT. Summary values for each group, consistent with the study results, are shown in the table below.
Group
Population 1: Weight-restored women
Population 2: Healthy women
Health researchers want to determine if there is a difference in the mean of subcutaneous adipose tissue in the bodies between the two population groups of weight-restored and healthy women.
Round all calculated values in this problem to 4 decimal places.
1. Which type of inference procedure should be used?
OA. Chi-square goodness of fit test
OB. Two sample t-test for the difference in independent means
OC. One sample t-test for a population mean
OD. Chi-square test of independence
OE. One sample z-test for a population proportion
2. Which set of hypotheses expresses the research question using appropriate notation?
OA. Ho: M1 M₂ VS. HA: M1 <H₂
OB. Ho: M1
M₂ VS. HA: M₁ M₂
OC. Ho: M1 = 11.48 vs. HA: M₂ = 12.22
OD. Ho: M1 M2 VS. HA: M1 M₂
3. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply.
A. Observations within each sample must be independent.
B. There must be at least 3 levels of the categorical variable.
C. The two sample groups must be independent of each other.
D. The data distribution for SAT for each population group must be normally distributed or each sample size must be larger than 30.
E. There should be t least 10 expected successes and 10 expected failures in each sample group.
4. Assume the conditions have been met and calculate the appropriate test statistic.
?
5. Calculate the p-value using 23.774195 degrees of freedom.
p-value=
Mean SAT in kg SD of SAT in kg
11.48
12.22
2.06
2.36
Researchers also measured the visceral adipose tissue (VAT) in kilograms of each woman in the study. VAT is fat tissue packed around internal organs. Summary values for each group, consistent with the study results, are shown in the table below.
Group
Population 1: Weight-restored women
Population 2: Healthy women
Mean VAT in kg
0.8
0.5
SD of VAT in kg Sample size
0.25
26
0.24
14
Health researchers want to estimate the difference in mean visceral adipose tissue (VAT) between the two population groups of weight-restored and healthy women.
6. Use the data to construct a 99% confidence interval for the true difference, μ₁ - ₂ using 27.709927 degrees of freedom.
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