weightluss weightloss a. Discuss and interpret the results obtained in testing the assumptions of the t-test. b. Which between a parametric test or a non-parametric test would you recommend?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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Answer the following:

2. The nutritionist also wants to determine if there is a difference in the average weight loss between male
and female clients. Men tend to lose weight faster due to their higher percentage of lean muscle tissue
and higher metabolic rate. To answer this, you recommended to use a parametric test t-test which
requires the data of each group be normally distributed. Using R Commander, the following results for the
test of the assumptions were generated.
R COMMANDER OUTPUT
sex - female
Shapiro-Wilk normality test
data: weightloss
W = 0.94514, p-value = 0.2748
---- ---
sex
- male
Shapiro-Wilk normality test
weightloss
data:
W - 0.97646, p-value - 0.8227
R COMMANDER OUTPUT
sex = female
sex = male
10
30
3.5
40
45
50
55
60
weightluss
weightloss
a. Discuss and interpret the results obtained in testing the assumptions of the t-test.
b. Which between a parametric test or a non-parametric test would you recommend?
kouenbey
Transcribed Image Text:2. The nutritionist also wants to determine if there is a difference in the average weight loss between male and female clients. Men tend to lose weight faster due to their higher percentage of lean muscle tissue and higher metabolic rate. To answer this, you recommended to use a parametric test t-test which requires the data of each group be normally distributed. Using R Commander, the following results for the test of the assumptions were generated. R COMMANDER OUTPUT sex - female Shapiro-Wilk normality test data: weightloss W = 0.94514, p-value = 0.2748 ---- --- sex - male Shapiro-Wilk normality test weightloss data: W - 0.97646, p-value - 0.8227 R COMMANDER OUTPUT sex = female sex = male 10 30 3.5 40 45 50 55 60 weightluss weightloss a. Discuss and interpret the results obtained in testing the assumptions of the t-test. b. Which between a parametric test or a non-parametric test would you recommend? kouenbey
Pork is the most preferred meat by a lot of meat consumers. Studies have shown that diets
high in pork protein have favorable effects on a person's body composition. However, it is
unclear whether these effects are specific to pork or whether consumption of other high protein
meat diets have the same benefit.
To investigate this, the nutritionist of a private diet center chose a random sample of
overweight clients to participate in a 3-month program where each person is required to follow
a restricted high-protein diet program with only one type of meat (chicken, fish, or pork). Before
and after the program, the triglyceride level and weight of each client were recorded. Suppose
the nutritionist asks your statistical advice for this study.
The nutritionist wants to study whether the mean change in triglyceride level of the clients differs among
the three meat diets. She then asked your statistical advice considering that you have enough knowledge
that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer her
objective. Using R Commander, the following results for the test of the assumptions were generated.
R COMMANDER OUTPUT
meat = chicken
meat = fish
meat = pork
320
380
043
014
-1
-1
-1
1
norm quantiles
norm quantiles
norm quantiles
R COMMANDER OUTPUT
R COMMANDER OUTPUT
meat = chicken
32 o
38 o
Shapiro-Wilk normality test
data:
triglyceride
40
W = 0.90761, p-value
= 0.1245
meat = fish
Shapiro-Wilk normality test
triglyceride
W = 0.87041, p-value
data:
= 0.03421
meat =
pork
Shapiro-Wilk normality test
data: triglyceride
w = 0.93761, p-value
chicken
fish
pork
= 0.3533
meat
R COMMANDER OUTPUT
Levene's Test for Homogeneity of Variance (center = "mean")
Df F value Pr(>F)
group 2 0.7724 0.4683
42
triglyceride
20 30 40 50
triglyceride
10 20 30 40 50
tiglycende
OL
OS
triglyceride
10 20 30 40 50
Transcribed Image Text:Pork is the most preferred meat by a lot of meat consumers. Studies have shown that diets high in pork protein have favorable effects on a person's body composition. However, it is unclear whether these effects are specific to pork or whether consumption of other high protein meat diets have the same benefit. To investigate this, the nutritionist of a private diet center chose a random sample of overweight clients to participate in a 3-month program where each person is required to follow a restricted high-protein diet program with only one type of meat (chicken, fish, or pork). Before and after the program, the triglyceride level and weight of each client were recorded. Suppose the nutritionist asks your statistical advice for this study. The nutritionist wants to study whether the mean change in triglyceride level of the clients differs among the three meat diets. She then asked your statistical advice considering that you have enough knowledge that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer her objective. Using R Commander, the following results for the test of the assumptions were generated. R COMMANDER OUTPUT meat = chicken meat = fish meat = pork 320 380 043 014 -1 -1 -1 1 norm quantiles norm quantiles norm quantiles R COMMANDER OUTPUT R COMMANDER OUTPUT meat = chicken 32 o 38 o Shapiro-Wilk normality test data: triglyceride 40 W = 0.90761, p-value = 0.1245 meat = fish Shapiro-Wilk normality test triglyceride W = 0.87041, p-value data: = 0.03421 meat = pork Shapiro-Wilk normality test data: triglyceride w = 0.93761, p-value chicken fish pork = 0.3533 meat R COMMANDER OUTPUT Levene's Test for Homogeneity of Variance (center = "mean") Df F value Pr(>F) group 2 0.7724 0.4683 42 triglyceride 20 30 40 50 triglyceride 10 20 30 40 50 tiglycende OL OS triglyceride 10 20 30 40 50
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