Answer the following: Pork is the most preferred meat by a lot of meat consumers. Studies have shown that dietshigh in pork protein have favorable effects on a person's body composition. However, it isunclear whether these effects are specific to pork or whether consumption of other high proteinmeat diets have the same benefit.To investigate this, the nutritionist of a private diet center chose a random sample ofoverweight clients to participate in a 3-month program where each person is required to followa restricted high-protein diet program with only one type of meat (chicken, fish, or pork). Beforeand after the program, the triglyceride level and weight of each client were recorded. Supposethe nutritionist asks your statistical advice for this study.1. The nutritionist wants to study whether the mean change in triglyceride level of the clients differs amongthe three meat diets. She then asked your statistical advice considering that you have enough knowledgethat using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer herobjective. Using R Commander, the following results for the test of the assumptions were generated.R COMMANDER OUTPUTmeat = chickenmeat = fishmeat = pork38. 320032043-- ---11-1-11norm quantilesnorm quantilesnorm quantilestriglyceride10 20 30 40 50triglyceride10 20 30 40 50triglyceride10 2040 50 R COMMANDER OUTPUTR COMMANDER OUTPUTmeat = chicken32 o38 oShapiro-Wilk normality testdata: triglycerideW = 0.90761, p-value = 0.1245%3D%3DmeatfishShapiro-Wilk normality testdata: triglycerideW = 0.87041, p-value = 0.03421----meat = porkShapiro-Wilk normality testdata: triglycerideW = 0.93761, p-valuechickenfishpork0.3533%3DmeatR COMMANDER OUTPUTLevene's Test for Homogeneity of Variance (center = "mean")Df F value Pr(>F)2 0.7724 0.4683group42Discuss and interpret the results obtained in testing the assumptions of the F-test.b. Which between a parametric test or a non-parametric test would you recommend?triglycerideOS

a. Null Hypothesis: H0: The variance is Homogeneous. Alternative Hypothesis: H1: The variance is not…

Answered: The nutritionist wants to study whether…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A consumer advocacy group wanted to study whether different airline carriers differed in terms of their delayed flights. In particular, the researchers were interested in the relationship between p1, the proportion of Alpha Airlines flights that were delayed at least 15 minutes, and p2, the proportion of Beta Airlines flights that were delayed at least 15 minutes. A random sample of 1,000 Alpha flights and a separate random sample of 1,000 Beta flights found that 67 of the Alpha fights and 160 of the Beta flights were delayed at least 15 minutes. The conditions for inference were checked and verified. Does this set of samples provide strong evidence that Alpha Airlines has a smaller proportion of flights that are delayed at least 15 minutes than Beta Airlines, at the α = 0.05 significance level? Find the z-table here. A. The test statistic is z = –6.56 and the P-value ≈ 0. Since the P-value ≈ 0 < 0.05, there is not sufficient evidence that Alpha Airlines has fewer delayed…
Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…
Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…
A randomized study was performed to determine whether a diet of processed meats causes a higher proportion of incidents of breast cancer. Researchers compared high intake versus low intake diets of processed meats for women with breast cancer and found the following results shown in the two-way table below: Breast Cancer No Breast Cancer Total High Intake processed meat 93 157 250 Low Intake processed meat 67 163 230 Conduct a hypothesis test for this problem, using for the proportion with diet high in processed meat who got breast cancer and for the proportion of women with diet low in processed meat who got breast cancer. PLEASE HELP WITH THE FOLLOWING - Find the p-value. Write generic conclusion. Write conclusion in context.
Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1350 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 18 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1375 Gy , with a sample standard deviation of 75 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1350 Gy .
. A randomized study was performed to determine whether a diet of processed meats causes a higher proportion of incidents of breast cancer. Researchers compared high intake versus low intake diets of processed meats for women with breast cancer and found the following results shown in the two-way table below: Breast Cancer No Breast Cancer Total High Intake processed meat 93 157 250 Low Intake processed meat 67 163 230 Conduct a hypothesis test for this problem, using for the proportion with a diet high in processed meat who got breast cancer and for the proportion of women with a diet low in processed meat who got breast cancer State the hypotheses. State sample statistic. Find the p-value. Write a generic conclusion. Write a conclusion in context. If we compute a randomization statistic and assume the null hypothesis is true, what does that mean in the context of this problem? Where would the…
A randomized study was performed to determine whether a diet of processed meats causes a higher proportion of incidents of breast cancer. Researchers compared high intake versus low intake diets of processed meats for women with breast cancer and found the following results shown in the two-way table below: Breast Cancer No Breast Cancer Total High Intake processed meat 93 157 250 Low Intake processed meat 67 163 230 Conduct a hypothesis test for this problem, using for the proportion with a diet high in processed meat who got breast cancer and for the proportion of women with a diet low in processed meat who got breast cancer State the hypotheses. The test is to check the compare the proportion with a diet high in processed meat who got breast cancer and for the proportion of women with a diet low in processed meat who got breast cancer State sample statistic. Answered Find the p-value.Answered Write a generic conclusion.…
Two years ago the manager of a local supermarket that sells three national brands (brands A, B, and C) and one store brand (brand D) of orange juice found that brands A and C were equally preferred, 33% preferred brand B, and 27% preferred the store brand, D. Now, the manager thinks that there has been a change in customer preferences and that the preference for store-brand orange juice has increased and perhaps will positively contribute to increased profits. The results from a recent random sample of shoppers indicate the following preferences.Favorite brand A B C D (store brand)Number 56 70 28 126Has there been a change in customer preferences from the study 2 years ago?
In a study9 on the effects of AZT in slowing the development of AIDS symptoms, 338 veterans whose immune systems were beginning to falter after infection with the AIDS virus were randomly assigned either to receive AZT immediately or to wait until their T cells showed severe immune weakness. Output follows of modeling the 2 × 2 × 2 cross-classification of race, whether AZT was given immediately, and whether AIDS symptoms developed during the three-year study. What null hypothesis is tested by the difference between the null deviance and the residual deviance? Interpret. Explain how to set up indicator variables for azt and race to obtain the estimates shown.
A double-blind randomized experiment compared the effects of the drug Lorcaserin and a placebo on weight loss in overweight adults. All subjects were also required to undergo diet and exercise counseling. The study involved 1000 participants where half of them would take Lorcaserin and half the placebo. The researchers found that after a year the treatment group had an average weight loss of 5.8 kg while the placebo group had an average weight loss of 3.9 carmona, kg. Based on this information researchers need to decide if Locarserin can be a possible treatment for weight loss. a. What would be a Type I error in this context? Your answer should consist of both the researchers’ decision and what the reality is. b. What would be a Type II error in this context? Your answer should consist of both the researchers’ decision and what the reality is.
A 1980 study investigated the relationship between the use of OCs and the development of endometrial cancer. The researchers found that of 117 endometrial-cancer patients, 6 had used the OC Oracon at some time in their lives, whereas 8 of the 395 controls had used this agent. Test for an association between the use of Oracon and the incidence of endometrial cancer, using a two-tailed test.
Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is statistically significantly decreased, what can you conclude concerning the null hypothesis? A) reject the null hypothesis Or B) fail to reject the null hypothesis

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