c) A pharmaceutical company conducts an experiment to test the effect of a new cholesterol medication. The company selects 15 subjects randomly from a larger population. Each subject is randomly assigned to one of three treatment groups. Within each treatment group, subjects receive a different dose of the new medication. In Group 1, subjects receive 0 mg/day; in Group 2, 50 mg/day; and in Group 3, 100 mg/day. At a=0.05 does dosage level have a significant effect on cholesterol level? Group 1 (0 mg): 210, 240, 270, 270,300 Group 2 (50mg): 210, 240, 240, 270,270 Group 3 (100mg): 180, 210, 210, 210,240
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- In a study conducted in Italy, 10 patients with hypertriglyceridemia were placed on a low-fat, high-carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject. Patient Cholesterol Level (mmol/l) Triglyceride level (mmol/l) 1 5.12 2.30 2 6.18 2.54 3 6.77 2.95 4 6.65 3.77 5 6.36 4.18 6 5.90 5.31 7 5.48 5.53 8 6.02 8.83 9 10.34 9.48 10 8.51 14.20A. Use STATA to Calculate the Spearman rank correlation coefficient, rs, for these data. B. Using rs, test the null hypothesis that the population correlation, ρ, equals 0.In a study conducted in Italy, 10 patients with hypertriglyceridemia were placed on a low-fat, high-carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject. Patient Cholesterol Level (mmol/l) Triglyceride level (mmol/l) 1 5.12 2.30 2 6.18 2.54 3 6.77 2.95 4 6.65 3.77 5 6.36 4.18 6 5.90 5.31 7 5.48 5.53 8 6.02 8.83 9 10.34 9.48 10 8.51 14.20 a. Construct a two-way scatter plot for these data. b. Use STATA to calculate Pearson’s Correlation Coefficient for these data. c. Test, α = 0.05, whether or not the population correlation, ρ, equals 0.A pharmaceutical company conducts an experiment to test the effect of a new cholesterol medication. The company selects 15 subjects randomly from a larger population. Each subject is randomly assigned to one of three treatment groups. Within each treatment group, subjects receive a different dose of the new medication. In Group 1, subjects receive 0 mg/day; in Group 2, 50 mg/day; and in Group 3, 100 mg/day. After 30 days, doctors measure the cholesterol level of each subject. The results for all 15 subjects appear in the table below: Dosage Group 1 Group 2 Group 3 O mg 50 mg 100 mg 210 210 180 240 240 210 270 250 220 270 270 210 300 270 240 (a) Perform an appropriate test to test whether there are differences among the mean cholesterol level by three different doses of the new medication at 5% level of significance. (b) Compute the p-value and indicate whether it leads to the same conclusion.
- Fifteen adult males between the ages of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol levels. The total cholesterol was measured in each subject initially and then three months after participating in an aerobic exercise program and switching to a low-fat diet. The data are shown in the following table.Sulfite is a drug used to treat asthma. In a sample of 400 patients treated at ridge hospital with sulfite, 26% of them said they were quickly relieved. Use this information to answer the following questions: I. What is the variable in the study? ii. What is the population? iii. What is the sample size?A county environmental agency suspects that the fish in a particular polluted lake have elevated mercury levels. To confirm that suspicion, five striped basses in that lake were caught and their tissues were tested for mercury. For the purpose of comparison, four striped basses in an unpolluted lake were also caught and tested. The fish tissue mercury levels in mg/kg are given below. Sample I(From Polluted Lake) 0.523 0.723 0.523 0.623 0.523 Sample II(From Unpolluted Lake) 0.323 0.223 0.523 0.323 0.000 (a) Construct the 95% confidence interval for the difference in the population means based on these data. (b) Test, at the 5% level of significance, whether the data provide sufficient evidence to conclude that fish in the polluted lake have elevated levels of mercury in their tissue.
- The impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse Group E 900 907 751 833 920 787 830 877 848 901 Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033 State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %In two wards for elderly women in a geriatric hospital the following levels of haemoglobin were found: Ward A: 12.2, 11.1, 14.0, 11.3, 12.5, 12.7, 13.4, 13.7 g/dl; Ward B: 11.9, 10.7, 12.3, 13.9, 11.4, 12.0, 11.1 g/dl. What is the 95% confidence interval for the difference in treatments? (Table value = 2.16)
- Suppose we have a sample of ten values of hemoglobin Alc (HgbAlc) obtained from a single diabetic patient. HgbAlc is a serum measure often used to monitor compliance among diabetic patients. The values are 8.5%, 9.3%, 7.9%, 9.2%, 8.8%, 9.1%, 9.3%, 9.9%, 9.7%, and 10.3%. (a) Estimate the population mean, u. (b) Solve for the standard error of the mean. You can use the MS Excel(WPS sheets or Google Sheets) for the computation of sample standard deviation. (c) Construct the confidence interval at two standard error away from the mean.A survey was conducted to determine the impact of contamination on property values. Home owners were randomly selected from each of seven states-A, B, C, D, E, F, and G. Each homeowner was asked to estimate the property value of a home located in an area contaminated by a certain substance. The dependent variable of interest was the substance discount percentage (the difference between the current home value and the estimated value after contamination, as a percentage). The researchers were interested in comparing the mean substance discount percentages across the seven states. Complete parts a and b. ... O D. Ho: H1 H2 # H3 # H4 # H5 # H6 # H7 Ha: At least two treatment means are equal b. An ANOVA summary table is shown to the right. Use the information provided to conduct the hypothesis test, part a. Use oa= 0.05. Source df MS F-value p-value States 6 0.1236 0.0206 1.65 0.150 Error 59 0.7372 0.0125 Total 65 0.8608 What is the rejection region? Select the correct choice below and fill…The glycemic index (GI) is a rating system for foods containing carbohydrates. It shows how quickly each food affects your blood sugar (glucose) level when that food is eaten on its own. A random sample of 33 children were provided with a breakfast of low GI foods on one day and high GI foods on another. The two breakfasts contained the same quantities of carbohydrate, fat and protein. On each day a buffet lunch was provided, and the number of calories eaten at lunchtime were recorded. On the first day the children ate a low GI breakfast and on the second day a high GI breakfast. Let be the true mean of the differences in calorie intake for a high GI and a low GI breakfast, respectively. The researcher wants to conduct inference on to determine whether the kind of breakfast eaten has an effect on mean calorie intake. The differences are calculated as calorie intake after high-GI breakfast minus calorie intake after low-GI breakfast. The sample mean of the differences of 63.543…