A pharmaceutical company conducts an experiment to test the effect of a newcholesterol medication. The company selects 15 subjects randomly from a largerpopulation. 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, 100mg/day.After 30 days, doctors measure the cholesterol level of each subject. The results for all15 subjects appear in the table below:DosageGroup 1Group 2Group 3O mg50 mg100 mg210210180240240210270250220270270210300270240(a) Perform an appropriate test to test whether there are differences among the meancholesterol level by three different doses of the new medication at 5% level ofsignificance.(b) Compute the p-value and indicate whether it leads to the same conclusion.

Given Data : Dosage Group 1 Group 2 Group 3 210 210 180 240 240 210 270 250…

Answered: A pharmaceutical company conducts an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study.Run the single-factor ANOVA for this data: LowModerate HighModerate ModeratelySevere Severe 3 2.7 3.4 4.6 2.1 1.6 3.6 3.5 2.4 2.4 2.8 3.1 1.8 2 3.1 2.5 2.2 2.2 3.4 3.4 0 2.3 4.7 3.1 Fill in the summary table for the ANOVA test: S.S. d.f. M.S. Between Within TOTAL From this table, obtain the necessary statistics for the ANOVA:F-ratio: p-value: η2= What is your final conclusion? Use a significance level of α=0.01. There is a significant…
Hyperhidrosis is a stressful medical condition characterized by chronic excessive sweating. Botox was approved for treatment of hyperhidrosis in adults in 2004. A clinical trial examined the effectiveness of Botox for excessive armpit sweating in teenagers aged 12 to 17 years. Participants received either a Botox injection or a placebo injection (a simple saline solution) and were examined four weeks later to see if their sweating had been reduced. Here are the study's findings: Botox Placebo Total Reduced Confidence Interval: 72 52 124 Not Reduced 28 We are 95% confident that there is hyperhidrosis who experienced a reduction in sweating. 148 176 Total 100 200 - Construct a 95% confidence interval for p₁ - P2 where p₁ denotes the proportion of teenagers who experienced a reduction in sweating in the Botox group and p2 denotes the proportion of teenagers who experienced a reduction in sweating in the placebo group. Round your answers to three decimal places, and use four decimal places…
A team of government researchers would like to determine whether a new tax on cigarettes has any effect on people’s smoking behavior. Specifically, they are expecting that by increasing the price of cigarettes, people’s will buy fewer packs of cigarettes (ultimately leading to decreases in cigarette smoking). During the year before the tax was imposed, stores located in rest areas on the state highways reported selling an average of µ = 410 packs per day. The distribution of daily sales was approximately normal. For a random sample of n = 25 days during the first year following the new tax, the researchers found an average of x̅= 380 packs per day for the same stores, with a standard deviation of s = 60. Is the sample mean sufficient to conclude that there was a significant decrease in cigarette purchases after the new tax? Use a one-tailed test with α = .01.
A randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. A prior survey of patients had found the mean score for the population of patients to be μ=2.9 After careful review of these data, the hospital nutritionist decided that patients could benefit from nutrition education. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for the 15 patients sampled: x¯=3.5 and s=1.2 We would like to know if the education improved nutrition behavior. We test the hypotheses H0:μ=2.9 versus Ha:μ>2.9. The tt test to be used has the test statistic: Answer:
Determine whether the study depicts an observational study or an experiment. A scientist was studying the effects of a new fertilizer on crop yield. She randomly assigned half of the plots on a farm to group one and the remaining plots to group two. On the plots in group one, the new fertilizer was used for a year. On the plots in group two, the old fertilizer was used. At the end of the year the average crop yield for the plots in group one was compared with the average crop yield for the plots in group two.
Part A. Depression affects many people. 25 out of 100 people with untreated depression will lose at least one friendship while not receiving treatment. On the other hand, when people with depression are treated with medication and counseling, only 2 out of 100 will lose at least one friendship during treatment. The absolute risk of losing at least one friendship while being treated with medication and counseling is Answer: 2 / 100 = 0.02 = 2%
A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below. No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20 Do these data indicate any significant differences among the three groups? Test with α=0.05. Compute the effect size and interpret the result.
Some commercial airlines recirculate about half the air in the cabin during flights as a way to improve fuel efficiency. Other airlines make a policy of NOT recirculating the air and instead, have fresh air from the atmosphere constantly being inserted into the cabin with the “old” air being pumped out of the plane. A total of 1100 passengers flying from San Francisco to Denver were used for an experiment. After their flight, they were each given a list of symptoms associated with the common cold. They were asked to report if they experienced cold symptoms within 24 hours of the flight landing. Of the 517 passengers who flew on planes that recirculate the air, 108 reported post-flight cold symptoms. Of the 583 passengers who flew on airlines that do not use recirculation in the cabin, 110 reported symptoms. Suppose now that we want to use the recirculation of air data to explore “Goal #2”, which is to resolve a hypothesis test about . a) If we want to resolve this hypothesis…
A study was developed to evaluate effectiveness of a weight loss diet plan. An ad was placed in two towns to locate study participants who were to follow the diet. In Town A, the clinicians asked each dieter to report how much weight they had lost over the previous 6 weeks while following the diet. In Town B, the clinicians weighed each dieter at the beginning of the study and again after 6 weeks on the diet program. The weight lost was calculated as the difference between the beginning weight and the weight after 6 weeks. At the end of the study, it was determined that Town B had lost significantly less weight than Town A. 1.What is the population of interest in this situation? 2. Identify source(s) of bias in this study.
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 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. %
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows. Occupied Rooms Total Rooms Ho: P₁ P₂ #0 Ha: P1 - P2 = 0 Current Year Previous Year Ho: P1 - P2 = 0 Ha: P₁ P₂ #0 Ho: P₁ Ha: P₁ (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p₁ rooms occupied for current year and = P2 population proportion of rooms occupied for previous year.) - Ho: P₁ Ha: P₁ P₂ 0 1,750 1,440 1,800 = population proportion of

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