A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight. A group of 30 overweight adult subjects have two different treatments. First, they are placed on a regular program of vigorous exercise, but with no restriction on diet. Then they are placedon a strict diet, but with no requirement to exercise. The weight losses after 20 weeks on each treatment are determined and the differences in weight loss between two treatments are computed for each individual. The mean of these differences in weight loss is found to be -1.95 lb withstandard deviation s = 4 Ib. Assume all conditions for inference are met for the questions below.Suppose you are interested in whether there is evidence of a significant difference in mean weight loss for the two methods. The significance level is chosen to be 5%.(I) Write the hypotheses to answer the question.(II) Compute the t-statistic (the test statistic here). Answer to two decimal places.(III) Compute the p-value. Use t-distribution. Answer to four decimal places.(IV) Explain what a Type I error means in the context of this problem.

Name: A medical researcher wishes to investigate the effectiveness of exerc
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight. A group of 30 overweight adult subjects have two different treatments. First, they are placed on a regular program of vigorous exercise, but with

Hi! Thanks for posting the question. Since there are more than three sub-part questions, we will…

Math

Statistics

A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight. A group of 30 overweight adult subjects have two different treatments. First, they are placed on a regular program of vigorous exercise, but with no restriction on diet. Then they are plac on a strict diet, but with no requirement to exercise. The weight losses after 20 weeks on each treatment are determined and the differences in weight loss between two treatments are computed for each individual. The mean of these differences in weight loss is found to be -1.95 Ib with standard deviation s-4 lb. Assume all conditions for inference are met for the questions below. Suppose you are interested in whether there is evidence of a significant difference in mean weight loss for the two methods. The significance level is chosen to be 5%. (1) Write the hypotheses answer the question. (II) Compute the t-statistic (the test statistic here). Answer to two decimal places. (III) Compute the p-value. Use t-distribution. Answer to four decimal places. (IV) Explain what a Type I error means in the context of this problem.

A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight. A group of 30 overweight adult subjects have two different treatments. First, they are placed on a regular program of vigorous exercise, but with no restriction on diet. Then they are plac on a strict diet, but with no requirement to exercise. The weight losses after 20 weeks on each treatment are determined and the differences in weight loss between two treatments are computed for each individual. The mean of these differences in weight loss is found to be -1.95 Ib with standard deviation s-4 lb. Assume all conditions for inference are met for the questions below. Suppose you are interested in whether there is evidence of a significant difference in mean weight loss for the two methods. The significance level is chosen to be 5%. (1) Write the hypotheses answer the question. (II) Compute the t-statistic (the test statistic here). Answer to two decimal places. (III) Compute the p-value. Use t-distribution. Answer to four decimal places. (IV) Explain what a Type I error means in the context of this problem.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Course/Year 1. Brian, a college administrator, claimed that there was no difference in averages of students coming from three nearby schools A, B, and C. Use the following data to test his claim with a 1% significance level. Ex A-420 2x² 253 Ex B 340 SANOVA Table: 4 Source of Variation Between - column Within - column Total A A. Ho: B. a: 0.01 C. B C 3 _M₁ = M₁₂₁ = M²3 Sum of Squares 2.25 Compute for sum of squares D. Compute for degrees of freedom 84 88 88 E. Compute for mean sum of squares F. Compute for F-value 82 83 80 df 2 Ha: STUDENTS 89 82 89 Mean Sum of Squares 85 83 80 F-value Mr & Mr & M²₂ n₁ = √=n²₁₂₁ = 3 - N = 12 7 Critical Value / Tabular Value Decision
A researcher believes that there may be a negative association between the quantity of fertilizer used and the percentage of the population who live in rural areas in different countries. The data below shows the percentage of the population who live in rural areas and the fertilizer use measured in kg per hectare, for a random sample of 11 countries. 33%= 76kg, 6%=44kg, 58%= 6kg, 35%=68kg, 81%=3kg, 69%=10kg, 61%=7kg, 7%=176kg,74%=5kg, 71%=137kg, 17%=157kg Use the Spearman's rank order coefficient method to affirm or disagree with the researchers assumption.
Twenty samples of students from the first year were taken for the study related to fitness level in a university. The researcher has collected the data for a few variables: gender and fitness test score. Fitness Camp No Gender Fitness score Fitness score (Before Attend camp) (After Attend camp) 1 M 444 526 2 F 780 862 3 F 475 557 4 F 490 572 5 M 755 837 6. M 766 848 7 F 540 622 8 M 623 705 9. F 600 682 10 620 702 11 505 590 12 M 640 725 13 F 523 608 14 F 700 785 15 M 710 795 16 M 726 811 17 M 740 825 18 F 550 635 19 F 685 770 20 F 460 545 Range of Fitness Score: 0 to 900 1. Determine whether this set of data is sample or population? Why? Which formulae to be used when calculating the standard deviation of fitness score before and after camp 2. Calculate the standard deviation for fitness score before and after students attended the fitness camp for the whole samples using the formula in (1) 3. Based on the sample standard deviation in part (2), explain whether the fitness camp can…
Part 1 of 4 A doctor in Oklahoma City wants to know whether the average life span for heart disease patients at four hospitals in the city differ. The data below represents the life span, in years, of heart disease patients from each hospital. Perform an ANOVA test with a 10% level of significance to test whether the average life span of heart disease patients in Oklahoma City differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 8.1, 1.2, 7, 11.5, 21, 2, 15.3, 19.2, 10.5, 15.4, 12.7, 15.3, 12.1, 7.5, 11.4, 16.4, 26.7, 14.6, 1.5, 16.3, 12.6, 0.8, 18.2, 4.2, 9.6, 21, 16.3, 2.7 Life Span of Patients Treated at Hospital 2: 17.6, 11.6, 16.8, 5.2, 6.7, 3.2, 13.8, 12.5, 0.9, 6, 14.3, 1.8, 14.8, 10, 5.8, 15.2, 10, 3.7, 11.4, 21.6, 12.9, 0.5, 9.2, 13.9, 10.9 Life Span of Patients Treated at Hospital 3: 8.5, 2.3, 11, 7.4, 14.8, 5.8, 11, 3.4, 10.9, 1.1, 5.9, 21.6, 12.5, 0.1, 15.5, 15.4, 0.8, 7.7, 5.6, 12, 7.1 Life Span of Patients Treated at Hospital 4:…
Genetic drugs are lower cost substitutes for brand-name drugs. Before a genetic drug can be sold in the United States, it must be tested found to perform equivalently to the brand-name product. The U.S. Food and Drug Administration is now supervising the testing of new genetic antifungal ointment. The Brand-name ointment is known to deliver a mean of 3.5 micrograms of active ingredient to each square centimeter of skin. As part of the testing, seven subjects apply the ointment. Six hours later, the amount of drugs that has been absorbed into the skin measured. The amounts, in micrograms, are 2.6, 3.2, 2.1, 3.0, 3.1, 2.9, 3.7 How strong is the evidence that the mean amount absorbed differs from 3.5 micrograms? Test by using a confidence interval with ?=0.05α=0.05. Show Step1-Step3. Round critical value to nearest hundredth. (e.g. 0.1256 would be entered as 0.13) Round confidence interval to nearest thousandth. (e.g. 0.12456 would be entered as 0.125)
A science project involves testing the effects of different types of music on plant growth. A sample of 24 newly sprouted bean plants is obtained. The plants are randomly assigned to each experimental condition (6 per group). The experimental conditions are: rock music, heavy metal, country, and classical. The dependent variable is the height of each plant after 2 weeks. The ANOVA results are summarized as follows: MSB = 10 and SSW =40. Construct a summary table for this study
Getting an adequate amount of sleep can improve a variety of physiological functions, and it is known that the average number of hours that people sleep each night is normally distributed. A psychiatrist or a major research center takes an SRS of 25 emotionally disturbed patients and records the average amount of sleep that each gets on a typical night. He summarizes the data and finds that Xbar=6.90 and S= 0.878. What sample size would the researcher need to use in order to decrease the margin of error of a 95% confidence interval to +-0.20 hours?
In college, talented runners may join a cross-country team. Runners tend to run their best times when they run even splits. Even splits occur when the runners maintain an even pace throughout the race. The cross-country coach wants to estimate the typical variability in his best runner's 1-mile splits. He takes a random sample of 25 of this runner's mile splits and finds that this runner's mean 1-mile split is 5.44 minutes per mile, with a standard deviation of 0.14 minutes per mile. This runner's 1-mile splits follow a normal distribution. (a) Find the chi-square critical values XL² and Xu² to be used in constructing a 95% confidence interval for the true population standard deviation. (Round your answers to two decimal places.) XL²= XU²= (b) Find the 95% confidence interval for the true variability in his best runner's 1-mile splits. (Round your answers to three decimal places.) lower bound and the upper bound
A father is concerned that his teenage son is watching too much television each day, since his son watches an average of 2 hours per day His son says that his TV habits are no different than those of his friends. Since this father has taken a stats class, he knows that can actually test to see whether or not his son is watching more TV than his peers The father collects a random sample of watching times from boys at his son's high school and gets the following data: 1.9, 2.3, 2.2, 1.9, 1.6, 2.6, 1.4, 2.0, 2.0, 2.2 Find a 95% confidence interval for the true mean number of hours teenagers at that school watch TV. a. Confidence Interval b. Conclusion
PETROGAS is testing new filters for its motorbikes. One brand of filter (Filter A) is placed in one motorbike, and the other brand (Filter B) is placed in the second motorbike. Random samples of air released from the motorbikes are taken at different times throughout the day. Pollutant concentrations are measured for both motorbikes at the same time. The following data attached represent the pollutant concentrations (in parts per million) for samples taken at 20 different times after passing through the filters. a. Test the hypothesis that the mean for the pollutant concentration for Filter B is greater than 30. Use the 1% level of significance. b. Construct a 95% confidence interval for the difference in mean pollutant concentration, where a difference is equal to the pollutant concentration passing through Filter A minus the passing through Filter B. c. Using the 5% significance level, determine whether there is evidence that mean for the pollutant concentration for Filter A…
Vineyard Pines sells clothing online. In 2020, the mean value of orders placed with the company was $34.50. The President of the company made increasing the amount of the average order a priority for 2021. The company has just received the sales data for 2021. You just received the EXCEL file with details of the 400 orders in in the first quarter of 2021. You began by calculating the univariate statistics. Here are your findings:Total sales revenue:$14,000Number of orders in 2021:400Average order: $35.00Standard deviation of the individual orders: $5.20 Required: Determine the P-Value associated with the change in the average order total in 2021. Note that the company’s strategies for growth could have led to a reduction so we cannot assume a one-directional hypothesis. Given the number of data points (orders), you can assume a normal distribution and therefore assume a z-distribution for the data.
2. Recovering from surgery: A new postsurgical treatment was compared with a stan- dard treatment. Seven subjects received the new treatment, while seven others (the controls) received the standard treatment. The recovery times, in days, are given below. Can you conclude that the mean recovery time for those receiving the new treatment is less than the mean for those receiving the standard treatment? Use the a = 0.05 level. Treatment: Control: H₁: 12 18 (a) List the null and alternate hypetheses. Ho : (c) List the P-value. 13 23 (d) Make the comparison. 15 24 19 30 20 32 (b) List the distribution, the test statistic, the calculator program, and all input and output variables. 21 35 We reject Ho / We do not reject Ho (circle one) (e) State the final conclusion in the wording of the problem. 24 39