19. Road Patrol. In the paper “Injuries and Risk Factors in a100-Mile (161-km) Infantry Road March" (Preventative Medicine,Vol. 28, pp. 167–173), K. Reynolds et al. reported on a study com-missioned by the U.S. Army. The purpose of the study was to im-prove medical planning and identify risk factors during multiple-dayroad patrols by examining the acute effects of long-distance marchesby light-infantry soldiers. Each soldier carried a standard U.S. Armyrucksack, Meal-Ready-to-Eat packages, and other field equipment.A sample of 10 participating soldiers revealed the following data ontotal load mass, in kilograms.48 50 45494447 37544043a. Obtain the sample mean of these 10 load masses.b. Obtain the range of the load masses.c. Obtain the sample standard deviation of the load masses.

a) The mean is calculated as follows:

Answered: 19. Road Patrol. In the paper “Injuries…

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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2. An article in the journal Applied Nutritional Investigation reported the results of a comparison of two different weight-loss programs (Liao, 2007). In the study, obese participants were randomly assigned to one of two groups and the percent of body fat loss was recorded. The soy group, a low-calorie group that ate only soy-based proteins (M= 3.1, s=0.55), while the traditional group, a low-calorie group that received 2/3 of their protein from animal products and 1/3 from plant products (M= 1.9, s=0.45). If sm1-M2 = 0.24, s²pooled = 0.25, n1 = 8, n2 = 10 is there a difference between the two diets. Use alpha of .05 and a two-tailed test to complete the 4 steps of hypothesis testing.
4. A pharmaceutical company wants to test whether the incidence of side effects (i.e. adverse events)differs between the treatment and placebo groups at theα= 0.05. Letp1= the proportion of subjects in the treatment groups who experienced at least one adverse event and letp2= the proportion of subjects in the placebo group who experience at least one adverse event. 8 out of 30 people in the treatment group experienced at least one adverse event and 5 out of 30 people in the placebo group experienced at least one adverse event. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value (d) Draw a picture of the distribution of the test statistic under H0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.05 level and state your conclusions in…
Section 6.3: Hypothesis Test of Differences in Proportions Example 4. Autism and Maternal Antidepressant Use A recent study41 compared 298 children with Autism Spectrum Disorder to 1507 randomly selected control children without the disorder. Of the children with autism, 20 of the mothers had used antidepressant drugs during the year before pregnancy or the first trimester of pregnancy. Of the control children, 50 of the mothers had used the drugs. (a) Is there a significant association between prenatal exposure to antidepressant medicine and the risk of autism? Test whether the results are significant at the 5% level. (b) Can we conclude that prenatal exposure to antidepressant medicine increases the risk of autism in the child? Why or why not?
2. A researcher conducts a study examining the effectiveness of a group exercise program at an assisted living facility for elderly adults. One group of residents is selected to participate in the program, and a second group serves as a control. After 6 weeks, the researcher records a combined score measuring balance and strength for each individual. The data are as follows: Control n = 10 M = 12 SS = 120.5 Exercise n = 15 M = 15.5 SS = 190.0 Conduct the four steps for hypothesis testing and label a. Use a two-tailed test with a = .05. each step: Step1, Step 2, Step 3, and Step 4. b. Calculate Cohen's d. c. Are the data sufficient to conclude that thier is a significant difference? Write your answer in the form of a sentence.
7. Effect size - Cohen's d and r squared An industrial/organizational psychologist has been consulting with a company that runs weekend job-seeking workshops for the unemployed. She collected data on several issues related to these workshops and, after conducting statistical tests, obtained statistically significant findings. She needs to find a way to evaluate effect size so that she can make recommendations to the company. One of the psychologist’s findings is that 18 months after the workshop, a sample of 36 job seekers who received training on resume writing scored an average of 7.3 as measured on a 9-point job-search motivation scale, with a standard deviation of 1.5. The typical job seeker scores 6.1 points. The psychologist finds that the estimated Cohen’s d is , the t statistic is 4.80, and r² is . Using Cohen’s d and Cohen’s guidelines for interpreting the effect size with the estimated Cohen’s d, there is a treatment effect. Using r² and the extension…
4
9.1 A General Social Survey asked: "Do you support or oppose the following measures to deal with AlIDS? (1) Have the government pay all of the health care costs of AIDS patients; (2) Develop a government information program to promote safe sex practices, such as the use of condoms." Table 9.16 summarizes opinions about health care costs (H) and the information program (), classified also by the respondent's gender (G). Fit loglinear models (GH, GI), (GH, HI), (GI, HI), and (GH, GI, HI). Show that models that lack the HI term fit poorly. Interpret results for the model (GH, GI, HI). Table 9.16 Data for Exercise 9.1 on Measures for Dealing with AIDS Health Opinion Information Gender Opinion Support Oppose Male 160 Support Oppose Support Oppose 76 25 181 48 Female 14 11
5. A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay of patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Cognitive Disorders 12, Affective Disorders Drug-Related Conditions 7. 8. 6. 8. 10 5. 6. 12 11 10 Mı=6 M2 = 10 M3 = 10 %3D %3D SS, = 2 SS2 = 10 SS2 = 8 SSBetween= 42.67 a. What test are you going to perform? b. List the hypotheses c. List the decision rule d. Perform the ANOVA e. Complete the ANOVA table Source SS df MS Between Within Total f. Report your ANOVA result in APA format.
The more costly and time-consuming it is to export and import, the more difficult it is for local companies to be competitive and to reach international markets. As part of an initial investigation exploring foreign market entry, 9 countries were selected from each of four global regions. The cost associated with importing a standardized cargo of goods by sea transport in these countries (in US$ per container) is stored in the accompanying data table. Complete parts (a) through (d). East Asia & Pacific Eastern Europe & Central Asia Latin America & Caribbean Middle East & North Africa240 77 1200 466777 335 688 397266 396 970 554383 83 290 644580 150 545 181220 306 420 646389 1125 450 695233 655 583 754392 100 1500 779 c. At the 0.05 level of significance, is there evidence of a difference in the variation in cost of importing among the four global regions? Determine…
Penicillin Yields. In Statistics for Experimenters (New York, NY: John Wiley &Sons, Inc., 1978),G. Box, W. Hunter, and J. Hunter describe an experiment to determine the effect on yield of four variants of a process for producing penicillin. A basic material in the production process, corn steep liquor, was known to be quite variable. Five blends of corn steep liquor were obtained, and each blend was divided into four equal parts. The four process variants were randomly assigned to the four parts in each blend. The penicillin yields are given in the following table.
4. (a) A study looked into the views of workers towards a government policy of school closures in order to reduce coronavirus transmission. 300 participants from three sectors (hospitality, banking and construction) were interviewed and their responses were classified into three categories, namely positive, neutral and negative. The data are shown below. View Towards School Closure Positive Neutral Negative Total Hospitality Banking Construction 35 25 40 100 28 47 25 100 38 22 40 100 Total 101 94 105 300 i. Based on the data in the table, and without conducting a significance test, describe the differences of views across the different sectors. ii. Calculate the x? statistic and use it to test for independence, using a 5% significance level. What do you conclude? (b) i. Describe what selection bias is and when it may occur. Give an example. ii. You have been asked to design a nationwide survey in your country to find out about working conditions among employees in the postal offices.…
2. Many people take ginkgo supplements advertised to improve memory. Are these over-the- counter supplements effective? In a study, elderly adults were assigned to the treatment group or control group. The 104 participants who were assigned to the treatment group took 40 mg of ginkgo 3 times a day for 6 weeks. The 115 participants assigned to the control group took a placebo pill 3 times a day for 6 weeks. At the end of 6 weeks, the Wechsler Memory Scale was administered. Higher scores indicate better memory function. Summary values are given in the following table: a) Based on these results, is there evidence that taking 40mg of ginkgo 3 times a day is effective in increasing mean performance on the Wechsler Memory Scale?b) Write a brief report on your findings

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