14. In an experiment of exercise and health, the pretest and posttest scores for the control group are 55% and 54%, and the pretest and posttest scores for the experimental group are 53% and 61%. Therefore, the effect of exercise is: 6% 8% O 11% 9%
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- In order to determine whether a particular medication was effective in curing the common cold, one group of patients was given the medication, while another group received sugar pills. The results of the study are shown below. PatientsCured PatientsNot Cured Received medication 70 10 Received sugar pills 20 50 We are interested in determining whether the medication was effective in curing the common cold.6. In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William Emory discuss studying the relationship between on-the-job accidents and smoking. Cooper and Emory describe the study as follows: Suppose a manager implementing a smoke-free workplace policy is interested in whether smoking affects worker accidents. Since the company has complete reports of on-the-job accidents, she draws a sample of names of workers who were involved in accidents during the last year. A similar sample from among workers who had no reported accidents in the last year is drawn. She interviews members of both groups to determine if they are smokers or not. The sample results are given in the following table.Cranberry juice It’s common folk wisdom that drinkingcranberry juice can help prevent urinary tract infections inwomen. In 2001 the British Medical Journal reported theresults of a Finnish study in which three groups of50 women were monitored for these infections over 6months. One group drank cranberry juice daily, another group drank a lactobacillus drink, and the third drank nei-ther of those beverages, serving as a control group. In the control group, 18 women developed at least one infection,compared to 20 of those who consumed the lactobacillusdrink and only 8 of those who drank cranberry juice. Doesthis study provide supporting evidence for the value ofcranberry juice in warding off urinary tract infections?a) Is this a survey, a retrospective study, a prospectivestudy, or an experiment? Explain.b) Will you test goodness-of-fit, homogeneity, orindependence?c) State the hypotheses.d) Test the conditions.e) How many degrees of freedom are there?f) Find x2and the P-value.g) State…
- In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William Emory discuss studying the relationship between on-the-job accidents and smoking. Cooper and Emory describe the study as follows: Suppose a manager implementing a smoke-free workplace policy is interested in whether smoking affects worker accidents. Since the company has complete reports of on-the-job accidents, she draws a sample of names of workers who were involved in accidents during the last year. A similar sample from among workers who had no reported accidents in the last year is drawn. She interviews members of both groups to determine if they are smokers or not. The sample results are given in the following table. On-the-Job Accident Smoker Yes No Row Total Heavy 12 5 17 Moderate 9 10 19 Nonsmoker 13 17 30 Column total 34 32 66 Expected counts are below observed counts Accident No Accident Total Heavy 12 5 17 8.76 8.24…11. A researcher conducts an experiment using a 2x3 between-subjects design? What can you infer about the statistics needed to analyze the data? a. A 2x3 ANOVA will yield 2 main effects and 3 interactions. b. A 2x3 ANOVA will yield 3 main effects and 2 interactions. c. A 2x3 ANOVA will yield 6 main effects and 2 interactions. d. A 2x3 ANOVA will yield 2 main effects and 1 interaction.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= 2.30, 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= 1.22, s=0.50). If sM1–M2 = 0.3, s2pooled = 0.275, n1 = 6, n2 = 6 is there a difference between the two diets. Use alpha of .05 anda two-tailed test to complete the 4 steps of hypothesis testing.
- How profitable are different sectors of the stock market? One way to answer such a question is to examine profit as a percentage of stockholder equity. A random sample of 27 retail stocks such as Toys 'R' Us, Best Buy, and Gap was studied for x1, profit as a percentage of stockholder equity. The result was x1 = 14.4. A random sample of 36 utility (gas and electric) stocks such as Boston Edison, Wisconsin Energy, and Texas Utilities was studied for x2, profit as a percentage of stockholder equity. The result was x2 = 9.7. Assume that σ1 = 3.1 and σ2 = 2.9. (a) Categorize the problem below according to parameter being estimated, proportion p, mean μ, difference of means μ1 – μ2, or difference of proportions p1 – p2. Then solve the problem. pμ p1 – p2μ1 – μ2 (b) Let μ1 represent the population mean profit as a percentage of stockholder equity for retail stocks, and let μ2 represent the population mean profit as a percentage of stockholder equity for utility stocks. Find a 90%…How profitable are different sectors of the stock market? One way to answer such a question is to examine profit as a percentage of stockholder equity. A random sample of 27 retail stocks such as Toys 'R' Us, Best Buy, and Gap was studied for x1, profit as a percentage of stockholder equity. The result was x1 = 14.4. A random sample of 36 utility (gas and electric) stocks such as Boston Edison, Wisconsin Energy, and Texas Utilities was studied for x2, profit as a percentage of stockholder equity. The result was x2 = 9.7. Assume that σ1 = 3.1 and σ2 = 2.9. (a) Categorize the problem below according to parameter being estimated, proportion p, mean μ, difference of means μ1 – μ2, or difference of proportions p1 – p2. Then solve the problem. pμ p1 – p2μ1 – μ2 (b) Let μ1 represent the population mean profit as a percentage of stockholder equity for retail stocks, and let μ2 represent the population mean profit as a percentage of stockholder equity for utility stocks. Find a 90%…In an experiment with two factors, A and B ,what is the purpose of doing a multiple comparison if a. only the Factor A effect is significant? b. both Factor A and B effects are significant, but the interaction is not? c. the interaction between A and B is significant?
- How profitable are different sectors of the stock market? One way to answer such a question is to examine profit as a percentage of stockholder equity. A random sample of 32 retail stocks such as Toys 'R' Us, Best Buy, and Gap was studied for x1, profit as a percentage of stockholder equity. The result was x1 = 14.0. A random sample of 36 utility (gas and electric) stocks such as Boston Edison, Wisconsin Energy, and Texas Utilities was studied for x2, profit as a percentage of stockholder equity. The result was x2 = 10.3. Assume that ?1 = 4.5 and ?2 = 3.0. (a) Categorize the problem below according to parameter being estimated, proportion p, mean ?, difference of means ?1 – ?2, or difference of proportions p1 – p2. Then solve the problem. p1 – p2?1 – ?2 ?p (b) Let ?1 represent the population mean profit as a percentage of stockholder equity for retail stocks, and let ?2 represent the population mean profit as a percentage of stockholder equity for utility stocks. Find a 99%…In a study of reading comprehension, sixth grade students read a short story about baseball. The students are divided into two groups based on their knowledge of baseball. Within each group, half of the students are high scorers on a test of verbal IQ, while the remaining students are low scorers. She found: Low baseball High baseball Low IQ-V 20 25 High IQ-V 20 30 What is the main effect of baseball knowledge? those in the high knowledge group score lower on reading comprehension than those in the low knowledge group. there is no main effect of baseball knowledge those in the high verbal IQ group score higher on reading comprehension than those in the low verbal IQ group. those in the high knowledge group score higher on reading comprehension than those in the low knowledge group.In a study examining the permanence of academic learning, Bahrick and Hall (1991) tested knowledge of high school algebra for two groups of participants 50 years after they graduated from high school. One group had received additional college math courses and the other group had received no advanced math courses in college. The following table shows data similar to Bahrick and Halls results. No College Math Additional Math n = 4 n = 8 M = 42 M = 50 s2 = 33.333 s2 = 20 1) Do the data indicate a significant difference between the two groups? Use a two- tailed test with α = .05. Report and interpret r2.
