3.2) A study was done to determine if a new diet plan would decrease weight. A random sample of 10 individuals were weighed before and after the plan with the results listed below: Ferson BCDEFG Before Diet Plan 177 245198 210 160 154 130 144214 174 168 241 197 205 158 157 128 148 212 168 H IJ After Diet Plan Using a significance level of 5%%, does the evidence indicate that this diet plan is effective?
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- Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, a group of students from a large psychology class were given questions to be answered while studying for the final exam. The overall average for the exam was m = 73.4 but the n = 16 students who answered questions had a mean of M =78.3 with a standard deviation of s = 8.4. Use a two-tailed test with a = .01 to determine whether answering ques- tions while studying produced significantly higher exam scores.The manager of a company that assembles and exports a particular type of pumps wants to know if there is a link between the number of hours spent by assembly workers in training and their productivity on the job. A random sample of 7 assembly workers was selected and their performances evaluated. The summary of the obtained data is listed in Table 2. Table 2: Shows the time spend by workers during training and their productivity on jobTraining hours (x) 20 36 20 38 40 33 32Output (y) 40 70 44 56 60 48 62 (i) Construct a scatter plot of the sample data and comment on the relationship between hours of training and output. (ii) Estimate a simple regression line, using the method of least squares, to identify a linear relationship between the hours of training received by assembly workers and their output (i.e. number of units assembled per day). (iii) Interpret, in context, the gradient/slope of the regression line. (iv) Estimated the output at 20 hours training time. (v) Interpret the…Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, an instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam. The overall average for the exam was μ = 73.4, but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of s = 8.4. For this study, did answering questions while studying produce significantly higher exam scores? Use a one-tailed test with α = .01 and the Distributions tool to help. (Round your answers to three decimal places, when needed.) sMM = t-critical = t = The results indicate: Failure to reject the null hypothesis; answering questions while studying did not produce significantly higher exam scores…
- Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, an instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam. The overall average for the exam was μ = 73.4, but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of s = 8.4. For this study, did answering questions while studying produce significantly higher exam scores? Use a one-tailed test with α = .01A statistical program is recommended. Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Weekly Usage(hours) AnnualMaintenanceExpense 13 17.0 10 22.0 20 30.0 28 37.0 32 47.0 17 30.5 24 32.5 31 39.0 40 51.5 38 40.0 #1) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.) #2) The expected expense of a machine being used 34 hours per week is $ hundred.3. Research suggests that depression significantly increases the risk of developing dementia later in life. Suppose that in a study involving 949 elderly persons, it was found that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. a) Describe the relevant population and the sample.b) Are the numbers 22% and 17% associated with the population or a sample?
- According to data published by a restaurant survey group, a sample of meals ordered had the distributions of proteins in the first row. According to vendors, restaurants claim that meals ordered had the distributions of proteins in the second row. Use a 0.05 significance level to test if the claimed distribution matches the sample.Protein Sampled (%) Claimed (%)Beef Chicken 41.7 26.845 26Pork Seafood8.7 13.7 10.1Plant 14 11 4The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M's, Kit Kat, and Milky Way II. M&M's Kit Kat Milky Way II 250 245 200 230 225 228 220 205 202 210 215 190 250 240 180 Test for significant differences among the calorie content of these three candies. State the null and alternative hypotheses. -H0: MedianMM = MedianKK = MedianMWHa: MedianMM ≠ MedianKK ≠ MedianMW -H0: MedianMM = MedianKK = MedianMWHa: MedianMM > MedianKK > MedianMW -H0: MedianMM ≠ MedianKK ≠ MedianMWHa: MedianMM = MedianKK = MedianMW -H0: All populations of calories are identical.Ha: Not all populations of calories are identical. -H0: Not all populations of calories are identical.Ha: All populations of calories are identical. Find the value of the test statistic. (Round your answer to two decimal places.) Answer=?? Find the p-value. (Round your answer to three decimal places.) p-value =?? At a 0.05…Based on a survey of 12,344 U.S. college students and 6,729 Canadian college students, Kuo, Adlaf, Lee, Gliksman, Demers, and Wechsler (2002) report that alcohol use is more common among Canadian than U.S. students, but heavy drinking (five or more drinks in a row for males, four or more for females) is significantly higher among U.S. students than Canadian students. Is this an example of a survey research design?
- A corporation is trying to decide which of three makes of automobile to order for its fleet—domestic, Japanese, or European. Five cars of each type were ordered, and, after 10,000 miles of driving, the operating cost per mile of each was assessed. The accompanying results in cents per mile were obtained. Domestic Japanese European 18.0 20.1 19.3 15.6 15.6 15.4 15.4 16.1 15.1 19.1 15.3 18.6 16.9 15.4 16.1 a. Prepare the analysis of variance table for these data. b. Test the null hypothesis that the population mean operating costs per mile are the same for these three types of car. c. Compute the minimum significant difference and indicate which subgroups have different means.The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M's, Kit Kat, and Milky Way candies. M&M's Kit Kat Milky Way 210 205 200 220 215 218 230 235 202 240 225 190 210 250 180 Test for significant differences among the calorie content of these three candies. State the null and alternative hypotheses. H0: MedianMM = MedianKK = MedianMWHa: MedianMM > MedianKK > MedianMW H0: All populations of calories are identical.Ha: Not all populations of calories are identical. H0: Not all populations of calories are identical.Ha: All populations of calories are identical. H0: MedianMM ≠ MedianKK ≠ MedianMWHa: MedianMM = MedianKK = MedianMW H0: MedianMM = MedianKK = MedianMWHa: MedianMM ≠ MedianKK ≠ MedianMW Find the value of the test statistic. (Round your answer to two decimal places.) =____ Find the p-value. (Round your answer to three decimal places.) p-value = _____ At a…5) A random sample of eight drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experiences (in years) and monthly auto insurance premiums. Driving Experience (years) Monthly Auto Insurance Premium 5 $64 2 87 12 50 9 71 15 44 6 56 25 42 16 60 Does the insurance premium depend on the driving experience or does the driving experience depend on the insurance premium? Do you expect a positive or a negative relationship between these two variables?