Problem 1) A statistical process control monitoring system samples the inside diameter of ball bearing every hour. Measurements were taken every hour for 25 hours. The target thickness, 7, is the average. 0.992 1.015 0.988 0.996 1.015 1.000 0.989 0.994 1.018 0.997 1.020 1.007 1.006 0.982 1.001 0.992 1.020 0.993 0.978 0.984 0.990 1.015 0.983 MANE
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- Problem 6 The compressive strength of concrete is being tested by a civil engineer. She tests 12 specimens and obtains the following data (in psi): 2213, 2256, 2247, 2203, 2225, 2304, 2289, 2287, 2312, 2252, 2274, 2295. Part a Assuming that the compressive strength is normally distributed, test the hypothesis that the mean strength is at least 2250 psi. Part b Refer to Problem 6. Now assume that the compressive strength is not normally distributed, and test the hypothesis that the median strength is at least 2250 psi. One way to do this is to notice that if the median is 2250 psi, then you can count how many of the samples have strengths above and below that value—i.e., the proportion of samples greater than 2250—compared to the proportion you would expect if the true median were indeed 2250 psi. If you view the data as being either above or below the median, you can calculate the related P-value. Refer to Problem 6. Are the P-values from (a) and (b) similar? If not, can you…Refer the data in images Problem a)What is the appropriate test procedure to test for significant differences in mean white blood cell count between people who do and people who do not receive a bacterial culture?Problem b) Perform the procedure in Problem a using thecritical-value method.Problem c) What is the p-value corresponding to your answer toProblem b ?Problem 2:Examine the relationship between amount of time spent studying for an exam (X) in hours andthe score that person makes on an exam (Y)X Y2 653 703 754 705 856 857 90 using spss Give the following:1. Null hypothesis2. Alternative hypothesis3. Statistical test4. Computation5. Decision6. Conclusion
- Problem 5You’re a civil engineer testing the compressive strength of concrete to be used in bridgeconstruction. You test 16 concrete specimens, the resulting in the following compressivestrengths (in psi). DATA:2223 2329 2269 2244 2258 2325 2204 22962316 2272 2302 2342 2307 2205 2208 2311 a. Is the mean compressive strength greater than 2200 psi? Use the critical value approachand the appropriate table with 95% confidence.b. Is the mean compressive strength greater than 2200 psi? Use the p-value approach andExcel with 95% confidence.c. Is the standard deviation of compressive strength less than 50 psi? Use the critical valueapproach with 95% confidence.Problem 1: In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colleges were overweight. The definition of overweight is a body mass index (BMI) of over 25. In 2019, a professor in public health at a major university wanted to determine whether that proportion had decreased since 2008. So, he sampled 800 randomly selected incoming male freshman at universities around the country. Using the BMI measurements, he found that 210 of them were overweight. Test the professor’s claim at an α = 0.05 level of significance, the proportion of obese male teenagers in American colleges decreased. Make sure that any necessary assumptions for conducting the hypothesis test are satisfied. A) State the null and alternative hypothesis. H0: Ha: B) Determine the critical value(s) for the test. C) Compute the test statistic (show…The Prevalence per 10,000 population of having health insurance for 1 (Table 5 box s. above) is: The Prevalence per 10,000 population of having health insurance for 2 (Table 5 box w. above) is:
- Problem 10.6. Does the rate of voter turnout vary significantly by the type of election? A random sample of voting precincts displays the following pattern of voter turnout by election type. Assess the results for significance To know which groups are different from one another, we need to examine the results from the post hoc test analysis. Not all of what you get needs to be examined. Discuss final results using APA format. In addition to referring to information from the previous two tables,Figure 6.4b (p. 172) plotted the sampling distribution of the mean from 200 samples of size 5 from the population of 1000 birthweights given in Table 6.2. The mean of the 1000 birthweights in Table 6.2 is 112.0 oz with standarddeviation 20.6 oz. A) If the central-limit theorem holds, what proportion of the sample means should fall within 0.5 lb of the population mean (112.0 oz)? B) Answer Problem 6.52 for 1 lb rather than 0.5 lb. C) Compare your results in Problems 6.52 and 6.53 with the actual proportion of sample means that fall in these ranges. D) Do you feel the central-limit theorem is applicable for samples of size 5 from this population? Explain.Step 1: Determine Rejection Region. Step 2: Solve for Test Statistic. New Cases New Deaths 1765 4 1097 5 891 4 959 6 937 58 1047 26 1353 9 1776 8 1952 34 1906 8 2052 11 1524 139 1453 146 1912 40 2048 137 2058 8 1895 11 2163 14 1357 69 1862 64 1783 74 2178 20 1797 54 1949 53 1581 50 1173 94 2245 95 1169 71 1849 48 2109 71 2103 80 1658 58 1583 67 1266 68 1590 55 1894 61 1941 52 1790 70 1690 52 1235 65 1345 114 1734 68 2022 26 1960 12 1928 8 1685 2 1391 7 1184 53 1744 96 1901 157 2240 239 1888 20 2288 6 1414 16 1557 22 2269 72 2651 46 2921 42 2113 29 2037 4 2067 47 1783 20 2452 15 3045 19 3439 42 3276 51 3356 5 2668 7 2886 17 3749 63 4578 87 5000 72 4899 63 5404 8 4437 11 4387 18 5290 21 7103 13 7999 30 7757 39 8019 4 5867 20 6666 47 8773 56 9838 54 9595 10 9475 11 10016 16 9296 5 6128 106
- Question 5: A college is interested in if the year of receiving high-level education (college and above) influences students’ salaries when they join the working field. The college randomly selected 4 students who recently received a full- time work offer and collected their year of receiving high-level education and salary per week. The raw data is: Participant Year of high-level education Salary per week Participant 1 4 1150 Participant 2 5 1300 Participant 3 7 1600 Participant 4 2 750 Plot the scatterplot and label the participants. Calculate the correlation coefficient between the year of high-level education and salary per week. Calculate the regression equation using the year of receiving high-level education to predict the salary per week. If a student graduate from college and graduate school in a total of 6 years, what is this student’s predicted salary per week?The following data were collected in the study described in Problem 1 relating hypertensive status measured at baseline to incident stroke over 5 years. Free of Stroke at 5 Years Stroke Baseline: Not Hypertensive 932 58 Baseline: Hypertensive 254 106 Compute the incidence of stroke in this study, overall. 0.294 0.121 0.059 0.879question 4 The performance of students at a local community was recorded and categorized based on student’sfaculty. The gathered data was then analyzed by a statistician and the results obtained using MINITAB are shown below: low Average High Total Science 12 30 52 94 (15.67) (29.24) (49.09) Humanities 14 20 30 ** (10.67) (19.91) (33.42) Law 4 6 12 22 (* ) (6.84) (11.49) Total 30 56 94 180 chi-sq = 0.858 + 0.020 + *** + 1.042 0.000 + 0.350 + 0.030 + 0.104 +…