1. A memory expert tests three different styles of speed memprization on 11 participants with the following data on their respective time in minutes on memorizing a piece: STYLE 1 30 STYLE 2 STYLE 3 45 35 15 21 24 40 29 32 22 39 a. Using the 0.05 level of significance, are the styles equally effective for speed memorization? b. Using the 0.025 level of significance, are the styles equally effective for speed memorization?
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- The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…
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- The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations. The data for each location on the two different dates is in the table. Do the data show that on average fewer people drive on Friday the 13th? Test at the 5% level.Traffic Count Dates 6th 13th 1990, July 137669 135825 1990, July 129699 128891 1991, September 136898 138275 1991, September 138966 139940 1991, December 132021 129640 1991, December 119268 119214 1992, March 131938 131104 1992, March 123306 124760 1992, November 129499 129219 1992, November 138568 135934A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. blood types condition O A B AB Total critical 64 44 20 8 136 severe 175 129 50 15 369 moderate 211 528 151 125 1015 mild 200 400 140 140 880 total 650 1101 361 288 2400 a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance? [2 marks]A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 2400 a. State both the null and alternative hypotheses.b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic.d. What conclusion are you allowed to draw?e. Would your conclusion change at the 10% level of significance?f. Confirm test results in part (c) using JASP. Note: All JASP input files and outputtables should be provided