Write all the normal subgroups of S4. A sagemath output is fine.
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- Ophthalmology Table 2 comes from a paper giving the distribution of astigmatism in 1033 young men ranging in age from 20 to 24 who were accepted for military service in the United States. Assume that astigmatism is rounded to the nearest 10th of a diopter and each subject in a group has the average astigmatism within that group (e.g., for the group 2.0-2.9 diopters, the actual range is from 1.95 to 2.95 diopters), and assume that each man in the group has an astigmatism of (1.95 + 2.95)/2 = 2.45 diopters. Degree of astigmatism (diopters) Frequency 0.0-0.9 458 1.0-1.9 268 2.0-2.9 151 3.0-3.9 79 4.0-4.9 44 5.0-5.9 33 1033 Table 2: Distribution of astigmatism in 1033 young men age 20-24 8. Compute the arithmetic mean. 9. Compute the standard deviation. 10. Construct a histogram to display the distribution of astigmatism.A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. (You may find it useful to reference the appropriate table: chi- square table or F table) Sex of Automobile Buyer. Color Male Female Silver 477 298 Black 536 308 Red 482 348A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. (You may find it useful to reference the appropriate table: chi- square table or F table) Sex of Automobile Buyer. Male Color Female Silver 477 298 Black 536 308 Red 482 348 a. Choose the competing hypotheses to determine whether color preference depends on the automobile buyer's sex. O Họ Color preference is independent of the automobile buyer's sex.: HA Color preference is dependent on the automobile buyer's sex. O Ho Color preference is dependent on the automobile buyer's sex; HA: Color preference is independent of the automobile buyer's sex. b-1. Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and…
- The boxplot image cannot be seen.A data set contains the observations 7,4,2,3,1. Find ( Σx)^2This graph shows data from people from the sub-Saharan area of Africa who have contracted HIV. Outcomes for the patients were recorded as one of 4 mutually possibilities: alive and still in care at the original clinic, alive and still in care after transferring to a new clinic, alive but no longer visiting a clinic, or they’re dead. Keep in mind that this data were collected are from clinical records. Assume that the sample is a random representation of sub-Saharan Africans with HIV. Antiretroviral therapy is used to treat patients. What is the experimental unit? What are the variables (including the types)?
- Here are the descriptive stats for six groups with an N of 26 each. GroupA GroupB GroupC GroupD GroupE GroupF 269 274 342 254 236 304 ? ? ? ? ? 1.3 1.4 1.2 10.7 1.8 11.6 6.4 7.1 6.2 Sum Mean Standard Error Median Standard Deviation Group A Group B Group D Group C Choose... Choose... Choose... ? Choose... 1.4 3.4 Look at the statistics for each group, then describe the shape of the distribution for the FOUR groups listed below. 6.9 + 1.1 19.9 + 5.8 1.5 17.4 7.7The numbers of attendees at an annual convention, for each of the last 20 years, are given below. Construct a stom and leaf display for given data Use a double-stem display. K 159 146 154 145 132 134 134 135 127 125 126 132 135 143 148 150 146 150 129 134 e OA. (125-129) 12/125 126 127 129 (130-134) 13 132 134 (135-139) 13135 (140-144) 14/143 (145-149) 14 145 146 148 (150-154) 15/150 154 (155-159) 15/159 OC. (125-129) 125679 (130-134) 132 2444 (135-139) 1355 (140-144) 143 (145-149) 145 668 (150-154) 150 04 1155-1501 150 6 OB. (125-129) 125679 (130-134) 132 4 (135-139) 13/5 5 (140-144) 143 (145-149) 145 68 (150-154) 150 4 (155-159) 159 OD. (125-129) 12/125 126 127 129 (130-134) 13 132 132 134 134 134 (135-139) 13/135 135 (140-144) 14/143 (145-149) 14 145 146 146 148 (150-154) 15/150 150 154 11551591 15/16 Time Remaining: 03:51 36 Next 10:0 4/25За. Does a full moon affect the behavior for dementia patients in nursing homes? For a set of dementia patients in a nursing home, disruptive or aggressive behavior was recorded for full moon days (3 days centered at the day of the full moon) and other days. The results were as follows: Average number of disruptive incidents per day for dementia patients Patient 1 3 4 5 7 9. 10 11 12 13 14 15 Full moon 3.33 3.67 2.67 3.33 3.33 3.67 4.67 2.67 6.00 4.33 3.33 0.67 1.33 0.33 2.00 Other days 0.27 0.59 0.32 0.19 1.26 0.11 0.30 0.40 1.59 0.60 0.65 0.69 1.26 0.23 0.38 Does this evidence suggest that the full moon affects the behavior of dementia patients? Use a significance level of 0.10. b. Create a 95% confidence interval for the mean difference in aggressive behaviors per day.
- From sample data collected, we want to see if any relationship exists between specific products and the color in which they were ordered. The table below shows the number of times each product was ordered in each color. A chi-square test of independence will help to determine whether a relationship exists between product and color. Product A Product B Product C Black 30 40 50 Red 10 58 22 Silver 60 35 10 Is there a relationship between product and color, using a = .05?.Define any statistic cells as desired (e.g., the mean profit)?Different data sets can not be compared to one another if they are normally distributed. O True O False Co search
