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1c.STATISTICAL INFERENCE
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- HW (CI) (Section 7.2)-Part Ib Name Julian Guillemo Statistics Math 10 1. (Example1) What do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelons. It is known that o = $1.92 per 100 pounds of watermelons. What can we assert with 98% confidence about the maximum error? (Reference: Agricultural Statistics, U.S. Department of Agriculture) %3D 2. (Example 2): At a test site in Great Sand Dunes National Park, Colorado, the prevailing wind did not change direction. However, the velocity did. Sixty wind speed readings gave an average velocity of x =1075 cm/sec. Basod onHypertension It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample of 171 of each gender was selected from recent hospital records, and the following results were obtained. Can you conclude that a higher percentage of women have high blood pressure? Use a = 0.10. Men 44 patients had high blood pressure Women 58 patients had high blood pressure Use p, for the proportion of men with high blood pressure and round all intermediate calculations to at least three decimal places.Statistical power theory
- CorrelationReading is fundamental to a teenager's ability to perform well in school. Assume a researcher is interested in the ability of the number of books read over the summer to predict ACT Reading scores. Using a random sample of 10 random high school students the researchers recorded the number of books read over the summer and the students' ACT Reading scores. Books Read (X) ACT Score (Y) (X- Xmean) (Y - Ymean) (X-Xmean)(Y-Ymean) (X-Xmean)? (Y - Ymean)? 2 16 -5.4 -14.9 81 29 221 2 19 -5.4 -11.9 64 29 141 3 17 -4.4 -13.9 61 20 192 4 25 -3.4 -5.9 20 12 34 21 -3.4 -9.9 34 12 97 24 -1.4 -6.9 10 2 47 6 21 -1.4 -9.9 14 2 97 8 24 0.6 -6.9 -4 47 7 27 -0.4 -3.9 2 15 10 22 2.6 -8.9 -23 7 78 Total 52 216 259.1 113.3 969.3 МEAN 7.4 30.9 a. Identify the regression line using the number of books read to predict ACT Reading score. Use a = .05 to evaluate the quality of the prediction of the regression line. b. What is the predicted ACT Reading score when 5 books are read?What does the correlation matrix for a multiple regression analysis contain?A. Multiple correlation coefficientsB. Simple correlation coefficientsC. Multiple coefficients of determinationD. Multiple standard errors of estimate
- age As a labor economist, you would like to measure the effect that an older sibling has on the average level of education for the youngest sibling. You randomly select 137 individuals from t Longitudinal Study of Youth (NLSY) that have an older brother (population 1) and 245 individuals that have an older sister (population 2) and compare the average level of education of the sibling depending on having an older brother or older sister. Which of the following is the best test to use for your hypothesis assuming only the following tests are available? Use "Formula Sheet Fall 2020" if necessary. Select one: O a. A paired sample t-test for the difference in two population means O O O b. Az-test for the difference in two population means c. A t-test for the difference in two population means with unknown but equal variances d. A chi square test for single population variance e. An F-test for the ratio of two population variances FinishLDL - low density lipoprotien - cholesterol is considered the bad cholesterol. A pharmaceutical company conducts a clinical trial on people with high levels of LDL cholesterol. The trial involves a random sample of n = 13 persons who have high levels of LDL. Each person has their LDL level measured prior to the beginning of the drug trial. Each person is then to take a new drug that is believed to lower ones LDL levels. After a period of 4-weeks, the LDL level of each person is measured again. The difference between the initial LDL level and the LDL-level four weeks after taking the drug is then computed. -0.44, -0.63,-0.73, 0.38, -0.21, 0.05, -0.53, -1.02, -0.3, -0.32, -0.06, -0.4, -0.63 Data from the sample, are saved in the Download .csv file. Assuming the difference in the LDL-levels is Normally distributed, find a 94% confidence interval for μ, the mean difference in the LDL-level of a person after taking the drug for four weeks. Use at least four decimals for your lower and upper…2/12
- Using bike weight to predict bike price what would be the response variable here?Blood pressure in women: The three quartiles for systolic blood pressure in a sample of 1213 women between the ages of 20 Delivery and 29 were Q,- 103, Q, = 105, and Q = 118. Part: 0/3 Part 1 of 3 Find the IQR. IQR = de home pg up pg dn ort sc delete end + & num lock backspace %23 $ 6. 8. 6. フ 9Home Prices A real estate agent compares the selling prices of homes in two municipalities in a certain location to see if there is a difference. The results of the study are shown. Is there enough evidence to reject the claim that the average cost of a home in both locations is the same? Use a = 0.10. City A City B X = $96,950 X,= $98,600 o, = $5602 0, = $4731 n, = 36 n2= 37 Part 1 of 5 motheses and identify the claim. separate them with (s):-1.65, 1.65 Part: 2 / 5 Part 3 of 5 (c) Compute the test value. Always round z score values to at least two decimal places.