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3. Write a short explanation of whether or not you agree with each of the following statements: a. Based on sample of cars tested, a 95% condence interval for the mean gasoline mileage for Civic Hybrid cars is given as 42.5 to 46.0 mpg. i. Can we say that 95% of Civic Hybrids will have an average gasoline mileage between 42.5 and 46.0 mpg? plain. (5 ptS) ii. Can we say that the mean gasoline mileage is more likely to be below 45.0 mpg than above 45.0 mpg? plain. (5 ptS) iii. Can we say that the mean gasoline mileage could not be as large as 47.0 mpg? plain. (5 ptS) 4. The uric acid level in samples of aperson's blood was measured at different times and summarized in the table; the units are milligrams per deciliter (mg/dL): Note: Data le for this table is on D2L in the Content - > Final Exam Files folder. 7.8 7.5 5.8 5.8 6.8 4.5 4.8 5.2 5.3 (25 pts) a. Calculate the sample statistics, , s and n. b. Calculate a 95% condence interval for the mean uric acid level in the person's blood. c. Write the null and alternative hypotheses to test whether the mean uric acid level is below 7.2 mg/dL. H0: English version: Symbolic version: H A: English version: Symbolic version: 01. Find, and write down, the p-value associated with the data or the summary values in part a. Should your null or alternative hypothesis be considered to be correct? You may use a signicance level of 5%. e. State your conclusion to someone who doesn't know statistics. LB 5. In a telephone survey completed in the Spring of 2014, a randomly selected number of US adults were asked the question \"Is there solid evidence that the earth has been warming?\" They were also asked their political party preference. The following is a partial summary of the results. Republican Democratic Yes, solid evidence 154 363 517 No, no solid evidence 307 171 478 461 534 995' (20 pts) a. What is the sample proportion for adults who prefer the Republican party who would answer \"Yes\" to the question? What is a 95% condence interval for the percent of all adults who prefer the Republican party who would answer \"Yes\" to the question? What is the sample proportion for adults who prefer the Democratic party who would answer \"Yes\" to the question? What is a 95% confidence interval for the percent of all adults who prefer the Democratic party who would answer "Yes" to the question? C. Looking at separate confidence intervals is generally not a good method for making a conclusion. For this part you will compute a 99% confidence interval for the difference in the population proportions for Republicans and Democrats, by completing the following steps: Calculate the sample difference in proportions, . Calculate a 99% confidence interval for the difference in the population proportions, . d. In terms a non-statistics person would understand, interpret your 99% confidence interval, explaining what it tells us about the proportions of Republicans and Democrats who would answer "Yes" to the question. O 6. A randomly selected group of 50 adults, all aged 50 and over, were assigned to a fitness program involving both diet and prescribed exercise. After 3 months on this program, the following table summarizes the weight loss among the 50 adults, 17 of them male and 33 of them female. Sample Average Sample Standard Sample Size Deviation Men 4.8 kg 1.1 kg 17 Women 5.5 kg 1.6 kg 33 (15 pts) a. Write the null and alternative hypothesis for deciding: is the population mean weight loss for men less than the population mean weight loss for women? English sentence: Symbolic: HA: English sentence: Symbolic:Calculate a 99% condence interval for the difference in the population proportions, . d. In terms a non-statistics person would understand, interpret your 99% condence interval, explaining what it tells us about the proportions of Republicans and Democrats who would answer \"Yes\" to the question. 6. A randomly selected group of 50 adults, all aged 50 and over, were assigned to a tness program involving both diet and prescribed exercise. After 3 months on this program, the following table summarizes the weight loss among the 50 adults, 17 of them male and 33 of them female. Sample Average Sample Standard Sample Size Deviation Men 4.8 kg 1.1 kg 17 Women 5.5 kg 1.6 kg 33 (1 5 pts) a. Write the null and alternative hypothesis for deciding: is the population mean weight loss for men less than the population mean weight loss for women? H0: English sentence: Symbolic: H A: English sentence: Symbolic: b. Calculate the pvalue for your hypothesis test. Should the null hypothesis be rejected or kept? You may use a 5% level of signicance. c. Explain your decision in terms a non-statistics person would understand. Final - Math 1080 Spring 2022 p