Statistics Bootstrap Distributions Assignment Create and analyze two bootstrap distributions using the data in the table below. A recent study examined the effect of diet cola consumption on calcium levels in women. A sample of 16 healthy women aged 18 - 40 were randomly assigned to drink 24 ounces of either diet cola or water. Their urine was collected for three hours after ingestion of the beverage and calcium excretion (in mg) was measured. The researchers were investigating whether diet cola leaches calcium out of the system, which would increase the amount of calcium in the urine for diet cola drinkers. The data are given below and are stored in the ColaCalcium data set. Diet Cola Water 1 50 1 48 2 62 2 46 3 48 3 54 4 55 4 45 5 58 5 53 6 61 6 46 7 58 7 53 8 56 8 48 Xw 1. By hand, find 10 bootstrap samples for diet cola and for water and sketch a dotplot showing the means of the samples. Also indicate the mean of the original data and the samples. Diet Cola Bootstrap Samples. Sample Data 1 Data 2 Data 3 Number Data 4 Data 5 Data 6 Data 7 Data 8 Sample Mean=Xn Random #s Random #s 2 Random #s 3 Random #s 4 Random #s 5 Random #s 6 Random #s 7 Random #s 8 Random #s 9 Random #s 10 Diet Cola Bootstrap Dotplot (Use Statkey: One Quantitative Variable)

The weight of a car can influence the mileage that the car can obtain. A random sample of 19 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below. X, weight Y, mileage 2250 38.9 4500 17 4000 23.1 4500 19.5 3500 31.3 3500 31.3 3500 32.6 4000 23.4 4500 17.2 3500 28 5500 13.2 3500 28 2250 41.1 2500 40.9 2250 53.3 4000 23.6 3000 31.4 2750 46.9 3000 31.5 a) The symbol and value of the correlation coefficient are as follows:     Round final answer to 2 decimal places.     Select an answer r R² ρ ŷ y p̂ X̄ p μ σ s  =      Interpret this value: There is a strong Select an answer positive negative  Select an answer linear quadratic bell-shaped uniform  relation between weight and mileage for cars. b) The symbol and value of the coefficient of determination are as follows:     Round final answer to 2 decimal places.     Select an answer r r² ρ ŷ y p̂ X̄ p μ σ  =       Interpret this value: About…

A manufacturer of exercise equipment wanted to collect data on the effectiveness of their equipment. A magazine article compared how long it would take men and women to burn 200 calories during light or heavy workouts on various kinds of exercise equipment. The results summarized in the accompanying table are the average times for a group of physically active young men and women whose performances were measured on a representative sample of exercise equipment. Assume normality of the population. Complete parts (a) through (c) below. Click the icon to view the data table. C a) On average, how many minutes longer than a man must a woman exercise at a light exertion rate in order to burn 200 calories? Find a 95% confidence interval. minutes (Round to one decimal place as needed.) b) Estimate the average number of minutes longer a woman must work out at a light exertion than at heavy exertion to get the same benefit. Find a 95% confidence interval. (₁) minutes (Round to one decimal place…

You may need to use the appropriate technology to answer this question. A certain manufacturer is a producer of aluminum components for the avionics and automotive industries. At its plant, an engineer has conducted a quality-control test in which aluminum coils produced in all three shifts were inspected. The study was designed to determine if the population proportion of good parts was the same for all three shifts. Sample data follow.   Production Shift Quality First Second Third Good 282 364 172 Defective 18 36 28 (1) Using a 0.05 level of significance, conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts. State the null and alternative hypotheses. A) H0: p1 = p2 = p3 Ha: Not all population proportions are equal. B) H0: p1 ≠ p2 ≠ p3 Ha: All population proportions are equal.     C) H0: At least two population proportions are equal. Ha: p1 ≠ p2 ≠ p3 D) H0: Not all population proportions are equal. Ha: p1 =…