Each year, a magazine publishes a list of the richest people in a country. In the last year's issue, the six richest people and their wealth (to the nearest billion dollars) are as shown in the following table. Consider these six people a population of interest. Complete parts (a) through (e) below. Click the icon to view a list of the six richest people. a. Calculate the mean wealth, µ, of the six people. H=$ billion (Round to one decimal place as needed.) b. For samples of size 2, construct a table of all possible samples and their sample means. Wealths 66, 61 Sample B, C Wealths 61, 42 Wealths 42, 37 A, C 66, 42 B, D 61, 37 42, 34 A, D 66, 37 B, E 61, 37 37, 37 A, E 66, 37 B, F 61, 34 37, 34 A, F 66, 34 C, D 42, 37 37, 34 (Type integers or decimals. Do not round.) Sample A, B X X Sample C, E C, F D, E D, F E, F X Richest People Person amoa - - A B ? D E F Print Wealth D billions) 66 61 42 37 37 34 Done I X
a. Calculate the mean wealth, ?, of the six people. ?=$ billion (Round to one decimal place as needed.) b. For samples of size 2, construct a table of all possible samples and their sample means. Wealths Wealths Sample B, C Wealths 61, 42 66, 61 66, 42 B, D 61, 37 66, 37 B, E 61, 37 A. E 66, 37 B, F 61,34 A, F 66, 34 C, D 42, 37 (Type integers or decimals. Do not round.) c. Draw a dotplot for the sampling distribution of the sample mean for samples of size 2. O A. Q Sample A, B A, C A, D O C. X 30 35 40 45 50 55 60 65 30 35 40 45 50 55 60 65 Q Q X Sample C, E C, F D, E D, F E, F 42, 37 42, 34 37, 37 37, 34 37, 34 X d. For a random sample of size 2, what is the chance that the sample mean will equal the population mean? The probability is (Round to three decimal places as needed.) OB. O D. 30 35 40 45 50 55 60 65 70 30 35 40 45 50 55 60 65 Q Q Q
Complete parts (a) and (b) for the population data below. 1, 3, 5 Click the icon to view a list of the sample means for each of the possible samples. a. Use the sample means to determine the population mean, ?, of the variable x for each of the possible sample sizes. n 1 2 3 "x (Type integers or decimals. Do not round.) b. Use the population mean of x to determine the population mean, µ, of the variable x for each of the possible sample sizes. n Px 1 2 3 (Type integers or decimals. Do not round.) Sample Means Sample 1 3 5 1,3 1,5 3,5 1, 3, 5 Print X 1 -352343 Done X