A political organization with 100,000 members takes a simple random sample of 1,000 members and asks for their annual income in 2018. The sample average is $25,000, with a standard deviation of $20,000. 30% of the sampled members reported incomes over $50,000. A box model will be used to estimate the percentage of all the members in the organization with incomes over $50,000. Required:
a. The histogram of the incomes in the sample approximately follows the normal curve. Explain your answer.
b. The probability histogram of sample percentage of members with incomes over $50,000 approximately follows the normal curve. Explain your answer.
c. Calculate a 95%-confidence interval for the percentage of all members with incomes over $50,000.

What is the difference between the points (4, 7) and (4, -5)? a. 0 units b. 2 units c. 4 units d. 12 units

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --

Find the values of the variables and the lengths of the sides of this kite.