Question 1 2 points Save Answer A department store has determined that 36% of all their sales are credit sales. A random sample of 65 sales is selected. - Explain the distribution A. 0.2525 of the sample proportion of the credit card sales. B. Not Normal What is the probability that C. 0.5888 the sample proportion will be greater than 0.40? D. 0.7475 What is the probability that E. 0. 1587 the sample proportion will be less than 0.30? What is the probability that F. approximately Normal for large sample n ( np25 , n(1-p)25) the sample proportion will be between 0.30 and 0.40?Question 2 1.5 points Save Answer In a survey of 600 personnel directors, 40% thought that they would be hiring new personnel over the next three months. Construct a 97% confidence interval A. (0.357 , 0.443) for the proportion of all personnel directors planning to hire personnel B. 1265 over the next three months? What is margin of error used in (a)? C. 4.34% D. 0.43 Find the necessary sample size, if they wish to be accurate within 3% E. (3.57, 4.43) of the true proportion. F. 1256Question 3 5 points Save Answer A bank has kept records of the balances of its customers' account, which is normally distributed with the average daily balance of $500 and standard deviation of $50 Find the following : For a sample of 22 randomly selected accounts, what is the A. 0.0082 distribution of the sample mean? B. 22 For a sample of 22 randomly selected accounts , What is the mean of this distribution? C. I can answer all of them. D. Not Normal distribution For a sample of 22 randomly selected accounts , What is the E. I can answer the one where the sample size is 16 only. variance of this distribution? F. 36 For a sample of 22 randomly selected accounts, What is the standard deviation of this distribution? G. 0.80 H. 16 What is the probability that the sample mean of 16 1. 0.9998 randomly selected accounts will be more than $530? J. 0.7881 What is the probability that the sample mean of 16 randomly selected accounts will be less than $510? K. 10.66 What is the probability that the sample mean of 36 L. 500 randomly selected accounts will be between $510 and $530? M. Normal distribution If the population of the balances of customers' accounts is N. 113.64 not normally distributed, which, if any, of the questions above can you answer? 0. 0.9918 P. I can answer the one where the sample size is 36 only. Q. 0.1148Question 4 1.5 points Save Answer The number of television sets produced daily from an assembly line is normally distributed with a mean of 430 sets and standard deviation of 20 sets. For 30 randomly selected days of the production line: Construct a 95% confidence interval for A. 5.002 the population mean number of sets per hour? B. (420, 440) What is margin of error used in (a)? C. 7.16 What sample size should be taken so that a 95% confidence interval will have D. 1.96 a margin of error less than 16 sets per day? E. 7 F. (422.843,437.157)