I need help with 1 - 14. Sorry the pictures are not in order. Thank you!

. A population has mean 16 and standard deviation 1.7. The mean of X for samples of size 80 is (a) 16 b) 20 c) 19 d) 18 . A population has mean 16 and standard deviation 1.7. The standard deviation of X' for samples of size 80 is (a) 0.1901 b) 0.1009 c) 1.901 cl) 0.1221 . We select a random sample oi 39 observations from a population with mean 81 and standard deviation 5.5 The probability that the sample mean is more than 83 is roughly. (a) 0.0501 b) 0.0714 0) 02315 d) 0.0116 . The number of gallons of carbonated soft drink oonsumed per person annually is nor- mally distributed with mean 47.5 and standard deviation 3.5. Twentyive people are selected at random. The probability that the average number of gallons of carbonated soft drink they each consume per year is between 45 and 50 gallons is about (a) .6723 b) .5222 c) .3571 d) 1.0000 . Suppose that in one region of the country the mean amount of credit card debt per household in households having credit card debt is $15,250 with standard deviation $7,125 The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly Page 0H 7. Suppose that 29% of all rodents of a. community favor annexation by a near by municipality. The probability that in a random sample of 50 residents at least 31% will favor annexation is roughlyr (a) This probability cannot be computed as the sample is not sufciently large to use the normal distribution (b) 0.00 (c) .378 (d) .175 8. A humane society reports that 19% of all pet dogs were adopted from an animal shelter. Assuming the truth of this assertion, nd the probability that in a random sample of 80 per dogs, between 15% and 20% were adopted from a shelter. You may assume that the normal distribution applies. (a) 0.691 b) 0.346 c) 0.557 d) 0.409 9. A state insurance commission estimates that 13% of all motorists in its state are uninsured. Suppose this proportion is valid. Find the probability that in a random sample of 50 motorists, at least 5 will be uninsured. You may assume that the normal distribution applies. (a) 0.644 b) 0.760 c) 0.356 d) 0.655 10. Measurement of the waiting time of 45 randomly selected patients at a hospital emer- gency room gave mean and sample standard deviations 11.3 and 6.5 minutes. A 90% Dondence interval for the mean waiting time of all patients is 6.5 (a) 11.3i (2.015) (E) (b) 11,3:l: (1.960) (3435) (0) 11.3:l: (1.645) (3435) (cl) 11.3:l: (1.679) (3435) 11. To estimate the mean retail price of designer jeans, a buyer sampled 19 retailers in New York City and recorded the selling price of the jeans. The following statistics were reported: a? = 51.75 dollars, and s = 550 dollars. Assuming the prices at di'erent retailers are normally distributed, a 99% condence interval for the mean is closest to: Page 0H 11. To estimate the mean retail price of designer jeans, 3 buyer sampled 19 retailers in New York City and recorded the milling price of the jeans. The following statistiw were reported: 5? : 51.75 dollars, and s : 5.50 dollars. Assuming the prices at dierent retailers are normally distributed, a. 99% condence interval for the mean is closest to: (a) (47.12, 56.38) (b) (48.50, 55.00) (c) (47.49, 560]) (d) (43.12, 55.38) 12. Suppose you have a sample of size 100 with mean 5 and standard deviation 2. Construct a 95% condence interval for the population mean. (a) (4.603, 5.392) (b) (4.485, 5.515) (c) (4.744, 5.256) (d) (4.671, 5.329) 13. Fifty randomly selected individuals were timed completing a. tax form. The smnple mean was 23.6 minutes; the sample standard deviation was 2.4 minutes. A 99% Cone denoe interval for the mean time required by all individuals to compete the form is about: fal235+91 h1236+92 nl23+ rll 236+.RT l3. Fifty randomly selected individuals were timed completing a. tax form. The sample mean was 23.6 minutm; the sample standard deviation was 2.4 minutes. A 99% Con dence interval for the mean time required by all individuals to compete the form is about: (a) 23.6 :h .91 b) 2313 :E .92 c) 2313 :E .85 d) 23.6 :E .87 14. You randomly select 16 restaurants and measure the temperature of the oolfee sold at each. The sample mean temperature is 162 degrees with a standard deviation of 10 degrees. Assuming that the temperature is approximately normally distributed, a 95% mndence interval for the mean temperature '15 (a) (156.7, 167.3) (b) (172.6, 182.9) (1:) (144.7, 156.5) (d) (171.5, 181.3)