14) A random sample of n= 100 observatons is drawn from a populaton with a mean equal to 23 and a standard deviation equal to 10. A) Give the mean and standard deviaton of the (repeated) sampling distribution x pic is for 14 15) The average salary for a certain profession is $99,000. Assume that the standard deviation of such salaries is $38,000. Consider a random sample of 77people in this profession and let x represent the mean salary for the sample.1 Click the icon to view the table of normal curve areas.a. What is M;?b. What is o;?* =(Round to two decimal places as needed.)c. Describe the shape of the sampling distribution of xO A. The shape is that of a poisson distribution.O B. The shape is that of a binomial distribution.O C. The shape is that of a normal distribution.O D. The shape is that of a uniform distribution.d. Find the z-score for the value = 59,000.2=(Round to two decimal places as needed.)e. Find P (x> 59,000) .P (x>59,000)(Round to three decimal places as needed.)25) The following data represent the responses (Y for yes and N for no) from a sample of 20 college students to the question"Do you currently own shares in any stocks?*N NY N N NY N Y NY NYNNNyyyya. Determine the sample proportion, p, of college students who own shares of stockb. If the population proportion is 0.35, determine the standard error of the proportion.a. D=(Round to two decimal places as needed.)(Round to four decimal places as needed.)27)A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 53% of the vote in the sample, that candidate will be forecast as the winner of the election.You select a random sample of 100 voters, Complete parts (a) through (c) below.A) Suppose that the sample size was increased to 400. Repeat process (a) through (c), using this new sample size. Comment on the differences. The probability is 0.1230 (Round to four decimal places as needed.) that a candidate will be forecast as the winner when the population percentage of her. The probability is ___ that a candidate will be for cast as the winner when the population percentage of her vote is 58%. O A. Increasing the sample size by a factor of 4 decreases the standard error by a factor of 2.Changing the standard error doubles the magnitude of the standardized Z-value.O B. Increasing the sample size by a factor of 4 decreases the standard error by a factor of 2.Changing the standard error decreases the standardized Z-value to half of its original value.C. Increasing the sample size by a factor of 4 increases the standard error by a factor of 2.Changing the standard error doubles the magnitude of the standardized Z-vatue.O D. Increasing the sample size by a factor of 4 increases the standard error by a tafi&n O 2.Changing the standard error decreases the standardized Z-value to half of its own value.

(Type integers or decimals.) b. Describe the shape of the sampling distribution of x. Does this answer depend on the sample size? Choose the correct answer below. O A. The shape is that of a normal distribution and depends on the sample size. O B. The shape is that of a uniform distribution and does not depend on the sample size. O C. The shape is that of a normal distribution and does not depend on the sample size. O D. The shape is that of a uniform distribution and depends on the sample size. c. Calculate the standard normal z-score corresponding to a value of x = 22.8. Z = (Type an integer or a decimal.) d. Calculate the standard normal z-score corresponding to a value of x = 25.2. Z = (Type an integer or a decimal.) e. Find P (x 25.2) . P (x > 25.2) = (Round to four decimal places as needed.) g. Find P (22.8