how do i answer these
The average salary for a certain profession is $62,500. Assume that the standard deviation of such salaries is $36,500. Consider a random sample of 51 people in this profession and let x represent the mean salary for the sample. 5 Click the icon to view the table of normal curve areas. a. What is \"i? pi = 62500 b. What is 6i? 5i = D (Round to two decimal places as needed.) A random sample of n = 36 observations is drawn from a population with a mean equal to 19 and a standard deviation equal to 18. Complete parts a through g below. a. Give the medi anu Standard deviation of The (repeated) sampling distribution x. U- = 19 0- = 3 (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 does not depend on the sample size. B. The shape is that of a normal distribution and depends on the sample size. O C. The shape is that of a uniform 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 = 12.4. z= - 2.2 (Type an integer or a decimal.) d. Calculate the standard normal z-score corresponding to a value of x = 22.3. Z = (Type an integer or a decimal.)According to a social media blog, time spent on a certain social networking website has a mean of 22 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 4 minutes. Complete parts (a) through (d) below. a. If you select a random sample of 36 sessions, what is the probability that the sample mean is between 21.5 and 22.5 minutes? 0.549 (Round to three decimal places as needed.) b. If you select a random sample of 36 sessions, what is the probability that the sample mean is between 21 and 22 minutes? 0.4332 (Round to three decimal places as needed.) 0. If you select a random sample of 144 sessions, what is the probability that the sample mean is between 21.5 and 22.5 minutes? D (Round to three decimal places as needed.) Given a normal distribution with p = 51 and 0': 8. and given you select a sample of n = 100, complete parts (a) through (d). a. What is the probability that )2 is less than 49? P()_( 51.1)=|:| (Type an integer or decimal rounded to four decimal places as needed.) The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.73 inches and a standard deviation of 0.03 inch. A random sample of 10 tennis balls is selected. Complete parts (a) through (d) below. Samples of size To will be the union uIStoulon. B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will also be approximately normal. O C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 cannot be found. O D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will not be approximately normal. b. What is the probability that the sample mean is less than 2.71 inches? P(X
