The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,041. A sample of 63 people is selected at random from those living in the city.
Find the probability that the mean income of the sample is within $500 of the population mean.
Round your answer to 4 decimal places.

The mean salary of people living in a certain city is $37,500 with a standard deviation...
9) The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
The mean salary of people living in a certain city is $37500 with a standard deviation of $1589. A sample of 46 people is selected at random from those living in the city. Find the probability that the mean income of the sample is less than $38000.
The average salary for a certain profession is $78,000. Assume that the standard deviation of such salaries is 32,000.Consider a random sample of 68 people in this profession and let x over bar x represent the mean salary for the sample. e. Find Px>69,500. (Round to three decimal places as needed.)
69% of people living in a certain city are opposed to the use of a guard camera. A random sample of 178 people from a population of 15,000 is obtained. The 178 people are asked to think about the use of a watchdog. If p^ the proportion of the sample that says it opposes, what is the mean of the sample distribution of p^? (result to two decimal places)
The average salary for a certain profession is $78,000. Assume that the standard deviation of such salaries is 32,000.Consider a random sample of 68 people in this profession and let x over bar x represent the mean salary for the sample. d. Find the z-score for the value x overbar x=69,500. z=_________(Round to two decimal places as needed.)
Annual income: The mean annual income for people in a certain city in thousands of dollars) is 41, with a standard deviation of 35. A pollster draws a sample of 91 people to interview. Part 1 of 5 (a) What is the probability that the sample mean income is less than 37? Round the answer to at least four decimal places. The probability that the sample mean income is less than 37 is Part 2 of 5 (b) What is...
PART 1 Let X represent the average age of people living in Sun City. Assume that X has a normal probability distribution with μ=72 years and σ=10 years. You intend to measure a random sample of n=51 people. What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 2 decimal places.) σ¯x= PART 2 In a...
The average salary for a certain profession is $78,000.Assume that the standard deviation of such salaries is 32,000.Consider a random sample of 68 people in this profession and let x overbarx represent the mean salary for the sample. What is sigma Subscript x overbar σx? sigma Subscript x overbar σx=_______(Round to two decimal places as needed.)
5.4.1 Question Help A population has a mean = 141 and a standard deviation o = 28. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 40. The mean is :-), and the standard deviation is 0;=0 (Round to three decimal places as needed.) 5.4.2 Question Help A population has a meanu - 74 and a standard deviation = 8. Find the mean and standard deviation of a sampling distribution of...
Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What are the mean and standard deviation of the sampling distribution? (b) What is the approximate probability that will be within 0.3 of the population mean u? (Round your answer to four decimal places.) (c) What is the approximate probability that will differ from u by more than 0.7? (Round your answer to four decimal places.)