Question

The amounts of time employees of a telecommunications company have worked for the company are normally...

The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.6 years and a standard deviation of 1.9 years. Random samples of size 28 are drawn from the population and the mean of each sample is determined. Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution.

​(Round to two decimal places as needed​).

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 5.6

standard deviation = = 1.9

n = 28

sample distribution of sample mean is ,

=

= 5.6

sampling distribution of standard deviation

=  / n = 1.9 / 28

= 0.36

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The heights of fully grown trees of a specific species are normally​ distributed, with a mean...
The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 61.0 feet and a standard deviation of 6.00 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is ?. The standard error of the sampling distribution is ?
The heights of fully grown trees of a specific species are normally​ distributed, with a mean...
The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 62.062.0 feet and a standard deviation of 6.756.75 feet. Random samples of size 1616 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is mu Subscript x overbarμxequals=nothing. The standard error of the sampling distribution is sigma...
The heights of fully grown trees of a specific species are normally​ distributed, with a mean...
The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 72.5 feet and a standard deviation of 7.50 feet. Random samples of size 15 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.
The amounts of time employees at a large corporation work each day are normally​ distributed, with...
The amounts of time employees at a large corporation work each day are normally​ distributed, with a mean of 7.8 hours and a standard deviation of 0.36 hour. Random samples of size 25 and 37 are drawn from the population and the mean of each sample is determined. What happens to the mean and the standard deviation of the distribution of sample means as the size of the sample​ increases? If the sample size is nequals25​, find the mean and...
The heights of fully grown trees of a specific species are normally​ distributed, with a mean...
The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 78.5 feet and a standard deviation of 7.50 feet. Random samples of size 17 are drawn from the population. Use the central limit theorem​ (CLT) to find the mean and standard error of the sampling distribution. The mean of the sampling distribution is mu Subscript x overbarequals nothing. The standard error of the sampling distribution is Ooverbarre is
The amounts of time employees at a large corporation work each day are normally​ distributed, with...
The amounts of time employees at a large corporation work each day are normally​ distributed, with a mean of 7.7 hours and a standard deviation of 0.36 hour. Random samples of size 22 and 37 are drawn from the population and the mean of each sample is determined. What happens to the mean and the standard deviation of the distribution of sample means as the size of the sample​ increases? 1.If the sample size is n=22 find the mean and...
The central limit theorem states that: Populations with more than 30 observations are approximately normally distributed....
The central limit theorem states that: Populations with more than 30 observations are approximately normally distributed. As the sample size increase, a sampling distribution will look more and more like the population. As long as the sample size collected is at least 30, the variable of interest will always be approximately normally distributed. A skewed-left population can never be a sampling distribution that is approximately normally distributed. For sufficiently large random samples, the sampling distribution of the sample mean is...
Phone bills for residents of Shangri-La are normally distributed, with a mean of 98.75 gold coins...
Phone bills for residents of Shangri-La are normally distributed, with a mean of 98.75 gold coins and a standard deviation of 10.21 gold coins. Random samples of 48 phone bills are drawn from the population and the mean of each sample is determined.  Find the standard error of the mean of the indicated sampling distribution
The annual salary for one particular occupation is normally​ distributed, with a mean of about ​$127,000...
The annual salary for one particular occupation is normally​ distributed, with a mean of about ​$127,000 and a standard deviation of about ​$17,000. Random samples of 38 are drawn from this​ population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means.​ Then, sketch a graph of the sampling distribution.
the weight of people in a certain population are normally distributed with a mean of 158...
the weight of people in a certain population are normally distributed with a mean of 158 lbs and a standard deviation of 24lbs. find the the mean and standard error of the mean for this sampling distribution when using random samples of size 5