A company makes all its employees take a leadership test where a simple random sample of...
A company makes all its employees take a leadership test where a simple random sample of 25 employees is selected. Recall that the population of scores is normally distributed with mean of 145 and a population standard deviation of 20. Answer the following probability question for random samples like this.
(a) What is the mean of the distribution of means for all samples of this size? What standard error applies to the distribution of means for groups of this size?
(b) What is the probability that the average leadership score for this sample will be between 140 and 146?
(c) What is the probability that the average leadership score for this sample will be greater than 152?
(d) The sample's average leadership score corresponds to the lowest 12.30% of all possible distributions. What is this score?
Homework Answers
Add Answer to:
A company makes all its employees take a leadership test where a
simple random sample of...
25 Anormal population - 0 - 8. A random sample and scores from 54 Wurthe-wore for...
25 Anormal population - 0 - 8. A random sample and scores from 54 Wurthe-wore for this sample is population has a mean of 24. A random sample of 4 scares is obtained from a mal population with probability of obtaining met greater than 22 for this sample! - 20 and a t West - 20 the following samples is deur likely to be obtained For normal perelation with a Band for a sample of n = 4 X- 5...
Scores on the SAT mathematics section have a normal distribution with mean 4-500 and standard deviation...
Scores on the SAT mathematics section have a normal distribution with mean 4-500 and standard deviation o=100. a. What proportion of students score above a 550 on the SAT mathematics section? Round your answer to 4 decimal places. b. Suppose that you choose a simple random sample of 16 students who took the SAT mathematics section and find the sample mean x of their scores. Which of the following best describes what you would expect? The sample mean will be...
1. Explain the relationship between sample size and standard error. 2. You have a normal population...
1. Explain the relationship between sample size and standard error. 2. You have a normal population with a u = 50 and o = 9. You obtain all possible random samples, each with n = 30, from this population and calculate each sample's mean. What will the average value of all the sample means be? a) 50 b) 5.56 c) 30.49 d) Cannot tell without more information 3. You are sampling from a distribution of scores that is positively skewed....
A simple random sample of 100 postal employees is used to test if the average time...
A simple random sample of 100 postal employees is used to test if the average time postal employees have worked for the postal service has changed from the value of 7.5 years recorded 20 years ago. The sample mean was x = 7 years with a standard deviation of s = 2 years. Assume the distribution of the time the employees have worked for the postal service is approximately Normal. The hypotheses being tested are H0: ! = 7.5 versus...
4. (10 points) The Graduate Record Examination (GRE) test scores x are normally distributed this year....
4. (10 points) The Graduate Record Examination (GRE) test scores x are normally distributed this year. The mean test score is 200 and the standard deviation is 10. Random test scores samples of size 30 are drawn. (a.) Calculate the mean and standard deviation of sampling distribution of sample means. Show all work. o mean = standard deviation = isiq Sabit to o lodowa (b.) Find the probability that the mean of a sample is less that 180. Show all...
QUESTION 1 We can create a distribution of sample means by selecting all possible random samples...
QUESTION 1 We can create a distribution of sample means by selecting all possible random samples of the same size from the population. a. True b. False QUESTION 3 If you select a sample of size 100 from a population of raw scores and construct a distribution of sample means, what shape will the distribution of samples means have? a. left skewed b. right skewed c. approximately normal d. more information is needed about the shape of the population of...
5. MNM Corporation gives each of its employees an aptitude test. The scores on the test...
5. MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500. a. What are the expected value, the standard deviation, and the shape of the sampling distribution of x? b. What is the probab]lity that the average aptitude test in the sample will be between 70.14 and 82.14?...
please show work 1) The distribution of sample means (for a specific sample size) consists of...
please show work
1) The distribution of sample means (for a specific sample size) consists of a. All the scores contained in the sample x b. All the scores contained in the population x C. All the samples means that could be obtained (for the specific sample size) d. The specific sample mean computed for the sample of scores 2) A sample of n=25 scores is determined to have a standard error of 2 points. What is the standard deviation...
To estimate the mean age for a population of 4000 employees, a simple random sample of...
To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. If the population standard deviation is 8.2 years, computer the standard error of the mean. (Round to one decimal place) Answer What is the probability that the sample mean age of the employees will be within 2 years of the population mean age? (Round to four decimal places) Answer
A simple random sample of 100 postal employees is used to test if the average time...
A simple random sample of 100 postal employees is used to test if the average time postal employees have worked for the postal service has changed from the value of 7.5 years recorded 20 years ago. The sample mean was = 7 years with a standard deviation of s = 2 years. Assume the distribution of the time the employees have worked for the postal service is approximately Normal. The hypotheses being tested are H0: μ = 7.5 versus Ha:...
25 Anormal population - 0 - 8. A random sample and scores from 54 Wurthe-wore for this sample is population has a mean of 24. A random sample of 4 scares is obtained from a mal population with probability of obtaining met greater than 22 for this sample! - 20 and a t West - 20 the following samples is deur likely to be obtained For normal perelation with a Band for a sample of n = 4 X- 5...
Scores on the SAT mathematics section have a normal distribution with mean 4-500 and standard deviation o=100. a. What proportion of students score above a 550 on the SAT mathematics section? Round your answer to 4 decimal places. b. Suppose that you choose a simple random sample of 16 students who took the SAT mathematics section and find the sample mean x of their scores. Which of the following best describes what you would expect? The sample mean will be...
1. Explain the relationship between sample size and standard error. 2. You have a normal population with a u = 50 and o = 9. You obtain all possible random samples, each with n = 30, from this population and calculate each sample's mean. What will the average value of all the sample means be? a) 50 b) 5.56 c) 30.49 d) Cannot tell without more information 3. You are sampling from a distribution of scores that is positively skewed....
4. (10 points) The Graduate Record Examination (GRE) test scores x are normally distributed this year. The mean test score is 200 and the standard deviation is 10. Random test scores samples of size 30 are drawn. (a.) Calculate the mean and standard deviation of sampling distribution of sample means. Show all work. o mean = standard deviation = isiq Sabit to o lodowa (b.) Find the probability that the mean of a sample is less that 180. Show all...
5. MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500. a. What are the expected value, the standard deviation, and the shape of the sampling distribution of x? b. What is the probab]lity that the average aptitude test in the sample will be between 70.14 and 82.14?...
please show work
1) The distribution of sample means (for a specific sample size) consists of a. All the scores contained in the sample x b. All the scores contained in the population x C. All the samples means that could be obtained (for the specific sample size) d. The specific sample mean computed for the sample of scores 2) A sample of n=25 scores is determined to have a standard error of 2 points. What is the standard deviation...
Most questions answered within 3 hours.
-
Rice Products in Bangladesh
Business behavior is derived in large part from the basic cultural
environment...
asked 10 minutes ago -
The following base sequence is found for a mRNA fragment from
wild-type E. coli: 5'- UAUCAGUAGAUAAUGUAACC-3'...
asked 33 minutes ago -
For this exercise, round all regression parameters to three
decimal places.
One of the two tables...
asked 52 minutes ago -
What is the 5% level of significance for mean = 3.60, standard
deviation = 0.94, and...
asked 56 minutes ago -
Prior to beginning work on this discussion, please read the
article by Hayley Peterson, 15 Companies...
asked 1 hour ago -
Which pair of aqueous solutions, when mixed, will form a
precipitate?
A) NaNO3 and AgC2H3O2
B)...
asked 1 hour ago -
1-Write an algorithm to get two numbers from the user (as
inputs) and calculate the sum...
asked 5 hours ago -
Define white-collar crime. What is the difference between
offender and offense-based definitions of white-collar crime? What...
asked 5 hours ago -
Consider a reaction which is 1st order with respect to A and 1st
order with respect...
asked 5 hours ago -
c++
The length of the hypotenuse of a right-angled triangle is the
square root of the...
asked 6 hours ago -
When a metal rod is heated, not only its resistance but also its
length and cross‐sectional...
asked 6 hours ago -
write a c++ program that computes the L^1 - Norm of a given
vector (L^1 norm...
asked 6 hours ago