Question: A normal distribution has a mean of = 54 and a standard deviation of = 6. a. What is the probability of randomly

A normal has a mean of µ = 54 and a standard deviation of σ = 6.
a. What is the probability of randomly selecting a score less than X = 51?
b. What is the probability of selecting a sample of
n = 4 scores with a mean less than µ = 51?
c. What is the probability of selecting a sample of
n = 36 scores with a mean less than µ = 51?

Step by Step Solution

★★★★★

3.43 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a z 050 and p 03... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

568-M-S-V-A (1408).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A population of scores forms a normal distribution with a mean of = 40 and a standard deviation of = 12. a. What is the probability of randomly selecting a score less than X = 34? b. What is the...

A normal distribution has a mean of = 70 and a standard deviation of = 8. For each of the following scores, indicate whether the tail is to the right or left of the score and find the proportion of...

A normal distribution has a mean of = 30 and a standard deviation of = 12. For each of the following scores, indicate whether the body is to the right or left of the score and find the proportion...

The dispute resolution spectrum includes looking at ____________, _______________ and ________________. Question 5 options: power, costs and interests power, rights and costs power, rights and...

1. Suppose a continuous random variableXis uniformly distributed between25 and 60. (a) Draw the graph of the uniform density function. (b) What is the probability that a randomly selected value will...

8. A normal distribution has a mean of =54 and a standard deviation of =6 Standard Normal Distribution Mean=0.0 What is the probability of randomly selecting a score less than X=51? p= What is the...

3. A sample of n = 25 scores has a mean of M = 68. Find the z-score for this sample: a. If it was obtained from a population with = 60 and = 10 b. If it was obtained from a population with = 60 and =...

A normal distribution has a mean of 54 and a standard deviation of 6. What is the probability of randomly selecting a score less than X=51? p=? What is the probability of selecting a random sample of...

A normal distribution has a mean of = 54 and a standard deviation of = 6. a. What is the probability of randomly selecting a score less than X = 51? b. What is the probability of selecting a sample...

For 2012, the SAT math test had a normally distributed mean of 510 and a standard deviation of 115. The ACT math test had a normally distributed mean of 23 and standard deviation of 5.5. If one...

A couple plans to have 4 children. List the different outcomes according to the gender of each child. Assume that these outcomes are equally likely. 1. How many events are possible? 2. Find the...

SQL Server stores index information in the ..................... system table. A) sysindexes B) systemindexes C) sysind D) sysindexes

Bruce purchased new machinery for his business in August of the current tax year. The original cost of the machinery was $195,000. He had the following expenses related to the new machinery:...

An apprenticeship program trains people to become electricians. One of the requirements for entry into the apprenticeship program is possession of a high school diploma or GED. Applicants without a...

Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are decimal values, so the computational formula works well. 2 1 1 2 1 2 3

For the following scores, a. Sketch a scatter plot showing the six data points. b. Just looking at the scatter plot, estimate the value of the Pearson correlation. c. Compute the Pearson correlation....

For the following scores, a. Sketch a scatter plot and estimate the Pearson correlation. b. Compute the Pearson correlation. 1 1 2 3

Brett is a 26 year-old researcher at Texas Parks and Widlife. He makes 558,000 per vear. Your firm uses an end age of 95 and a top-down ratio of 77%. Brett has 1 kid and wants to have another. Hed...

(Complex annuity) Upon graduating from college 35 years ago, Dr. Nick Riviera was already thinking of retirement. Since then, he has made deposits into his retirement fund on a monthly basis in the...

The following table presents information on four different open-end mutual funds. Use the information in the table to answer the questions that follow. The mutual fund True or False: YoI True False...