Question: A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)If you take a sample of size 10,

A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21.

a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample mean is?Why?

b.)For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean.

c.)For a sample of size 10, find the probability that the sample mean is more than 241.

d.)For a sample of size 35, state the mean of the sample mean and the standard deviation of the sample mean.

e.)For a sample of size 35, find the probability that the sample mean is more than 241.

f.)Compare your answers in part c and f.Why is one smaller than the other?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

6.5.2 A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample...

Q:

1)))A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample...

Q:

6.5.2 A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample...

Q:

1)))A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample...

Q:

Question 7(10 points) A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013).Assume the life of a dishwasher is normally...

Q:

A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample mean...

Q:

A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample mean...

Q:

A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample mean...

Q:

A random variable is normally distributed.It has a mean of 245 and a standard deviation of 21. If you take a sample of size 10, can you say what the shape of the distribution for the sample mean...

Q:

A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013).Assume the life of a dishwasher is normally distributed. a.)State the...

Q:

The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. (b) ) dx y=f(x) 6. 8.

Q:

You are engaged in the audit of Phoenix Corp., a new client, at the close of its first fiscal year, April 30, 20X1. The accounts had been closed before the time you began your year-end fieldwork. You...

Q:

It is essential to calculate the precise value of a ratio to several decimal places to get a clear picture of organization's financial situation. Question 8 options: True False

Q:

Marcus is the accounting manager for hospital. While conducting annual reviews for the accounting department, he reflects on the team as a whole. Marcus is pleasantly surprised to realize that all of...