Question

The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of...

The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.55 inches and a standard deviation of 0.06 inch. A random sample of 12

tennis balls is selected. Complete parts​ (a) through​ (d) below.

a. What is the sampling distribution of the​ mean?

A. Because the population diameter of tennis balls is approximately normally​ distributed, the sampling distribution of samples of size 12 will be the uniform distribution.

B. Because the population diameter of tennis balls is approximately normally​ distributed, the sampling distribution of samples of size 12will not be approximately normal.

C. Because the population diameter of tennis balls is approximately normally​ distributed, the sampling distribution of samples of size 12

will also be approximately normal.

D. Because the population diameter of tennis balls is approximately normally​ distributed, the sampling distribution of samples of size 12 cannot be found.

b) What is the probability that the sample mean is less than 2.53 ​inches?

​c) What is the probability that the sample mean is between 2.54 and 2.57 ​inches?

d) The probability is 63​% that the sample mean will be between what two values symmetrically distributed around the population​ mean?

The lower bound is _____ inches. The upper bound is ____inches.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.57 inches and a standard deviation of 0.05 inch. A random sample of 10 tennis balls is selected. What is the probability that the sample mean is less than 2.56 inches?= 0.2643 What is the probability that the sample mean is between 2.55 and 2.58 inches?= 0.6319 The probability is 65% that the sample mean will be between what two values symmetrically distributed around...
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.51 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. a. What is the probability that the sample mean is less than 2.49 inches? P(X < 2.49)=.0136 b. What is the probability that the sample mean is between 2.50 and 2.52 ?inches? P(2.50 < X < 2.52) d. The probability is 57 % that the sample...
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.73 inches and a standard deviation of 0.03 inch. A random sample of 12 tennis balls is selected. Complete parts (a) through (d) below What is the probability that the sample mean is between 2.72 and 2.74 inches? The probability is 71​% that the sample mean will be between what two values symmetrically distributed around the population​ mean?
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.52 inches and a standard deviation of 0.04 inch. A random sample of 11 tennis balls is selected . a. what is probability that sample mean is between 2.50 and 2.54 inches? Part 2 given a normal distributuon with m =104 and s= 10 and given you select a sample of n=4 2a. there is a 62% chance x bar is above what value?
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.75 inches and a standard deviation of 0.04 inch. A random sample of 10 tennis balls is selected. What is the probability that the sample mean is less than 2.74 ​inches?
Assume the diameter of tennis balls (under standard conditions) is normally distributed, with a mean diameter...
Assume the diameter of tennis balls (under standard conditions) is normally distributed, with a mean diameter of 6.7cm and a standard deviation of 0.12cm If the random variable described here is represented as X, then identify its type of distribution and write down the value(s) of its parameters then Calculate the probability using statistical tables that a randomly selected ball has a diameter less than 6.52cm.
A particular variable measured on the US population is approximately normally distributed with a mean of...
A particular variable measured on the US population is approximately normally distributed with a mean of 124 and a standard deviation of 20. Consider the sampling distribution of the sample mean for samples of size 1. Enter answers rounded to three decimal places. According to the empirical rule, in 95 percent of samples the SAMPLE MEAN will be between the lower-bound of ___ and the upper-bound of ___.
suppose that the distance of tennis balls hit outside of the court is normally distributed with...
suppose that the distance of tennis balls hit outside of the court is normally distributed with a mean of 230 feet and a standard deviation of 65 feet. We randomly sample 37 tennis balls hit. 1. What is the probability that the 37 tennis balls traveled an average of less than 220 feet? 2. Find the probability that the average of the 37 tennis balls hit was between 60 feet and 75 feet. 3. Find the 70th percentile of the...
The diameter of small Nerf bars manufactured overseas is expected to be approximately normally distributed with...
The diameter of small Nerf bars manufactured overseas is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a random sample of 20 balls are selected. What percentage of sample means will be less than 5.14 inches? A. 0.043% B. 22.66% C. 4.3% D. 0.00043%
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and...
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. Suppose 200 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Determine (a) the mean and standard deviation of the sampling distribution of X¯; (b) the number of sample means that fall between 171 and 177 cm.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT