A population has a mean of 300 gallons with a standard deviation of 50. Suppose a single...

Question

Question

A population has a mean of 300 gallons with a standard deviation of 50. Suppose a single random sample of size 100 is selected.

1. What is the probability that the sample mean will be within + 5 of the population mean?

8. Z @ UCL = _____ ?

9. Z @ LCL = _____ ?

math Statistics-And-Probability

Answer 1

Answer #1

ANSWER::

Here it is normally distributed with mean=300 and sd=50

Now z(295)=(295-300/(50/10))=-1

Z(305)=(305-300/5)=1

So required probability is P(-1<z<1)=0.6827

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU

Answer 2

Similar Homework Help Questions

A population has a mean of 300 and a standard deviation of 60. Suppose a sample...

A population has a mean of 300 and a standard deviation of 60. Suppose a sample of size 100 is selected and is used to estimate . Use z-table. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)? What is the probability that the sample mean will be within +/- 12 of the population mean (to 4 decimals)?
A population has a mean of 400 and a standard deviation of 50. Suppose a sample...

A population has a mean of 400 and a standard deviation of 50. Suppose a sample of size 100 is selected and I is used to estimate u. Use z-table. a. What is the probability that the sample mean will be within +9 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +13 of the population mean (to 4 decimals)? A population proportion is 0.3. A sample of size 300...
A population has a mean of 200 and a standard deviation of 50.Suppose a random...

A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within +/- 5 of the population mean? Hint: use the z-score.

A population has a mean of 300 and a standard deviation of 70. Suppose a sample...

A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate What is the probability that the sample mean will be within +/- 3 of the population mean (to 4 decimals)? What is the probability that the sample mean will be within +/- 12 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
A population has a mean of 300 and a standard deviation of 70. Suppose a sample...

A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 125 is selected and (x-bar) is used to estimate (mu) . Use z-table. A. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)? B. What is the probability that the sample mean will be within +/- 16 of the population mean (to 4 decimals)?
A population has a mean of 300 and a standard deviation of 80. Suppose a sample...

A population has a mean of 300 and a standard deviation of 80. Suppose a sample of size 10 is selected and x̅ is used to estimate . Use z-table. a. What is the probability that the sample mean will be within +/-4 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +/- 13of the population mean (to 4 decimals)?

A population has a mean of 300 and a standard deviation of 80. Suppose a sample...

A population has a mean of 300 and a standard deviation of 80. Suppose a sample size 100 is selected and is used to estimate u. Use z-table. a. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) .55 b. What is the probability that the sample mean will be within +/- 11 of the population mean (to 4...
A population has a mean of 200 and a standard deviation of 90. Suppose a sample...

A population has a mean of 200 and a standard deviation of 90. Suppose a sample of size 100 is selected and X-Bar is used to estimate. Use z-table. A. What is the probability that the sample mean will be within +/- 9 of the population mean (to 4 decimals)? B. What is the probability that the sample mean will be within +/- 16 of the population mean (to 4 decimals)?
Video A population has a mean of 200 and a standard deviation of 80 . Suppose a sample of size 10...

Video A population has a mean of 200 and a standard deviation of 80 . Suppose a sample of size 100 is selected and is used to estimate μ. Use z-table. a. What is the probability that the sample mean will be within +9 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) b. What is the probablity that the sample mean will be within 13 of the population mean (to 4...

a population has a mean of 200 and a standard deviation of 60. suppose a sample...

a population has a mean of 200 and a standard deviation of 60. suppose a sample of size is 100 is selected and sample mean is used to estimate the mean. Use z table. a. what is the probability that the sample mean will be within +/-7 of the population mean (to 4 decimals) b. what is the probability that the sample mean will be within +/-16 of the population mean (to 4 decimals) round z value in intermediate calculations...