Question

A random sample of size n=16 is take from a normal population with μ=40 and σ2=32....

A random sample of size n=16 is take from a normal population with μ=40 and σ2=32. Find the probability that the sample mean is greater than or equal to 38.

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

Homework Answers

Answer #1

                        

                         = P(Z > -1.41)

                         = 1 - P(Z < -1.41)

                         = 1 - 0.0793

                         = 0.9207

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
A random sample of size n = 241 is taken from a population of size N...
A random sample of size n = 241 is taken from a population of size N = 5,588 with mean μ = −68 and variance σ2 = 183. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)...
A random sample of n = 25 is selected from a normal population with mean μ...
A random sample of n = 25 is selected from a normal population with mean μ = 101 and standard deviation σ = 13. (a) Find the probability that x exceeds 108. (Round your answer to four decimal places.) (b) Find the probability that the sample mean deviates from the population mean μ = 101 by no more than 3. (Round your answer to four decimal places.)
Suppose that we take a random sample of size n from a population having a mean...
Suppose that we take a random sample of size n from a population having a mean μ and a standard deviation of σ. What is the probability or confidence we have that our sample will be within +/- 1 of the population mean μ? (a) μ = 10, σ = 2, n = 25
Suppose we take a random sample X1,…,X6 from a normal population with an unknown variance σ2...
Suppose we take a random sample X1,…,X6 from a normal population with an unknown variance σ2 and unknown mean μ. Construct a two-sided 99% confidence interval for μ if the observations are given by 2.59,0.89,2.69,0.04,−0.26,1.31
A random sample is obtained from a population with a variance of σ2=200, and the sample...
A random sample is obtained from a population with a variance of σ2=200, and the sample mean is computed to be x̅c=60. Test if the mean value is μ=40. Test the claim at the 10% significance (α=.10). Consider the null hypothesis H0: μ=40 versus the alternative hypothesis H1:μ≠40 The distribution of the mean is normal N = 100.
A random sample of n = 25 is selected from a normal population with mean μ...
A random sample of n = 25 is selected from a normal population with mean μ = 102 and standard deviation σ = 11. (a) Find the probability that x exceeds 107. (Round your answer to four decimal places.) (b) Find the probability that the sample mean deviates from the population mean μ = 102 by no more than 2. (Round your answer to four decimal places.) You may need to use the appropriate appendix table or technology to answer...
A simple random sample of size n=40 is obtained from a population with μ = 50...
A simple random sample of size n=40 is obtained from a population with μ = 50 a n d σ = 4. Does the population distribution need to be normally distributed for the sampling distribution of x ¯ to be approximately normally distributed? Why or why not? What is the mean and standard deviation of the sampling distribution?
Suppose a random sample of n = 16 observations is selected from a population that is...
Suppose a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 102 and standard deviation equal to 10. a) Give the mean and the standard deviation of the sampling distribution of the sample mean x. mean = standard deviation = b) Find the probability that x exceeds 106. (Round your answer to four decimal places.) c) Find the probability that the sample mean deviates from the population mean μ...
Random samples of size n were selected from a normal population with the means and variances...
Random samples of size n were selected from a normal population with the means and variances given here. n = 25, μ = 12, σ2 = 9 Describe the shape of the sampling distribution of the sample mean. a. The distribution is normal b. The distribution is skewed left c. The distribution is bimodal d. The distribution is uniform e. The distribution is skewed right Find the mean and the standard error of the sampling distribution of the sample mean....
A random sample of size n1 = 25, taken from a normal population with a standard...
A random sample of size n1 = 25, taken from a normal population with a standard deviation σ1 = 5.2, has a sample mean = 85. A second random sample of size n2 = 36, taken from a different normal population with a standard deviation σ2 = 3.4, has a sample mean = 83. Test the claim that both means are equal at a 5% significance level. Find P-value.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT