Question

A random sample of size n = 80 is taken from a population with mean μ...

A random sample of size n = 80 is taken from a population with mean μ = -15.2 and standard deviation σ = 5.

What is the probability that the sample mean falls between -15 and -14? (Do not round intermediate calculations. If you use the z table, round "z" values to 2 decimal places. Round your final answer to 4 decimal places.

Homework Answers

Answer #1

Solution :

= / n = 5 / 80 = 0.5590

= P[(-15 - (-15.2)) / 0.5590 < ( - ) / < (-14 - (-15.2)) / 0.5590)]

= P(0.3578 < Z < 2.1467)

= P(Z < 2.1467) - P(Z < 0.3578)

= 0.9841 - 0.6398

= 0.3443

Probability = 0.3443

  

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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 size n = 186 is taken from a population of size N...
A random sample of size n = 186 is taken from a population of size N = 5,613 with mean μ = −65 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 is drawn from a population with mean μ = 53 and standard deviation...
A random sample is drawn from a population with mean μ = 53 and standard deviation σ = 4.4. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 13 and n = 38 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 13 will have...
A random sample is drawn from a population with mean μ = 64 and standard deviation...
A random sample is drawn from a population with mean μ = 64 and standard deviation σ = 5.3. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 17 and n = 34 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 17 will have...
A random sample is drawn from a population with mean μ = 52 and standard deviation...
A random sample is drawn from a population with mean μ = 52 and standard deviation σ = 4.3. a. Is the sampling distribution of the sample mean with n = 13 and n = 39 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 13 will have a normal distribution. No, only the sample mean with n...
A random sample of size n = 101 is taken from a population of size N...
A random sample of size n = 101 is taken from a population of size N = 2,719 with a population proportion of p = 0.67. [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 proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) b. What is the...
A random sample is drawn from a normally distributed population with mean μ = 30 and...
A random sample is drawn from a normally distributed population with mean μ = 30 and standard deviation σ = 2.3. [You may find it useful to reference the z table.] a. Are the sampling distribution of the sample mean with n = 35 and n = 76 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 35...
A random sample of size n = 52 is taken from a finite population of size...
A random sample of size n = 52 is taken from a finite population of size N = 515 with mean μ = 253 and variance σ2 = 398. [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.(Round “expected value” to a whole number and "standard error" to 4 decimal places.)
A random sample of size n=80 is taken from a population of size N = 600...
A random sample of size n=80 is taken from a population of size N = 600 with a population proportion p = 0.46. What is the probability that the sample mean is less than 0.40? Please provide an answer with 3 decimal points.
A random sample of size n = 75 is taken from a population of size N...
A random sample of size n = 75 is taken from a population of size N = 650 with a population proportion p = 0.60. Is it necessary to apply the finite population correction factor? Yes or No? Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) What is the probability that the sample proportion is less than 0.50? (Round “z” value to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT