Question

suppose a pop with an unknown dist has a mean of 8 and standard dev of...

suppose a pop with an unknown dist has a mean of 8 and standard dev of 3. a random sample size of 36 is selected

a. what is the probabilitg the sample mean is between 7.8 and 8.2

b. what is rhe probability the sample mean is greater than 8.2

Homework Answers

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 population has a mean of 75 and a standard deviation of 32. Suppose a random...
A population has a mean of 75 and a standard deviation of 32. Suppose a random sample size of 80 will be taken. 1. What are the expected value and the standard deviation of the sample mean x ̅? 2. Describe the probability distribution to x ̅. Draw a graph of this probability distribution of x ̅ with its mean and standard deviation. 3. What is the probability that the sample mean is greater than 85? What is the probability...
A random variable ?x has a Normal distribution with an unknown mean and a standard deviation...
A random variable ?x has a Normal distribution with an unknown mean and a standard deviation of 12. Suppose that we take a random sample of size ?=36n=36 and find a sample mean of ?¯=98x¯=98 . What is a 95% confidence interval for the mean of ?x ? (96.355,99.645)(96.355,99.645) (97.347,98.653)(97.347,98.653) (94.08,101.92)(94.08,101.92) (74.48,121.52)
A normal population has a mean of 77 and a standard deviation of 8. You select...
A normal population has a mean of 77 and a standard deviation of 8. You select a sample of 36. Use Appendix B.1 for the z-values. Compute the probability that the sample mean is: (Round the z-values to 2 decimal places and the final answers to 4 decimal places.) a. Less than 74. Probability b. Between 74 and 80. Probability c. Between 80 and 81. Probability d. Greater than 81. Probability
suppose a geyser has a mean time between 66 minutes. If the interval of the time...
suppose a geyser has a mean time between 66 minutes. If the interval of the time between the eruptions is normally distributed with standard deviation 16 minutes. what is the probability that a randomly selected time interval between eruptions is longer than 74 minutes? What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 74 minutes? What is the probability that a random sample of 16 time intervals between eruptions has...
A population has a mean of 50 and a standard deviation of 10. If a random...
A population has a mean of 50 and a standard deviation of 10. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a. Greater than 53 b. Less than 52 c. Less than 48 d. Between 46.5 and 53.5 e. Between 50.5 and 51.6
Problem 6. A random variable x has a Normal distribution with an unknown mean and a...
Problem 6. A random variable x has a Normal distribution with an unknown mean and a standard deviation of 12. Suppose that we take a random sample of size n = 36 and find a sample mean of "x-bar" = 98. What is a 95% confidence interval for the mean of x?
A population has a mean of 74 with a standard deviation of 9.8. a) What is...
A population has a mean of 74 with a standard deviation of 9.8. a) What is the probability that one element of the population selected at random is between 70 and 91?? b) What is the probability that a random sample of 36 from this population has a sample mean between 73 and 79?
Suppose x has a distribution with a mean of 20 and a standard deviation of 3....
Suppose x has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n = 36 are drawn. Is the sampling distribution of x normal? How do you know? What is the mean and the standard deviation of the sampling distribution of x? Find the z score corresponding to x = 19. Find P (x < 19). Would if be unusual for a random sample of size 36 from the x distribution to...
A normally distributed population has a mean of 560 and a standard deviation of 60 ....
A normally distributed population has a mean of 560 and a standard deviation of 60 . a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 519 . b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 589 Although either technology or the standard normal distribution table could be used to find...
A population has a mean of 200 and a standard deviation of 50. Suppose a simple...
A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size ̅ 100 is selected and ? is used to estimate ?. 1. What is the probability that the sample mean will be within ±5 of the population mean? 2. What is the probability that the sample mean will be within ±10 of the population mean?