Question

A normal distribution has µ = 60 and sigma = 8. What is the probability of...

A normal distribution has µ = 60 and sigma = 8. What is the probability of obtaining a sample mean greater the x = 62 for a sample of n = 24 scores?

Homework Answers

Answer #1

The probability of obtaining a sample mean greater the x = 62 for a sample of n = 24 scores is 0.1103=11.03%

The R-code is to compute probability

1-round(pnorm(1.2247),4)

 [1] 0.1103

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
For a normal population with mu = 100 and with sigma = 20, a) what is...
For a normal population with mu = 100 and with sigma = 20, a) what is the probability of obtaining a sample mean less than 90% for a sample of n = 4 scores? b) what is the probability of obtaining a sample mean less than 90 for a sample of n=16 scores? c) for a sample of n = 25 scores, what is the probability that the sample mean will be within 5 points of the population mean?
Given a Normal distribution with a mean (µ) of 60 and standard deviation (ᵟ) of 8,...
Given a Normal distribution with a mean (µ) of 60 and standard deviation (ᵟ) of 8, what is the probability that the sample mean (Xbar) is: Less than 57? Between 57and 62.5? Above 65? There is a 38% chance that the Xbar is above what value?
8. A random sample is obtained from a normal population with a mean of µ =...
8. A random sample is obtained from a normal population with a mean of µ = 80 and a standard deviation of σ = 8. Which of the following outcomes is more likely? Explain your answer.           A. A sample mean greater than 86 for a sample of n = 4 scores.           B. A sample mean greater than 84 for a sample of n = 16 scores. 9. The distribution of SAT scores is normal with a mean of...
A sample of n = 4 scores is selected from a normal population with a mean...
A sample of n = 4 scores is selected from a normal population with a mean of µ = 50 and a standard deviation of σ = 20. What is the probability of obtaining a sample mean greater than M = 48?
Question 1 Given a normal distribution with µ=20 and σ = 4, what is the probability...
Question 1 Given a normal distribution with µ=20 and σ = 4, what is the probability that X>24 X<24 X<24 or X>24 INSTRUCTIONS: Show all your work as to how you have reached your answer. Please don’t simply state the results. Show graphs where necessary
Let the random variable X follow a normal distribution with µ = 19 and σ2 =...
Let the random variable X follow a normal distribution with µ = 19 and σ2 = 8. Find the probability that X is greater than 11 and less than 15.
Given a normal distribution with mu=103 and sigma?=15 , and given you select a sample of...
Given a normal distribution with mu=103 and sigma?=15 , and given you select a sample of n=9 What is the probability that Upper X overbarX is less than 95 ?
A normal distribution has a mean of u = 54 and a standard deviation of o...
A normal distribution has a mean of u = 54 and a standard deviation of o = 6. a. What is the probability of randomly selecting a score less than X = 51? b. What is the probability of selecting a sample of n = 4 scores with a mean less than M = 51? c. What is the probability of selecting a sample of n = 36 scores with a mean less than M = 51? Show your work
A population of values has a normal distribution with ?=64.8 and ?=44.8. You intend to draw...
A population of values has a normal distribution with ?=64.8 and ?=44.8. You intend to draw a random sample of size n=15. Find the probability that a single randomly selected value is greater than 76.4. P(X > 76.4) = Find the probability that a sample of size n=15 is randomly selected with a mean greater than 76.4. P(M > 76.4) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to...
6. What proportion of scores in a normal distribution have z-scores below z = -1.32? (2...
6. What proportion of scores in a normal distribution have z-scores below z = -1.32? (2 points) 7. What proportion of a normal distribution falls between z = -1.16 and z = 1.16? (2 points) 8. A normal distribution has a mean of µ = 36 with σ = 4. What proportion of the distribution falls between scores of X = 30 and X = 38? (3 points)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT