Question

A random variable X follows a normal distribution with mean 135 and standard deviation 12. If...

A random variable X follows a normal distribution with mean 135 and standard deviation 12. If a sample of size 10 is taken, find P (x̅ < 137). (4 decimal places) Find the answer using StatCrunch.

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

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 135

standard deviation = = 12

n = 10

= = 135 and

= / n = 12 / 10 = 3.7947

P( < 137) = P(( - ) / < (137 - 135) / 3.7947)

= P(z < 0.527)

= 0.7009

Probability = 0.7009

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
Suppose the random variable X follows a normal distribution with mean μ=52 and standard deviation σ=10....
Suppose the random variable X follows a normal distribution with mean μ=52 and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X < 41) = b) P(X > 61) = c) P (47 < X < 67) =
Suppose the random variable X follows a normal distribution with mean μ=50and standard deviation σ=10. Calculate...
Suppose the random variable X follows a normal distribution with mean μ=50and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X<41)=    b) P(X>61)=    c) P(45<X<65)=   
Suppose the random variable X follows a normal distribution with mean μ=55and standard deviation σ=10. Calculate...
Suppose the random variable X follows a normal distribution with mean μ=55and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X<41) b) P(X>64) c)P(50<X<70)
Given a random variable X following normal distribution with mean of -3 and standard deviation of...
Given a random variable X following normal distribution with mean of -3 and standard deviation of 4. Then random variable Y=0.4X+5 is also normal. (1)Find the distribution of Y, i.e. μy,σy (2)Find the probabilities P(−4<X<0),P(−1<Y<0) (3)Find the probabilities(let n size =8) P(−4<X¯<0),P(3<Y¯<4) (4)Find the 53th percentile of the distribution of X
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)
Given a normal distribution with population standard deviation of 2 and a mean of μ =...
Given a normal distribution with population standard deviation of 2 and a mean of μ = 10. If a random sample of size 69 is drawn, find P(10 ≤ x ≤ 12). Round to three decimal places.
A: Let z be a random variable with a standard normal distribution. Find the indicated probability....
A: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≤ 1.11) = B: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≥ −1.24) = C: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.78 ≤ z...
A) Suppose that X follows a normal distribution with a mean of 850 and a standard...
A) Suppose that X follows a normal distribution with a mean of 850 and a standard deviation of 100. Find P(X>700). B) Suppose that X follows a normal distribution with a mean of 500 and a standard deviation of 100. For what sample size would you expect a sample mean of 489 to be at the 33rd percentile?
a. Assume that x has a normal distribution with the specified mean and standard deviation. Find...
a. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 15.5; σ = 4.5 P(10 ≤ x ≤ 26) = b. Now, assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.2; σ = 2.9   P(8 ≤ x ≤ 12) = c. Now, assume...
a.) Given a normal distribution with population standard deviation of 21 and a mean of μ...
a.) Given a normal distribution with population standard deviation of 21 and a mean of μ = 29. If a random sample of size 62 is drawn, find P(29 ≤ x ≤ 31). Round to three decimal places. b.) Find the positive z value such that 89% of the standard normal curve lies between –z and z. (Use 2 decimal places.) c.) For a standard normal curve, find the area between z = 0.28 and z = 1.95. (Use 4...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT