Question

given normal random variable x with mean μ= 57.1 and standard deviation σ=13.2, what is P...

given normal random variable x with mean μ= 57.1 and standard deviation σ=13.2, what is P (46 < x̄ < 69) for a sample of size n= 16?

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

Homework Answers

Answer #1

Solution :

= / n = 13.2 / 16 = 3.3

= P[(46 - 57.1) / 3.3< ( - ) / < (69 - 57.1) / 3.3)]

= P(-3.36 < Z < 3.61)

= P(Z < 3.61) - P(Z < -3.36)

= 0.9998 - 0.0004

= 0.9994

P(46 < < 69) = 0.9994

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
given normal random variable Z with mean μ= 57.1 and standard deviation σ=13.2, what is P...
given normal random variable Z with mean μ= 57.1 and standard deviation σ=13.2, what is P (Z > 46)?
X is a normal random variable with mean μ and standard deviation σ. Then P( μ−...
X is a normal random variable with mean μ and standard deviation σ. Then P( μ− 1.2 σ ≤ X ≤ μ+ 1.9 σ) =? Answer to 4 decimal places.
a.)A normal random variable X has unknown mean μ and standard deviation σ = 6. What...
a.)A normal random variable X has unknown mean μ and standard deviation σ = 6. What is the margin of error E for a 98 percent confidence interval for μ, based on a random sample of size b.)(b) What sample size would be needed in part (a) to have a margin of error
Given that x is a normal variable with mean μ = 108 and standard deviation σ...
Given that x is a normal variable with mean μ = 108 and standard deviation σ = 14, find the following probabilities. (a)  P(x ≤ 120) (b)  P(x ≥ 80) (c)  P(108 ≤ x ≤ 117)
A random variable X is normally distributed. It has a mean of 254 and a standard...
A random variable X is normally distributed. It has a mean of 254 and a standard deviation of 21. List the givens with correct symbols: ? (σ N X̄ μ s X p n) = 254 ? (X̄ n σ s X p μ N) = 21 a) If you take a sample of size 21, can you say what the shape of the sampling distribution for the sample mean is?   ? Yes No Why or why not? Check all...
Given that x is a normal variable with mean μ = 51 and standard deviation σ...
Given that x is a normal variable with mean μ = 51 and standard deviation σ = 6.5, find the following probabilities. (Round your answers to four decimal places.) (a)  P(x ≤ 60) (b)  P(x ≥ 50) (c)  P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 48 and standard deviation σ...
Given that x is a normal variable with mean μ = 48 and standard deviation σ = 6.2, find the following probabilities. (Round your answers to four decimal places.) (a)  P(x ≤ 60) (b)  P(x ≥ 50) (c)  P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 111 and standard deviation σ...
Given that x is a normal variable with mean μ = 111 and standard deviation σ = 14, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 120) (b) P(x ≥ 80) (c) P(108 ≤ x ≤ 117)
Given that x is a normal variable with mean μ = 43 and standard deviation σ...
Given that x is a normal variable with mean μ = 43 and standard deviation σ = 6.5, find the following probabilities. (Round your answers to four decimal places.) (a)  P(x ≤ 60) (b)  P(x ≥ 50) (c)  P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 43 and standard deviation σ...
Given that x is a normal variable with mean μ = 43 and standard deviation σ = 6.7, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT