Question

Let x be a continuous random variable that has a normal distribution with μ=85 and σ=12....

Let x be a continuous random variable that has a normal distribution with μ=85 and σ=12. Assuming n/N ≤ 0.05, find the probability that the sample mean, x¯, for a random sample of 18taken from this population will be between 81.7 and 90.4.

Round your answer to four decimal places.

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

Homework Answers

Answer #2

Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(1.9092, TRUE)" & "=NORM.S.DIST(-1.1667, TRUE)" to find the probability.
answered by: anonymous
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
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 population of values has a normal distribution with μ=137.5 and σ=14.4. A random sample of...
A population of values has a normal distribution with μ=137.5 and σ=14.4. A random sample of size n=142 is drawn. Find the probability that a single randomly selected value is between 136 and 140.6. Round your answer to four decimal places. P(136<X<140.6)= Find the probability that a sample of size n=142 is randomly selected with a mean between 136 and 140.6. Round your answer to four decimal places. P(136<M<140.6)=  
A population of values has a normal distribution with μ=64 and σ=63.6. A random sample of...
A population of values has a normal distribution with μ=64 and σ=63.6. A random sample of size n=24 is drawn. Find the probability that a single randomly selected value is between 25.1 and 57.5. Round your answer to four decimal places. to find answer P(25.1<X<57.5)= Find the probability that a sample of size n=24 is randomly selected with a mean between 25.1 and 57.5. Round your answer to four decimal places. to find answer P(25.1<M<57.5)=
A population of values has a normal distribution with μ=195.7μ=195.7 and σ=29.7σ=29.7. A random sample of...
A population of values has a normal distribution with μ=195.7μ=195.7 and σ=29.7σ=29.7. A random sample of size n=112n=112 is drawn. What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means? Round your answer to two decimal places. σ¯x=σx¯= Q14
Suppose x has a distribution with μ = 12 and σ = 8. (a) If a...
Suppose x has a distribution with μ = 12 and σ = 8. (a) If a random sample of size n = 34 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(12 ≤ x ≤ 14) = (b) If a random sample of size n = 58 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx...
Let the random variable X follow a Normal distribution with variance σ2 = 625. A random...
Let the random variable X follow a Normal distribution with variance σ2 = 625. A random sample of n = 50 is obtained with a sample mean, X-Bar of 180. What is the probability that μ is between 198 and 211? What is Z-Score1 for μ greater than 198?
1)     let X be a continuous random variable that has a normal distribution with a mean...
1)     let X be a continuous random variable that has a normal distribution with a mean of 40 and a standard  deviation of 5. Find the probability that X assumes a value:        a. between 32 and 35   b. between 41 and 50        c. greater than 43     d. less than 49
1) A population of values has a normal distribution with μ=224.1μ=224.1 and σ=63.8σ=63.8. You intend to...
1) A population of values has a normal distribution with μ=224.1μ=224.1 and σ=63.8σ=63.8. You intend to draw a random sample of size n=58n=58. Find P2, which is the score separating the bottom 2% scores from the top 98% scores.P2 (for single values) = Find P2, which is the mean separating the bottom 2% means from the top 98% means. P2 (for sample means) 2) A population of values has a normal distribution with μ=15.8μ=15.8 and σ=61.7σ=61.7. You intend to draw...
7. A normal random variable x has mean μ = 1.7 and standard deviation σ =...
7. A normal random variable x has mean μ = 1.7 and standard deviation σ = 0.17. Find the probabilities of these X-values. (Round your answers to four decimal places.) (a)   1.00 < X < 1.60 (b)    X > 1.39 (c)   1.25 < X < 1.50 8. Suppose the numbers of a particular type of bacteria in samples of 1 millilitre (mL) of drinking water tend to be approximately normally distributed, with a mean of 81 and a standard deviation of 8. What...
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT