1. What is the area under the curve between 3398.8 and 3981.2 for a normal distribution...

1. What is the area under the curve between 3398.8 and 3981.2 for a normal distribution with mean m=3900 and standard deviation s=280 ?

2. Find the 12th percentile of the above distribution.

3. What is the probability of obtaining a mean of 275.4 or greater from a sample of size 4 from a NORMAL population with mean m=245 and standard deviation s=28 ?

4. What is the area under the standard normal curve below z = 0.20 ?

5. Test marks are normally distributed with mean 67 and standard deviation 14. What is the minimum mark required to be in the top 10% ?( nearest integer)

6. 100 samples of size 25 are taken from a population with mean 43 and standard deviation 8. How many samples would you expect to have means greater than 52.1?(nearest integer)

Expert Solution

orchestra answered 1 year ago

About % of the area under the curve of the standard normal distribution is between z=−2.098z=-2.098...

About % of the area under the curve of the standard normal distribution is between z=−2.098z=-2.098 and z=2.098z=2.098 (or within 2.098 standard deviations of the mean).

Find the area under the standard normal distribution curve: a) Between z = 0 and z...

Find the area under the standard normal distribution curve: a) Between z = 0 and z = 1.95 b) To the right of z = 1.99 c) To the left of z = -2.09 How would I do this?

Find the area under the standard normal distribution curve: a) Between z = 0 and z...

Find the area under the standard normal distribution curve: a) Between z = 0 and z = 1.95 b) To the right of z = 1.99 c) To the left of z = -2.09 How would I do this?

(a) Given a standard normal distribution, find the area under the curve that lies between z...

(a) Given a standard normal distribution, find the area under the curve that lies between z = −0.48 and z = 1.74. (b) Find the value of z if the area under a standard normal curve between 0 and z, with z > 0, is 0.4838. (c) Given a normal distribution with μ = 30 and σ = 6, find the two values of x that contains the middle 75% of the normal curve area.

Find the area under the curve of the normal distribution that is in the following interval:...

Find the area under the curve of the normal distribution that is in the following interval: -2.95 < Z < -2.00 Enter this answer as a number rounded to four digits after the decimal point. Do not use words.

About % of the area under the curve of the standard normal distribution is outside the...

About % of the area under the curve of the standard normal distribution is outside the interval z=[−1.42,1.42]z=[-1.42,1.42] (or beyond 1.42 standard deviations of the mean).

a. About % of the area under the curve of the standard normal distribution is outside...

a. About % of the area under the curve of the standard normal distribution is outside the interval z=[−0.3,0.3]z=[-0.3,0.3] (or beyond 0.3 standard deviations of the mean). b. Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(−b<z<b)=0.6404P(-b<z<b)=0.6404, find b. b= c. Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between z=−1.6z=-1.6 and z=1.6z=1.6 standard deviations of the mean (or...

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1. What is the area under the curve between 3398.8 and 3981.2 for a normal distribution...

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About % of the area under the curve of the standard normal distribution is between z=−2.098z=-2.098...

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