Practice Problems Chapter 4 Include a sketch of these practice problems 1. IfY-N

Question

Practice Problems Chapter 4 Include a sketch of these practice problems 1. IfY-N(0, 1) then find the area between 1.7 and 2.2 2 For a normally distributed variable find the percentage of observations within ± 1.8 standard deviations from the mean 3. How many standard deviations below the mean is the 30th percentile for the standard normal distribution? 4. Find zoa0 Find the z-scores such that 90% of values under Y-N(0,1) are between-t and z" 5, 6. The blood cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean =188 mg/dl and standard deviation of -41 mg/dl a. What percentage of young men in the population has cholesterol levels between 170 mg/dl and 200 mg/di? b. What is the probability that a young man has a cholesterol level less than 125 mg/di? c. What is the probability that a young man has a cholesterol level greater than 225 mg/di? d. What cholesterol level is the 85h percentile? e. What is the range of cholesterol levels of the middle 95% of the population of 7. If the points on a normal probability plot lie close to a straight line, the plot 8. Systematic deviations from a straight line on a normal probability plot indicate a 9. On normal probability plots, outiers appear as points that are far away from the 10. Transformations can be performed on non-normal to make it become normal. young men? indicates that the data are Normal. Yes or No and why non-Normal distribution. Yes or No and why overall pattern of the plot. Yes or No and why Yes or No and why.

Explanation / Answer

Here' are answers to the questions. You may post questions individually actually since there are restrictions i.e. answering assignment questions all at once.

Below, we have used Z tables to solve the problem. Here' one for your reference:

http://sixsigmastudyguide.com/wp-content/uploads/2014/04/z-table.jpg

1. P(1.7<Z<2.2) = .9861-.9554 = .0307
2. P(-1.8<Z<1.8) = 2*P(0<Z<1.8) = 2*(.9641-.5) = .9282
3. P(X <= c) = .30, So, Z = -0.525
4. Z.20 = -0.84

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