a)
top 1 % =bottom 99%
Z value at 0.99 = 2.326 (excel formula =NORMSINV( 0.99 ) )
b)
bottom 1 %
Z value at 0.01 =
-2.326 (excel formula =NORMSINV(
0.01 ) )
c)
middle 50 %
proportion left 0.50 is equally distributed both left and right side of normal curve i.e 0.25 left side, 0.25 right side
z value at 0.25 = ±
0.6745 (excel formula =NORMSINV(
0.50 / 2 ) )
so, z cut off value are (-0.6745 , 0.6745)
d)
top=55%
bottom = 1 - 0.55 = 0.45
Z value at 0.45 =
-0.126 (excel formula =NORMSINV(
0.45 ) )
please explain how to do each. 9. Find the z-score(s)/cut-offs.. a) the top 1% b) the...
12. Using a normal distribution and z score formula answer the following questions: a. Find the Z-score that cuts off the top 35% of the nornval curve b. Find the data value to the nearest whole number that cuts off the bottom 20% of the curve given that the mean is 75 and sample standard deviation is 5. c. Find the z scores that cut off the middle 50% of the normal curve.
13. If we have a normal distribution with a mean of 75 and a standard deviation of 3. a. what z-score(s) would cut off the middle 40% of the distribution? b. what raw score(s) would cut off the lower 12% of the distribution? c, what raw score(s) would cut off the most extreme 5% of the distribution? d, what T-score(s) would cut off the upper 20% of the distribution?
13. If we have a normal distribution with a mean of...
12. Using a normal distribution and z score formula answer the following questions: a. Find the Z-score that cuts off the top 35% of the nornval curve b. Find the data value to the nearest whole number that cuts off the bottom 20% of the curve given that the mean is 75 and sample standard deviation is 5. c. Find the z scores that cut off the middle 50% of the normal curve. 13. This question is worth 4 points...
Assume a normal distribution with μ = 0 and σ = 1, find the z-score(s) for each statement below: a) the area is 0.8 to the left of z b) the area is 0.11 to the right of z c) the middle area is 0.45 between −z and z ;
Determine the z-score value in each of the following scenarios: a. What z-score value separates the top 8% of a normal distribution from the bottom 92%? Using standard normal table, a) P(Z < z) = 0.92 To see the probability 0.92 in the standard normal table the corresponding z value is 1.405 . P(Z < 1.405) = 0.92 z - score = 1.405 b) P(Z < z) = 0.28 Please can you show me how to get the exact calculations...
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12. Using a normal distribution and z score formula answer the following questions: a. Find the Z-score that cuts off the top 35% of the nornval curve b. Find the data value to the nearest whole number that cuts off the bottom 20% of the curve given that the mean is 75 and sample standard deviation is 5. c. Find the z scores that cut off the middle 50% of the normal curve. 13. This question is...
12-13 show work
12. Using a normal distribution and z score formula answer the following questions: a. Find the Z-score that cuts off the top 35% of the nornval curve b. Find the data value to the nearest whole number that cuts off the bottom 20% of the curve given that the mean is 75 and sample standard deviation is 5. c. Find the z scores that cut off the middle 50% of the normal curve. 13. This question is...
A distribution has a standard deviation of o= 12. Find the Z-score for each of the following locations in the distribution. a. Above the mean by 3 points. b. Above the mean by 12 points. c. Below the mean by 24 points. d. Below the mean by 8 points. For a population with u = 50 and o= 8, find the z-score for each of the following X values. a. X= 54 b. X= 62 c. X= 52 d. X=...
4 pts Question 47 8, find the Z-score corresponding to each of the following X For a population with a h = 40 and o = values: a. X-42; b. X-52; c. X=36; d. X-32 HTML Editor A population of scores with a u = 43 and o = 8 is standardized to create a new population distribution with a fi = 50 and o = 10. What is the new X value for each of the following scores from...
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In a Standard Normal model, what value(s) of z cut(s) off the region described? Don't forget to draw a picture. REGION: The middle 90% 10 A 0.842 © B -0.675 O C -1.881 -1.881 0 D -1.645 to 1.645 Police department salaries in San Francisco have a mean of $90,702 and an sd of $45,321. A chief of police's salary has a z-score of z = 4.84. Interpret this z-score. O A The chief of police makes...