We have an original distribution with the mean of 20 and the
standard deviation of 5. If we curve this distribution, so that the
new distribution has a mean of 10 and the standard deviation of 4,
what would the new score be if the original score is 25?
A. 6
B. 10
C. 14
D. 18
We have an original distribution with the mean of 20 and the standard deviation of 5....
Question 3: Consider the Standard Normal Distribution with mean 0 and standard deviation 1. Find the following. a) P (z>0.5) b) P(z 1.5) c) P (-0.49 < z1.5) Question 4: If you have a normal distribution with mean 14 and standard deviation of 2. What is P(x >16)? Question 5 Professor Hardy assumes the exam scores are normally distributed and wants to grade "on a curve." The mean score was 68, with a standard deviation of 9, If he wants...
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...
question 4
1. A distribution has a standard deviation of a = 12 points. Find the 2-score for each of the following locations in a distribution by sketching a distribution (do not use an equation). (4 points) a. Above the mean by 4 points b. Below the mean by 6 points c. Below the mean by 18 points 2. A distribution has a standard deviation of a = 5 and u = 30. Find the score for each of the...
6. A normal distribution of has a mean of 20 and a standard deviation of 10. Find the z-scores corresponding to each of the following values: (10 points) a) What is the z score for a value of 30? b) What is the z score for a value of 10? c) What is the z score for a value of 15? d) What it P(20<x<30)? e) What is P (x > 10)? ) What is P (x < 15)? g)...
1. A student was asked to compute the mean and standard deviation for the following sample of n= 5 scores: 81, 87, 89, 86, and 87. To simplify the arithmetic, the student first subtracted 80 points from each score to obtain a new sample consisting of 1,7,9,6, and 7. The mean and standard deviation for the new sample are then calculated to be M=6 and s = 3. What are the values of the mean and standard deviation for the...
A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10. When the distribution is standardized, what value will be obtained for a score of X = 58 from the original distribution? a.58 b.55 c.61 d.53 On an exam with μ = 52, you have a score of X = 56. Which value for the standard deviation would give you the...
14. For a negatively skewed distribution with a mode of X-25 and a median of 20, the mean is probably a greater than 25 b. less than 20 c. between 20 and 25 d. cannot be determined from the information given 15. A distribution is positively skewed. Which of the most probable order for the three measures of central tendency? a mean - 40, median - 50, mode - 60 b. mean-60, median - 50, mode - 40 c. mean...
Assume you have a normal distribution with a mean of 50 and a standard deviation of 10. What will the z-score be for the raw score "80"? -20 -3 3 . 20
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o = 40. Find each of the following probabilities. (8 points) a. P(160 < x < 232) b. P(X > 160) C. P(X < 100) d. P(230 < x < 284) 6. Sup Suppose we know that SAT scores have a population average u = 1080 and a standard deviation o = 200. A university wants to give merit scholarships to all students with an...
A normal distribution has a mean of 80 with a standard deviation of 20. What score separates the highest 40% of the distribution from the rest of the scores? A) X= 54.4 B) X= 85 C) X= 75 D) X= 105.6