Scores on a test are normally distributed with a mean of 63 2 and a standard...

Question

Question

Scores on a test are normally distributed with a mean of 63 2 and a standard deviation of 117 Find P81, which separates the b

math Statistics-And-Probability

Answer 1

Answer #1

Solution :

Given that,

mean = $\mu$ = 63.2

standard deviation = $\sigma$ = 11.7

P( Z < z) = 81%
P(Z < z) = 0.81

z = 0.878

Using z-score formula,

x = z * $\sigma$ + $\mu$

x = 0.878* 11.7 + 63.2

= 73.47

P₈₁ = 73.47

Option A ) is correct.

Answer 2

Similar Homework Help Questions

Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find P81

Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find P81, which separates the bottom 81% from the top 19%. Round to two decimal places. A. 0.88 B. 73.47 C. 66.60 D. 0.29
Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11 7 Fi...

Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11 7 Find P81 , which separates the bottom 81% from the top 19%, Round to two decimal places. O A. 66.60 O B. 0.29 ОС. 088 O D. 73.47 Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11 7 Find P81 , which separates the bottom 81% from the top 19%, Round to...
Scores on a test are normally distributed with a mean of 65 and a standard deviation...

Scores on a test are normally distributed with a mean of 65 and a standard deviation of 10. Find the score to the nearest whole number which separates the bottom 81% from the top 19%. A. 88 B. 68 C. 56 D 74

Solve the problem. Round to the nearest tenth unless indicated otherwise. Scores on a test are...

Solve the problem. Round to the nearest tenth unless indicated otherwise. Scores on a test are normally distributed with a mean of 70 and a standard deviation of 11.5. Find P81, which separates the bottom 81% from the top 19% O 0.88 O 73.3 O 0.291 O 80.1
Scores on an English test are normally distributed with a mean of 37.6 and a standard...

Scores on an English test are normally distributed with a mean of 37.6 and a standard deviation of 7.6. Find the score that separates the top 59% from the bottom 41% answers choices: 35.9 39.3 42.1 33.1
15) Assume that z scores are normally distributed with a mean of 0 and a standard...

15) Assume that z scores are normally distributed with a mean of 0 and a standard deviation 15) of 1. If P(z> c) 0.109, find c. olve the problem. 16) 16) Scores on an English test are normally distributed with a mean of 37.4 and a standard deviation of 7.9. Find the score that separates the top 59% from the bottom 41% 17) Suppose that replacement times for washing machines are normally distributed with a 17) mean of 10.9 years...

1. 2. Scores for a common standardized college aptitude test are normally distributed with a mean...

1. 2. Scores for a common standardized college aptitude test are normally distributed with a mean of 485 and a standard deviation of 114. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 536. P(X> 536) = Round to 4 decimal places. If 20 of the men are...
Suppose that scores on a particular test are normally distributed with a mean of 130 and...

Suppose that scores on a particular test are normally distributed with a mean of 130 and a standard deviation of 19. What is the minimum score needed to be in the top 20% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place. ?
if statistics test scores were normally distributed with a mean of 81 and a standard deviation...

if statistics test scores were normally distributed with a mean of 81 and a standard deviation of 4, a) what is the probability that a randomly selected student scored less than 70? b) what percentage of students had a B on the exam? c) the top 10% of the class had what grades?

suppose the mean of a data set is 68.9 and the standard deviation is 1. find...

suppose the mean of a data set is 68.9 and the standard deviation is 1. find P81, which separates the bottom 81 from the top 19