Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean of the test is 84 with a standard deviation of 5 and the results are normally distributed. (a) How many who took the test passed? (b) How many examinees have scores ranging from 80 to 86?

Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean of the test is 84 with a standard deviation of 5 and the results are normally distributed. (a) How many who took the test passed? (b) How many examinees have scores ranging from 80 to 86?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Suppose that you are interested in determining the average height of a person in a large city. You…

A: Solution: Given information: n= 400 Sample size x=63 inches Sample mean s= 6 inches Sample standard…

Q: A sample of n = 6 scores has a mean of M = 10. If one score with a value of X = 12 is removed from…

A: Given that A sample of n = 6 scores has a mean of M = 10

Q: In a departamental examination in statistics given to 500 students, the mean score was 75 with a…

A: A z score tells us where score is lies on normal distribution curve. if z score is is zero is it…

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: Given dataMean = 116Standard deviation = 14Probability that population would be between 116 and 130…

Q: Suppose that you want to determine the number of people who will attend a conference this year. In…

A: Given information: The investigator wants to determine the umber of people who will attend a…

Q: Suppose a statistics instructor believes that there is no significant difference between the mean…

A: Complete solution and answer is given in the image uploaded below Thanks!

Q: suppose that you scored 60 on a test that has a population mean of 64 and a standard deviation of 8.…

A: Given: Test Score x=60 μ=64σ=8 Transform in which μ=50σ=10

Q: Suppose the lifetimes of a certain lightbulb are normally distributed with a standard deviation of…

A: From the provided information, Standard deviation (σ) = 100 Let µ be the required mean. X~N (µ, 100)…

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: The sum of deviations (of actual observations) around the mean are always equal to zero TRUE OR…

Q: In a population with mean 50 what standard deviation score would have a score of X=45

Q: The graph illustrates the distribution of test scores taken by College Algebra students. The maximum…

A: QUESTION 1 SOLUTION: (less than 54) Step 1: Convert to z-score Formula:z=σx−μwhere;x = raw scoreμ =…

Q: he scores on a psychology examination are normally distributed with a mean of 70 and a standard…

A: Solution: Let X be the scores on psychology examination are normally distributed with mean of μ= 70…

Q: What is the sum of the deviation scores for the data in the frequency distribution table below?

A: Sum of deviation of scores from mean is always zero.

Q: The graph illustrates the distribution of test scores taken by College Algebra students. The maximum…

Q: Suppose I collect test data from two different tests, History and Calculus. Suppose the history…

A: Obtain the Z-score for the History class test.Consider the values of history test be denoted by xi,…

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: A sample of n = 10 scores has a mean of M = 13. After one score is added to the sample, the mean is…

A: Solution-: Given: n=10,M=13 (old)We want to add one score in the sample, the mean is found to be M =…

Q: Imagine you select 30 males at random and find their mean height to be 5 ft 11 in. tall with a…

Q: One of the z-score formulas will help on this question. Scores on the SAT test are normally…

A: Given X ~ N (500, 100) P(Z<x -μσ) = PZ<700-50010 = P(Z<20)…

Q: The final exam is worth 200 points with the usual 10% grading scale. Assume that the final exam…

A: A ten-point range grading scale (in general) A = 180-200 B = 179 - 160 C = 159 - 140 D = 139 - 120 F…

Q: One of the z-score formulas will help on this question. Scores on the SAT test are normally…

A: Given data,Mean μ=500sd σ=100Score X=450z-score =?

Q: The scores on an IQ test are normally distributed with a standard deviation of 14 and a mean of 100.…

A: Let X be the IQ score from normal distribution with mean (μ) = 100 and standard deviation (σ) = 14…

Q: A population of scores has u=55 and o=15. if 5 points are subtracted from every score in the…

A: The given data is μ = 55σ = 15 Suppose x1, x2, x3, x4, ..., xn are the data points…

Q: There is a weekend fishing competition that Amanda participates in each year. There are several…

A: The formula for calculating a z-score is z = (x-μ)/σ, where x is the raw score, μ is the population…

Q: How would you find the standard deviation by hand, of the following numbers: 1,1,3,01,6,2

A: Standard deviation:Standard deviation quantifies the dispersion of a data set from its mean. The…

Q: The sum of deviation scores in any distribution (population or sample) is always equal to 0.…

A: Let us take an example. Let X be random variable we know that Meanx¯=∑xn Therefore, ∑x=nx¯

Q: A professor gives a test to her calculus students. The scores are approximately normally distributed…

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

Q: It is known that the mean is 50 and the standard deviation is 5. There are 45 students in the class.…

A: Given that,Population mean Standard deviation Sample size

Q: Assume that the SAT test scores are normally distributed with a mean score of 1200 and a…

Q: If your score on your next statistics test is converted to a z score, which of these z scores would…

A: Solution

Q: A student obtained the mean and standard deviation of 100 observations as 40 and 5 respectively. It…

Q: A sample of n=11 scores has a mean of M=9. If one new person with a score of X=4 is added to the…

A: Given that, A sample of n=11 scores has a mean of M=9. One new person with a score of X=4 is added…

Q: ple of n = 15 scores has a mean of M = 6. One person with a score of X = 22 is added to the sample.…

A: The mean formula is, Mean = Sum of all observations/ Total observations, Given: Mean (M) = 6 Total…

Q: uppose the scores of students on a Statistics course are Normally distributed with a mean of 596 and…

Question

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

One of the z-score formulas will help on this question. Scores on the SAT test are normally distributed with a mean of 500 and standard deviation of 100 points. Pretend someone scored 400 on the math portion of the SAT test. What would be the z-score cut off for this score? A. 1.0 B. -1.0 C. 0 D. 2.0
How many of the sample of families would fall above 2 standard deviations from the mean?A. 0B. 1C. 2D. 3
The graph illustrates the distribution of test scores taken by College Aigebra students. The maximum possible score on the test was 140, while the mean score was 76 and the standard deviation was 14. 34 48 62 76 90 104 Distribution of Test Scores What is the approximate percentage of students who scored between 76 and 90 on the test? What is the approximate percentage of students who scored higher than 104 on the test? What is the appraximate percentage of students who scored higher than 118 on the test? What is the approximate percentage of students who scored between 48 and 104 on the test?
In a test, the average of the grades is 80 and the standard deviation is 5. John's grade is 70, so his grade is standard deviations the average. 2 below 10 --------- below 70 above equal to
2. On a standardized test, Sara had a score of 81, which was exactly 2 standard deviations below the mean. If the standard deviation for the test is 3, what is the mean score for the test?
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.
This list of test scores has a mean of 50. Estimate whether the standard deviation is closest to 0, 1, 2 or 10. (This problem requires NO arithmetic - instead, I'm looking at your intuition about standard deviation) 12, 25, 14, 17, 12, 13, 12 (a) 0 (b) 1 (c) 2 (d) 10
If the grades of 100 students have mean 18 and standard deviation 4. If we subtract 3 from each student, then we divide by -2. The new standard deviation is Select one: O a. 2 O b. 4 O c. -2 O d. -4
Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? children