4. The results of a state-wide examination of the reading skills of sixth-grade students were normally distributed, with a mean score of 104 and a standard deviation of 16. The students in the top 10% are to receive an award, and those in the bottom 14% will be required to take a special reading class. a. What score does a student need in order to receive an award? b. What is the cut-off score that will be used to determine whether a student will be required to take the special reading class?

4. The results of a state-wide examination of the reading skills of sixth-grade students were normally distributed, with a mean score of 104 and a standard deviation of 16. The students in the top 10% are to receive an award, and those in the bottom 14% will be required to take a special reading class. a. What score does a student need in order to receive an award? b. What is the cut-off score that will be used to determine whether a student will be required to take the special reading class?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. The lowest and the highest data value of a data set are 12 and 28 respectively, then the approximate standard deviation is:
5. Interpret the location (how many standard deviations), direction (above or below the mean), and distance (near or far) of the following z-scores: a) -2.00 b) 1.25 c) 3.50 d) -0.34
a. Find the mean, median and mode. b. If the value 15.75 was incorrectly written as 45.75, what measure of central tendency will be affected? Support your answer. c. Compute for the semi-interquartile range,absolute deviation, variance and standard deviation of test.
1. higher or lower 2. Slower or faster
1. The EPA fuel economy estimates for automobile models tested recently predicted a mean of 24.8 mpg and a standard deviation of 6.2 mpg for highway driving. a. About what percent of cars get less than 31 mpg? b. What percent of cars get more than 20 mpg? c. What percent of cars get between 22 and 30 mpg? d. What gas mileage represents the 75th percentile? e. What gas mileages separate the bottom 3% and top 3% of cars? X
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 565 and standard deviation 116. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 21.3 and standard deviation 3.7. a. What is Elanor's standardized score? Round to 2 decimal places. b. What is Gerald's standardized score? Round to 2 decimal places. c. Assuming that both tests measure the same kind of ability, who has the higher score? O Gerald. O Elanor. O They both did equally welI.
I need help with this question :) Here are the mean and Standard Deviation for both men and women: Men: Mean 69.0 Standard Deviation: 2.8 Women: Mean 63.6 Standard Deviation: 2.5 Tall Poppies International is a group for vertically gifted individuals (tall people). To join, a man must be at least74 inches tall, and a woman must be at least 70 inches tall.a. What percentage of men are eligible for membership?b. What percentage of women are eligible?c. Are the height requirements fair for men and women?
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 515 and standard deviation 121. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 18.6 and standard deviation 3.3. a. What is Elanor's standardized score? Round to 2 decimal places. b. What is Gerald's standardized score? Round to 2 decimal places. c. Assuming that both tests measure the same kind of ability, who has the higher score? Gerald. Elanor. O They both did equally well.
A. Sam's times varied more over the season that Mike's times. B. Sam's times varied about the same over the season as Brett's times. C. Brett's times varied more over the season than Mike's times. D. Mike's times varied more over the season than Brett's times.
2) A psychology teacher decided to fail 12% of her class of 40 students. The exam results of the class were roughly normally distributed with a mean of 74 and a standard deviation of 7. A. What score must a student get in order to pass? B. How many students would get a score between 77 and 85?
In the 1992 presidential election, Alaska's 40 election districts averaged 1989 votes per district for President Clinton. The standard deviation was 568. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X ~ N( __ , __ ) b. Is 1989 a population mean or a sample mean? Select an answer _______. c. Find the probability that a randomly selected district had fewer than 2087 votes for President Clinton. _____ d. Find the probability that a randomly selected district had between 1905 and 2194 votes for President Clinton.______ e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number. ______
42. The speeds of vehicles on a certain part of a highway are normally distributed with a mean of 60 mph and a standard deviation of 6 mph. Use the Empirical Rule to answer the following questions. a. Approximately what percentage of vehicles travel at a speed between 54 mph and 66 mph? b. Approximately what percentage of vehicles travel at a speed greater than 72 mph? c. Approximately what percentage of vehicles travel at a speed not greater than 78 mph?