18. Suppose that the distribution of scores on the Graduate Record Exam (GRE) is approximately normal,with a mean of u = 150 and a standard deviation of o5. For the population of students who have taken%3|the GRE:a. What proportion have GRE scores less than 145?b. What proportion have GRE scores greater than 157?c. What is the minimum GRE score needed to be in the highest 20% of the population?d. If a graduate school accepts only students from the top 10% of the GRE distribution, what is theminimum GRE score needed to be accepted?

a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Answered: Suppose that the distribution of scores…

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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The current mean age of the retirement in the US is age 65 years old, with a standard deviation of 7 years. Assuming that retirement age is normally distributed. Find the percentage of all possible values of retirees that retired... a. Between the ages of 68 and 75 b. at least 70 years old. c. At most 85 years old. Using the retirement age data above, Find: a. The 99th percentile and explain its meaning. b. The age at which 85% people retire later than. c. The two values that divide the area under the normal curve into a middle area of 90%. (The lower number should be FIRST!) and
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
Suppose a set of data has mean u = 29 and standard deviation o=1.2. (Give answers accurate to three decimal places.) a. What is the z-score for the data value z = 31? b. What is the z-score for the data value z = 26? C. What data value corresponds to the z-score: z = 1.6? d. What data value corresponds to the z-score: z =-1.1?
b. Using the values of the mean and standard deviation for persons with tertiary education, obtained in part 'a' sheet 3. Using Chebyshev' theorem, find at least what percentage of people in this group fell between +5 and -5 of the mean.
A variable is normally distributed with mean 32 and standard deviation 12. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 16.4. b) Find the area under the normal curve to the left of the data value 52.4. c) Find the area under the normal curve to the right of the data value 27.2. d) Find the area under the normal curve to the right of the date value 37.4, e) Find the area under the normal curve between the data values 37.4 and 52.4.
A standardized memory test has a mean of u = 10p and a standard deviation of ó = 10. Answer the following questions: A. What proportion of people would score below 88 on the memory test? B. What is the percentile rank for someone who scored a 116 on the memory test? C. What are the scores that separate the middle 30% (15% each side of the mean) D. What percent of individuals would score between 86 and 109?
According to the Chebyshev's rule, the approximate proportion of observations within 3 standard deviations of the mean is O a. at most 11% O b. at most 89% O C. at least 89% O d. at least 11% O e. exactly 11%
Suppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 266 days and a standard deviation of 18 days. a. Approximately what percentage of human pregnancies last between 248 and 284 days? b. Between what two values will the durations of 95% of all human pregnancies fall? Answer in days
A uniform distribution has endpoints 4 and 18. A. What is the mean? B. What is the standard deviation, reporting to 2 decimal places? C. What is P(x = 5)? D. What is the 90th percentile, reporting to 1 decimal place?
J11.
You are given that X is normally distributed witha mean of 50.2 and a standard deviation of 3.7 a) What proportion of the population lies between 47 and 52 b) What is the value of the 95 percentile? c) What is the z score for the data value of 43.7
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.

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