Suppose scores from a certain test were distributed roughly normally, with a mean score of 75 with a standarddeviation of 13.a. What is the proportion of students scoring under 55 (4 decimal positions)?b. What is the proportion of students scoring between 55 and 80? (4 decimal positions)c. What is the proportion of students scoring over 80? (4 decimal positions)d. How high must a student score to place in the top 5% of all students taking the SAT? State answer as awhole number.

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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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D A school is tracking its freshmen attendance for the first marking period. Shown below is a table summarizing their findings for the 284 members of the freshmen class. (a) Find the mean and median number of days absent. Round your mean to the nearest tenth. (b) What is the population standard deviation for this data set? Round to the nearest tenth. (c) What proportion of the population that has an absenteeism greater than 4 days? Days Absent Number of Students (x) (fi) 0 158 1 64 2 18 3 22 4 4 5 7 6 8 9 2 13 1
2. The mean of a statistics examination is 77.0. a. If your score is 85, would you prefer the standard deviation to be large or small for purposes of getting a better grade? Why? b. If your score is 69, would you prefer the standard deviation to be large or small? Why?
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?
2. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222milligrams per deciliter (mg/dl) and standard deviation 37 mg/dl. A random sample of 58individuals will be collected and the sample mean cholesterol level will be computed. a. What is the mean of the sample mean? b. What is the standard deviation of the sample mean?
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
2. At the general hospital, the waiting times (in minutes) before seeing the doctor were recorded. A sample of 10 patients was surveyed recently and their waiting times are shown below: 13 15 23 22 19 16 23 17 18 25 Calculate the mean, standard deviation and coefficient of variation.
Given the following grades on s test: 86, 92, 100, 93, 89, 95, 79, 98, 68, 62, 71, 75, 88, 86, 93, 81, 100, 86, 96, 52; What is the percentage of scores lying within one standard deviation from the mean? Two standard deviations from the mean? Are these results consistent with what

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