1. The average grade of 2nd year students majoring in Civil Engineering isnormally distributed with a mean of 84 and a standard deviation of 5.a. In what range does the middle 90% of all 2nd year students majoring in CivilEngineering lie ?b. Students are given warnings when their average grade falls to and below 80. Ifso, what proportion of the 2nd year Civil Engineering majors is given warnings?c. What proportion of the 2nd year Civil Engineering majors has an average of90% and above?Note. Draw the normal curve. Indicate the area by shading the region orportion2. Find the values of the following area under the normal curve and shade thearea indicated. Refer to the z-table. Express your answers in percentageform.and to the left of z= -2.25 , from -0.63 to z=1.3 , and to the right of z=2.43

NOTE- AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY Here Given For Civil…

Answered: 1. The average grade of 2nd year…

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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1) The average amount of rainfall in Puerto Rico during the past month was 3.5 inches, according to the National Meteorology Center. Suppose that a normal distribution can be used and that the standard deviation is 0.8 inches. to. What percentage of the time last month's rainfall was greater than 4 inches? b. What percentage of the time was the rainfall less than 3 inches? c. A month is considered extremely wet if the rainfall is 10% higher for that month. How much rainfall must be in April for it to be considered an extremely wet month?
A. B.
Each of the following data sets has a mean of 40. 1. {38, 43, 47, 27, and 45} II. {41, 40, 39, 42, and 38} III. {59, 41, 53, 17, and 30} Estimate their standard deviations and list them from smallest to largest according to standard deviation size. O III, I, II O I, III, II O II, I, III O I, II, III
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?
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
1. According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. a. Find the proportion of men who sleep for more than 8 hours per night. b. Find the proportion of men who sleep for less than 6 hours per night. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
4. The lowest and the highest data value of a data set are 12 and 28 respectively, then the approximate standard deviation is:
According to a government study among adults in the 25 to 34-year age group, the mean amount spent per year on reading and entertainment is $1,994. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $350. a. What percent of the adults spend more than $2,500 per year on reading and entertainment? b. What percent spend between $2,500 and $2,800 per year on reading and entertainment?
1. The position number w(letter) tells us where in the alphabet the given letter is located. For instance: w("b") = 2. Find the mean, median and population standard deviation for the vowel position numbers in the English alphabet.
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. 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
1. The College of Knowledge gives an admission qualifying exam. The results are normally distributed with a mean of 500 and a standard deviation of 100. The admissions department would like to accept only students who score in the 65th percentile or better. Complete the chart below, and then determine which students would qualify and what score is associated with the 65th percentile. Which students qualify for admission? Student score Z-Score Percentile 530 570 650 800 540

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