1. Suppose population size N = 10,000The College Board reported the following mean scores for the three parts of the Scholas-tic Aptitude Test (SAT) (The World Almanac, 2009):Critical Reading502515MathematicsWriting494Assume that the population standard deviation on each part of the test is o = 100.a. What is the probability that a random sample of 90 test takers will provide a samplemean test score within 10 points of the population mean of 502 on the Critical Read-ing part of the test?b. What is the probability that a random sample of 90 test takers will provide a samplemean test score within 10 points of the population mean of 515 on the Mathematicspart of the test? Compare this probability to the value computed in part (a).c. What is the probability that a random sample of 100 test takers will provide a samplemean test score within 10 of the population mean of 494 on the writing part of the test?Comment on the differences between this probability and the values computed in parts(a) and (b).

Given that, The population standard deviation on each part of the test is σ=100…

Answered: 1. Suppose population size N = 10,000…

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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A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 57% C: Scores below the top 43% and above the bottom 18% D: Scores below the top 82% and above the bottom 8% F: Bottom 8% of scores Scores on the test are normally distributed with a mean of 76.376.3 and a standard deviation of 7.77.7. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
The normal distribution plays an important role in statistics. Write a briefdescription on each of the following aspects: i) the key features of a normaldistribution; ii) two variables which occur naturally as a normal distribution; iii) a variable where you would prefer to use the median as the measure of centraltendency.
Answer.
An instructor selected a sample of the following quiz scores(out of possible 10 points) for 12 students in one of his classes: 9 10 2 6 7 7 4 3 3 8 5 7 The standard deviation for this set of scores is what?
A. Find the sample meanB. Find the sample standard deviation C. Construct a 98% confidence interval for the population mean(please show what numbers you are putting into the formula for part b)
. A division-wide aptitude test in Mathematics was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal population.a. What is [the minimum score to belong to the upper 10% of the group?
In a scholastic aptitude test, mean score for the three parts are:Critical reading 410Mathematics 425Writing 480Assume that the population variance on each part of the test is 6400. What is the probability a sample of 100 test takers will provide a sample mean test score within 10 points of the population mean of Critical Reading part of the test?
The ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n (sample size) sample mean ( ) population standard deviation West 33 25.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for the previous problem? (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311). Round your answer to 3 decimal places.
Find the probability of getting below one of the data points in the attached image
Exploration 4. Assume that 5 students taking a statistics course having the following ages: 17 33 29 20 45 Mean a. Find the mean and population standard deviation of the data set of ages. Standard Deviation b. Assume that random samples of size n = 2 are selected with replacement. Make a list of all of the possible samples of size 2. They are selected with replacement, i.e. the same student could be chosen twice. Also, selecting the age of 17 first and 33 second is different from selecting 33 first and 17 second. You need to make a list of all the possible outcomes (there should be 25.....) Find the mean of each sample and construct a table representing the sampling distribution of the mean.
4

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