Answered: The variable of interest in an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The variable of interest in an investigation is the score obtained by two populations of final-year students from a mathematics achievement test.The researchers assume that the scores of the two populations were normally distributed with means μ₁=50, μ₂=40 and variances σ²₁=25, σ²₂=49 a random sample of 10 students. selects from the first population and another independently the first of 12 students from the second population

a) What is the probability that the difference between the sample means 1 minus 2 is between 5 and 15 points?

b) What must be the minimum size of the samples so that less than 5% of the average of the students in sample 1 has a maximum advantage of 7 points over the average of the students in sample 2?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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