Answered: The IE Dept. is interested in the mean…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

The IE Dept. is interested in the mean age of a certain population. A random sample of 10 individuals drawn from the population has a mean of 27. Assuming that the population is approximately normally distributed with variance 20, can we conclude that the mean is different from 30 years ? (α=0.10)

1) What is the null and alternative hypothesis? choose the letter of you answer Blank 1

a Ho : μ=30 and Ha : μ < 30

b Ho : μ=30 and Ha : μ > 30

c Ho : μ=30 and Ha : μ ≠ 30

2) What is the critical region? Choose the letter of you answer Blank 2

a + /- 1.96

b +/- 1.645

c +/- 1.0

d +/- 1.33-1.96

3) What is the computed test statistic? Choose the letter of you answer Blank 3

a Z = -2.12

b T = -2.12

c Z = -0.47

d T = -0.47

4) Can we conclude that the mean is different from 30 years ? Choose the letter of you answer Blank 4

a Yes, we can conclude that the mean is different from 30.

b No, we cannot conclude that the mean is different from 30.

c Yes, we can conclude that the mean is less than 30.

d No, we can conclude that the mean is greater than 30.

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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