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 ? (a=0.10) 1) What is the null and alternative hypothesis? choose the letter of you answer Blank 1 a Ho : με30 and Ha: μ < 30 b Ho : u=30 and Ha : p > 30 c Ho : u-30 and Ha : p* 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 bT =-2.12 cZ = -0.47 dT= -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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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 ? (a=0.10)
1) What is the null and alternative hypothesis? choose the letter of you answer Blank 1
a Ho : u=30 and Ha :p< 30
b Ho : p=30 and Ha :µ > 30
c Ho : p-30 and Ha:p+ 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
bT = -2.12
cZ = -0.47
dT = -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.
Transcribed Image Text: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 ? (a=0.10) 1) What is the null and alternative hypothesis? choose the letter of you answer Blank 1 a Ho : u=30 and Ha :p< 30 b Ho : p=30 and Ha :µ > 30 c Ho : p-30 and Ha:p+ 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 bT = -2.12 cZ = -0.47 dT = -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.
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