The household income (in $1000) last year had a normal distribution with a mean of $57. We want to test whether the average household income this year is less than the value last year. The following data represent income (in $1000) this year for a random sample of 16 households. Income ($1000) 9 33 39 17 28 33 32 26 31 19 71 45 91 79 44 83

The household income (in $1000) last year had a normal distribution with a mean of $57. We want to test whether the average household income this year is less than the value last year. The following data represent income (in $1000) this year for a random sample of 16 households. Income ($1000) 9 33 39 17 28 33 32 26 31 19 71 45 91 79 44 83

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The household income (in $1000) last year had a normal distribution with a mean of $57.

We want to test whether the average household income this year is less than the value last year.

The following data represent income (in $1000) this year for a random sample of 16 households.

Income ($1000)
9
33
39
17
28
33
32
26
31
19
71
45
91
79
44
83

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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