Answered: Assume that the differences are…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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Question

Assume that the differences are normally distributed. Complete parts (a) through (d) below.

Observation	1	2	3	4	5	6	7	8
Upper X Subscript iXi	52.1	47.4	47.6	47.3	47.3	47.4	48.8	49.2
Upper Y Subscript iYi	53.9	48.1	49.7	51.2	48.5	49.8	52.1	48.4

(a) Determine

d Subscript i Baseline equals Upper X Subscript i Baseline minus Upper Y Subscript idi=Xi−Yi

for each pair of data.

Observation	1	2	3	4	5	6	7	8
di	negative −1.8	negative −0.7	negative −2.1	negative −3.9	negative −1.2	negative −2.4	negative −3.3	0.8

(Type integers or decimals.)

(b) Compute

d overbard

and

s Subscript dsd.

d overbard=nothing

(Round to three decimal places as needed.)

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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