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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 51E

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Question

The annual income of the 160 notaries in a large city is
a variable obeying a normal distribution. To estimate the
average annual income of notaries in this city, we take
without replacement a sample of 10 notaries and we find, in
this sample, an average annual income of $42,000 with a
sample standard deviation s = $4,000. Construct a confidence
interval at the 90% confidence level to estimate the
average annual income of notaries in this city.

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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