Answered: 2. The average number of prescriptions…

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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2. The average number of prescriptions filled at a pharmacy per person in the
United States in 2019 was 11.6. An Illinois health official wants to test
whether or not the mean number of prescriptions per capita in Illinois is
different than 11.6. They randomly sample 104 Illinois residents and
compute a sample mean of 10.9 prescriptions per person. Assume that the
population standard deviation is known to be σ = 3.2 prescriptions per
person. The official will conduct the test at a 5% significance level.

a. State hypotheses to be tested.
b. Is this test right-tailed, left-tailed or two tailed

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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