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Description: A 30 randomly selected women living in a certain area was selected as part of a study on determining the hemoglobin levels of women of that area. The average level was found to be 9.5. In a very large earlier study the st. dev was reported to be 1.3.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A 30 randomly selected women living in a certain area was selected as part of a study on determining the hemoglobin levels of women of that area. The average level was found to be 9.5. In a very large earlier study the st. dev was reported to be 1.3.

Assuming the standard deviation is unchanged and that the hemoglobin level is normally distributed, provide an expression for calculating a 95% confidence the interval for the mean hemoglobin level of women in the area under consideration

Select one:

A. 9.5 – 0. 95 < x' <9.5 + 0.95

1.9 – 0. 95 <x' <1.9 + 0.95

c. 9.03 < x' < 9.97

A. 1.3 -0.47 < x' <1. 3 + 0.47

e. None of these

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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