The annual dividend rates for a random sample of 16 companies in three different industries, utilities, banking, and insurance, were recorded. The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis that the dividend rates were equal. The mean square error (MSE) was 3.36. The following table summarized the results: UtilitiesBankingInsuranceNumber Sampled556Mean Annual Dividend Rate11.6215.417.4When comparing the mean annual dividend rate for companies in the insurance and utilities industries, which of the following 95% confidence intervals can be constructed? Multiple Choice 5.78 ± 2.160 × 2.40 5.78 ± 2.120 × 2.40 5.78 ± 2.160 × 1.11 5.78 ± 2.120 × 1.11

Given, Utilities Banking Insurance Number Sampled 5 5 6 Mean Annual Dividend Rate 11.62…

Answered: The annual dividend rates for a random…

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ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

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The annual dividend rates for a random sample of 16 companies in three different industries, utilities, banking, and insurance, were recorded. The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis that the dividend rates were equal. The mean square error (MSE) was 3.36. The following table summarized the results:

	Utilities	Banking	Insurance
Number Sampled	5	5	6
Mean Annual Dividend Rate	11.62	15.4	17.4

When comparing the mean annual dividend rate for companies in the insurance and utilities industries, which of the following 95% confidence intervals can be constructed?

Multiple Choice

5.78 ± 2.160 × 2.40
5.78 ± 2.120 × 2.40
5.78 ± 2.160 × 1.11
5.78 ± 2.120 × 1.11

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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