(a) The following are the numbers of sales which a random sample of nine salesmen of industrial chemicals in California and a random sample of six salesmen of industrial chemicals in Oregon made over a fixed period of time: (California) r; : 40, 46, 61, 38, 55, 63, 36, 60, 51 (Oregon) y; : 33, 62, 44, 54, 23, 42 Using s 5% level of significance, test whether or not California salesmen are more efficient in general. Write down the null and alternative hypothesis first.
(a) The following are the numbers of sales which a random sample of nine salesmen of industrial chemicals in California and a random sample of six salesmen of industrial chemicals in Oregon made over a fixed period of time: (California) r; : 40, 46, 61, 38, 55, 63, 36, 60, 51 (Oregon) y; : 33, 62, 44, 54, 23, 42 Using s 5% level of significance, test whether or not California salesmen are more efficient in general. Write down the null and alternative hypothesis first.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:Q2. Answer the following two questions under the assumption of normal populations with equal vari-
ances.
(a) The following are the numbers of sales which a random sample of nine salesmen of industrial
chemicals in California and a random sample of six salesmen of industrial chemicals in Oregon
made over a fixed period of time:
(California) x; : 40, 46, 61, 38, 55, 63, 36, 60, 51
(Oregon) y; : 33, 62, 44, 54, 23, 42
Using s 5% level of significance, test whether or not California salesmen are more efficient in
general. Write down the null and alternative hypothesis first.
(b) Suppose that we wish to investigate whether males and females earn comparable wages in a cer-
tain industry. Sample data show that 14 randomly surveyed males earn on the average $213.5
per week with a standard deviation of $16.5, while 18 randomly surveyed females earn on the
average $194.1 per week with a standard deviation of $18.0. Let µi denote the average wage of
males and 42 the average of females. Using a 5% level of significance, test the null hypothesis
that 41 = H2 against the alternative that µi > µ2.
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