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 industrialchemicals in California and a random sample of six salesmen of industrial chemicals in Oregonmade over a fixed period of time:(California) x; : 40, 46, 61, 38, 55, 63, 36, 60, 51(Oregon) y; : 33, 62, 44, 54, 23, 42Using s 5% level of significance, test whether or not California salesmen are more efficient ingeneral. 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 $213.5per week with a standard deviation of $16.5, while 18 randomly surveyed females earn on theaverage $194.1 per week with a standard deviation of $18.0. Let µi denote the average wage ofmales and 42 the average of females. Using a 5% level of significance, test the null hypothesisthat 41 = H2 against the alternative that µi > µ2.

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(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.

MATLAB: An Introduction with Applications

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Publisher:Amos Gilat

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

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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