A. State the null and alternative hypotheses to determine whether Amchine B has a higher production rate than Machine A. b. Find the mean and standard deviation for the difference. c. Compute the test statistic.
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.
- Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two machines for a month. A random sample of 5 employees has been taken. These employees have gone through a training session on both machines. Below you are given information on their productivity rate on both machines. (Let the difference d = Machine B - Machine A.)
Productivity Rate
Person Machine A Machine B
1 42 48
2 53 58
3 51 47
4 53 55
5 47 53
A. State the null and alternative hypotheses to determine whether Amchine B has a higher production rate than Machine A.
b. Find the mean and standard deviation for the difference.
c. Compute the test statistic.
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