A Sample oF mean. Iso bulbs oF manupacturer A lifetimo of 1400 haurs with a Standard deviation op 120hours.. A samplo or $200 bulbs lifetime daviation manufaltwrer B hada of 1200 hours moar with. a Standard of so hours.botermiine the 99 p the dirference Confidence interval kor be twaen the two popeulations.
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.
The 99% confidence interval for the difference between the two populations is obtained below:
From the given information, the mean life time x1-bar = 1400 the mean life time x2-bar = 1200. data suggest that σ1 = 120 , σ2 = 80, sample size (n1) = 150 and sample size (n2) = 200
Critical value:
From the standard normal distribution table, for 99% confidence level the critical value (z*) is 2.58.
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