A)Determine the test statistic. B) Determine the P-Value
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A bank with branches located in a commercial district of a city and in a residential area has the business objective of developing an improved process for serving customers during the noon-to-1 P.M. lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch. Complete A & B
A)Determine the test statistic.
B) Determine the P-Value
A)
The test statistic and P-value value is obtained by using EXCEL. The software procedure is given below:
- Enter the data.
- Select Data > Data Analysis >t-Test: Two-Sample Assuming Equal Variances> OK.
- Enter Variable 1 Range as Commercial.
- Enter Variable 2 Range as Residential.
- Enter Hypothesized Mean Difference as 0.
- Mark Labels in First Row.
- Click OK.
The output using EXCEL is as follows:
From the output, the test statistic is -4.051.
Thus, the test statistic is -4.051.
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