Question
A sample of 100 bank customer waiting times are given in the following table: Waiting Times (in Minutes) for the Bank Customer Waiting Time Case
A sample of 100 bank customer waiting times are given in the following table:
Waiting Times (in Minutes) for the Bank Customer Waiting Time Case | ||||||
5.4 | 5.8 | 8.4 | 6.7 | 11.5 | 10.2 | 9.7 |
.7 | 2.5 | 6.4 | 5.0 | 4.3 | 7.9 | 9.0 |
4.6 | .2 | 5.4 | 5.8 | 5.4 | 8.7 | 9.1 |
10.6 | 7.1 | 4.2 | 6.8 | 4.1 | 10.2 | .8 |
5.2 | 1.3 | 5.2 | 4.6 | 4.8 | 7.4 | .0 |
2.2 | .2 | 5.9 | 4.9 | 6.0 | 8.4 | .3 |
3.7 | .8 | 4.6 | 6.1 | 5.8 | 10.0 | .0 |
4.6 | 3.9 | 4.4 | 4.6 | 6.8 | 9.8 | .9 |
5.1 | 11.9 | 6.9 | 6.7 | 4.5 | 10.3 | .3 |
3.5 | 4.3 | 6.2 | 4.7 | 4.7 | 8.9 | 1.6 |
7.9 | 11.2 | 4.1 | 4.1 | 5.2 | 7.0 | |
5.8 | 9.0 | 4.3 | 6.4 | 6.3 | 10.7 | |
7.4 | 8.1 | 5.4 | 6.5 | 4.8 | 7.0 | |
5.4 | 6.3 | 6.2 | 4.7 | 4.1 | 8.9 | |
5.4 | 2.3 | 5.7 | 6.6 | 8.2 | 10.3 | |
A sample of 100 bank customer waiting times are given in the following table:
The mean and the standard deviation of the sample of 100 bank customer waiting times are
xx
= 5.738 and s = 2.847.
(a) Use the Empirical Rule to calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all possible bank customer waiting times. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)
(b) Does the estimate of a tolerance interval containing 68.26 percent of all waiting times provide evidence that at least two-thirds of all customers will have to wait less than 9 minutes for service?
c)How do the percentages of the 100 waiting times that actually fall into the intervals [xxs], [xx 2s], and [xx 3s] compare to those given by the Empirical Rule?(Round your answers to the nearest whole number.)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started