Question

Saved 2023 A sample of 100 bank customer waiting times are given in the following table: Waiting Times (in Minutes) for the Bank Custoner Waiting Tine Case 4.5 9.7 11.8 10.4 4.2 7.e 5.5 8.7 8.8 5.1 5.4 4.5 6.2 3.9 8.7 7.6 4.7 4.0 4.0 10.1 .3 2.8 5.4 6.5 9.7 5.2 7.0 5.8 4.5 8.2 1.9 5.2 4.1 7.9 5.3 8.8 6.2 4.1 4.1 4.5 10.4 .2 7.0 6.8 5.5 8.3 11.3 5.9 8.8 2.8 6.7 5.5 5.e 9.3 7,4 9.2 2.4 6.9 5.8 6.1 4.9 4.9 7.5 6.5 4.8 6.9 7.0 4.9 10.3 2.1 2.3 8.e 5.4 10.2 2.2 5.5 7,0 5.6 10.9 4.3 4.5 4.3 4.9 8.8 6.1 6.4 7.4 7.2 6.6 6.6 7.3 .6 6.5 8.7 8.7 5.7 5.1 8.5 2.8 A sample of 100 bank customer waiting times are given in the following table: 6.121 and s 2.496. The mean and the standard deviation of the sample of 100 bank customer waiting times are z (a) What does the histogram in Ejqure 2.16 say about whether the Empirical Rule should be used to describe the bank customer waiting times? somewhat reasonable It 40 Saved am 2023 G (b) 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.) x(bar) t s x(bar) t 2s x(bar) t 3s] 45 (c) 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? because the upper limit of the % interval is 9 minutes (d) How do the percentages of the 100 waiting times that actually fall into the intervals [ sl 2s and :3s) compare to those given by the Empirical Rule? Do these comparisons indicate that the statistical inferences you made i parts band care reasonably valid? (Round your answers to the nearest whole number.) % fall into (x(bar) s % fall into (x(bar) 2 % fall into (bar) 3s they reasonably valid

Answer 1

for part a) please provide histogram

Given that 6.12 .496 (b) 6-121 + 2.496 3- er 9-8 ax(2.496 6.121 T $7 11-113 1 G 121 3 (2-496) 1-367 13.609 (9 yesbecause the upper imit the 68-36 7 las than inerval is 9mirites (d) 68 taddesinto s 967 falls into 100 Reajonaily Vid alls into 1ss, Yes, Thay are ti