A restaurant records the amount of time customers wait for a table on Saturday evenings. The table to the right lists the frequency of wait times for the last100customers. Complete parts a) andb). Number of Minutes per Customer Frequency a. The approximate average wait time per customer is ____minutes. 0 to under 107b) Calculate the approximate variance and standard deviation of the wait time per customer. 10 to under 2019 20 to under 3010 30 to under 40 18 40 to under 50 30 50 to under 6016

Answered: Image /qna-images/answer/81453fea-cc32-4770-bbb2-4e561cf67333.jpgConsider the table for necessary calculations. Number of Minutes per Customer (x) Frequencies (f) Midpoint (x) f Times x (f × x) 0-10 7 5 (= (0 + 10)/2) 35 (= 5 × 7) 10-20 19 15 (= (10 + 20)/2) 285 (= 15 × 19) 20-30 10 25 (= (20 + 30)/2) 250 (= 25 × 10) 30-40 18 35 (= (30 + 40)/2) 630 (= 35 × 18) 40-50 30 45 (= (40 + 50)/2) 1350 (= 45 × 30) 50-60 16 55 (= (50 + 60)/2) 880 (= 55 × 16) Total 100 - 3430 Thus, the approximate average wait time per customer is 34.3 minutes.b) Consider the table for necessary calculations. Intervals Frequencies (f) Midpoint (x) f Times x (f × x) (x – x̅ ) (x – x̅ )2 f(x – x̅ )2 0-10 7 5 35 -29.3 858.49 6009.43 10-20 19 15 285 -19.3 372.49 7077.31 20-30 10 25 250 -9.3 86.49 864.9 30-40 18 35 630 0.7 0.49 8.82 40-50 30 45 1350 10.7 114.49 3434.7 50-60 16 55 880 20.7 428.49 6855.84 Total 100 180 3430 -25.8 1860.94 24251 Thus, the approximate variance and standard deviation of the wait time per customer are 24.959596 minutes and 15.65118513 minutes, respectively.

Answered: A restaurant records the amount of time…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

A restaurant records the amount of time customers wait for a table on Saturday evenings. The table to the right lists the frequency of wait times for the last 100 customers. Complete parts a) and b).	Number of Minutes per Customer	Frequency
a. The approximate average wait time per customer is ____ minutes.	0 to under 10	7
b) Calculate the approximate variance and standard deviation of the wait time per customer.	10 to under 20	19
	20 to under 30	10
	30 to under 40	18
	40 to under 50	30
	50 to under 60	16

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions