0 1

Basic Statistics02.5 marksNumerical: descriptive statistics comparisonComparison of consistency between datasets

Cyber Cafe Download Time Analysis There are two popular Cyber Cafes (namely Cafe A and Cafe B) in Kathmandu located at Thamel area. Each of them has good number of computers in the cyber and maintains peace, comfort and good working environment. Each customer, before entering into the cafe, asks to

Cyber Cafe Download Time Analysis

There are two popular Cyber Cafes (namely Cafe A and Cafe B) in Kathmandu located at Thamel area. Each of them has good number of computers in the cyber and maintains peace, comfort and good working environment. Each customer, before entering into the cafe, asks to the cafe owner about the average time to download an image file since the internet in Kathmandu is a bit of sporadic. Each of them replied that the time to download an image file is on an average no more than 70 seconds. The following is the data of downloading time for an image file experienced by 8 customers in each cafe in some random 8 different days.

$$\begin{array}{|c|c|}\hline \text{Cafe A (in sec)} & \text{Cafe B (in sec)} \ \hline 70 & 70 \ 55 & 75 \ 55 & 72 \ 45 & 73 \ 40 & 73 \ 80 & 80 \ 75 & 74 \ 69 & 40 \ \hline \end{array}$$

a.) Explain whether the owner's response to the customers are satisfied in each cafe? Even having the average waiting time within the owner's limit, is there any further comments on the data with reference to measures of central tendency you have computed? Discuss. [3]

b.) What similarities and differences are observed based on the average download time in Cafe A and in Cafe B? [2]

c.) Compare the download time between two cafes with respect to variability and shape of the data distribution. [2.5]

d.) On the basis of your statistical analysis, which cafe would be suggested to the customers so that one can download an image file in a lesser time? [2.5]

Cafe A (sec) Cafe B (sec) ------ 70 70 55 75 55 72 45 73 40 73 80 80 75 74 69 40 - Sample size each: $n = 8$ - Owner's claimed limit: average download time $\leq 70$ sec --- Mean: Cafe A: $\bar{x}A = \dfrac{70+55+55+45+40+80+75+69}{8} = \dfrac{489}{8} = 61.125$ sec Cafe B:

Up nextQuestion A big computer supplier in Kathmandu used to sell large number of computers in ea