There are two popular Cyber Cafe's (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 costumer, 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. a.) Explain whether the owner's response to the costumers 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. b.)What similarities and differences are observed based on the average download time in Cafe A and in cafe B? c.) Compare the download time between two cafe's with respect to variability and shape of the data distribution. 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? [3+2+2.5+2.5]

A big computer supplier in Kathmandu used to sell large number of computers in each year. His interest is to increase his sales volume in each year for which the supplier has started to take the help of advertisement and allocated some advertisement expenditure in his annual budget each year. The supplier wants to quantify the effect of advertise expenditure on sales of computers. The advertisement expenditure (in lakhs rupees) and their corresponding sales from the computers (in crores rupees) is tabulated as follows.(Assuming that the relationship between the advertisement expenditure and sales is linear.) a.) Perform appropriate statistical analysis and quantify the effect of advertisement on sales obtained from the computer selling. Also interpret the results. b.) Estimate the sales corresponding to advertising expenditure of Rs. 45 lakhs. [5+5+0]

The following data represent the number of days absent of IT faculty per semester in a population of 4 faculties in an academic institute. 1, 3, 6, 7. a.) Select all possible samples of size n = 2 with replacement, and construct the sampling distribution of mean. b.) Compare the population mean and mean of all sample means. Are they equal? c.) Compare the shape of the population data and shape of the sampling distribution. Do you find any differences? Comment. d.) Compare the population standard deviation and standard deviation of sample means and explain your observation. [2.5+2.5+2.5+2.5]