please perform calculation for the question i will do upvote Question $1$: Check whether an average customer is able to distinguish between the taste of Pepsi and Coca Cola, when served without labels at $4$ degree centigrade temperature. Define the parameter you want to estimate and conduct a pilot study to obtain an initial estimate of the parameter of interest and, more importantly, an estimate of the variability associated with the estimator. A pilot study is a small experiment $($perhaps $15$ to $20$ observations$)$ used to gain information about some phenomenon. The purpose of the study is to help plan more elaborate future experiments. Using the results of your pilot study, determine the sample size necessary to estimate the parameter to within a reasonable bound $($of your choice$)$ with a $95\%$ confidence interval. Then test the hypothesis that the two brands of cola taste the same.