For each of the following three populations indicate what th

For each of the following three populations, indicate what the sampling distribution for samples of 25 would consist of: Customer receipts for a supermarket for a year. Insurance payouts in a particular geographical area in a year. Call center logs of inbound calls tracking handling time for a credit card company during the year. Sampling Distribution of the Proportion Consider a categorical variable that has only two categories, such as the customer prefers your brand or the customer prefers the competitor\'s brand. You are interested in the proportion of items belonging to one of the categories-for example, the proportion of customers that prefer your brand. The population proportion, represented by pi, is the proportion of items in the entire population with the characteristic of interest. The sample proportion, represented by p, is the proportion of items in the sample with the characteristic of interest. The sample proportion, a statistic, is used to estimate the population proportion, a parameter. To calculate the sample proportion, you assign one of two possible values, 1 or 0, to represent the presence or absence of the characteristic. You then sum all the 1 and 0 values and divide by n, the sample size. For example, if, in a sample of five customers, three preferred your brand and two did not, you have three 1s and two 0s. Summing the three 1s and two 0s and dividing by the sample size of 5 results in a sample proportion of 0.60.

Solution

(a)

Here sampling distribution consists of means of all possible samples of size 25 taken from the population \"Customer receipts for a supermarket for a year\".

Here each sample consists of 25 randomly selected customer receipts payouts from the population.

(b)

Here sampling distribution consists of means of all possible samples of size 25 taken from the population \"Insurance payouts in a particular geographical area in a year\".

Here each sample consists of 25 randomly selected insurance payouts from the population.

(c)

Here sampling distribution consists of means of all possible samples of size 25 taken from the population \"Call centre logs of inbound calls trading handling time for a credit card company during the year\"

Here each sample consists of 25 randomly selected call logs.