Chapter 12, Problem 33E

(a)

To determine

To carefully explain your sampling strategy.

Explanation of Solution

It is given in the question that Sammy’s salsa, a small local company produces twenty cases of salsa a day. Each case contains $12$ jars and is imprinted with a code indicating the date and batch number. To help maintain consistency at the end of each day Sammy selects three jars of salsa, weighs the contents and tastes the product. Thus, the sampling strategy that is used is that we first select three cases at random, then select one jar randomly from each case.

(b)

To determine

To show how to use random numbers to pick three jars.

Explanation of Solution

It is given in the question that Sammy’s salsa, a small local company produces twenty cases of salsa a day. Each case contains $12$ jars and is imprinted with a code indicating the date and batch number. To help maintain consistency at the end of each day Sammy selects three jars of salsa, weighs the contents and tastes the product. Thus, we will use random numbers to pick three jars by using random numbers to choose three cases from number $61-80$ , then use random numbers between $01-12$ to select a jar from each case.

(c)

To determine

To explain did you use simple random sample.

Answer to Problem 33E

No, we have not used.

Explanation of Solution

It is given in the question that Sammy’s salsa, a small local company produces twenty cases of salsa a day. Each case contains $12$ jars and is imprinted with a code indicating the date and batch number. To help maintain consistency at the end of each day Sammy selects three jars of salsa, weighs the contents and tastes the product. Thus, we can say that from the information given that we have not use a simple random sample because this sampling used is a multistage sampling method.