Question

the owner of a grocery store chain in a large city wants to find average weekly expenditure on groceries of all households. 50 households are randomly selected for the survey. state if the following statements are true/false
true false
sample is the 50 households, and population is all house households in the city.
sample is all households, and population is 50 households in the city
average weekly expenditure on groceries of all households is the statistic
average weekly expenditure on groceries of all households is the parameter
which of the following is a cluster sample? *
a sample of 10 students are selected from math 3 plus class using random number generator
a sample of 5 girls and 5 boys are selected from each girls group, and boys group of the class
the class is divided into 3 groups, and a group is picked at random, and all students of that group is selected

Explanation:

1. In sampling, the sample is a subset of the population. Here, 50 households are the sample and all households in the city are the population, so the first statement is true. The second statement has the sample - population definitions reversed, so it's false.
2. A parameter is a characteristic of a population. The average weekly expenditure of all households (the population) is a parameter, not a statistic (which is a characteristic of a sample). So the third statement is false and the fourth is true.
3. In cluster sampling, the population is divided into clusters, and entire clusters are selected. In the given options, when the class is divided into 3 groups and a group is picked at random with all students of that group selected, it is cluster sampling. The first option is simple random sampling and the second is stratified sampling.

Answer:

1. True
2. False
3. False
4. True
5. The class is divided into 3 groups, and a group is picked at random, and all students of that group is selected