A marketing team is targeting people who might buy a hybrid car. In their city, with a population of 30,000 people, 3,170 people either drive a hybrid car or have indicated on a recent survey that they would be interested in driving one. Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n

The population proportion is 0.1057.

For samples of size n: Mean = 0.1057, Standard deviation

Step-by-step explanation:

Central Limit Theorem for Proportions:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation

Population proportion:

Of 30,000 people, 3,170 people either drive a hybrid car or have indicated on a recent survey that they would be interested in driving one.

This means that

The population proportion is 0.1057.

Mean and standard deviation of the sampling distribution for samples of size n

By the Central Limit Theorem, the mean is

Standard deviation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5