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(CORRECT ANSWER) MATH225N Week 5 Assignment : Central Limit Theorem for Proportions

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Question

From recent census data, it is discovered that the proportion of the adults in the United States who are first generation Americans is 14%.  For a random sample of size 500, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?

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Question

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=121.

Round all answers to 3 decimal places.

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Question

A credit card company surveys its customers to determine the number of times they use the card each month. There are 5,500 customers and 2,756 indicate that they use the card at least twice each month.

Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=70 customers.

Round all answers to 3 decimal places.

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Question

A dental student is conducting a study on the number of people who visit their dentist regularly. Of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year.

Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=60.

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Question

Of the 13,500 savings accounts in a bank, 4,675 belong to people younger than 40 years old. The bank president would like to increase her institution’s marketing strategy to younger customers, so she is examining the population proportions in order to create a statistical study.

Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=400.

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Question

A baseball team calls itself “America’s Favorite Team,” because it has 90,000 fans on social media out of 2,210,000 social media users.

Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=1,000.

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Question

A study by doctors of children attending a certain elementary school finds that, of 812 students, 245 watch more than 2 hours of television each day.

Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=100 students.

Ans.

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