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WHAT IS THE EXPECTED VALUE OF THE SAMPLE PROPORTION?

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WHAT IS THE STANDARD ERROR OF THE SAMPLE PROPORTION?

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Many people apply for jobs to serve as paramedics or firefighters, yet they cannot complete basic physical fitness standards. A study found that 77% of all candidates for paramedic and firefighter positions were overweight or obese (Obesity, March 19, 2009). a) What are the expected value and the standard error of the sample proportion derived from a random sample of 100 candidates for paramedic or firefighter positions? b) What are the expected value and the standard error of the sample proportion derived from a random sample of 200 candidates for paramedic or firefighter positions? c) Comment on the value of the standard error as the sample size gets larger.

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DEFINE THE CENTRAL LIMIT THEOREM FOR THE SAMPLE PROPORTION?

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Consider the information presented in the introductory case of this chapter. Recall that Anne Jones wants to determine if the marketing campaign has had a lingering effect on the proportion of customers who are women and teenage girls. Prior to the campaign, 43% of the customers were women and 21% were teenage girls. Based on a random sample of 50 customers after the campaign, these proportions increase to 46% for women and 34% for teenage girls. Anne has the following questions. If Starbucks chose not to pursue the marketing campaign, how likely is it that 46% or more of iced-coffee customers are women? If Starbucks chose not to pursue the marketing campaign, how likely is it that 34% or more of iced-coffee customers are teenage girls?

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DEFINE THE FINITE POPULATION CORRECTION FACTOR FOR THE SAMPLE MEAN?

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A large introductory marketing class has 340 students. The class is divided up into groups for the final course project. Connie is in a group of 34 students. These students had averaged 72 on the midterm, when the class as a whole had an average score of 73 with a standard deviation of 10. Calculate the expected value and the standard error of the sample mean based on a random sample of 34 students. How likely is it that a random sample of 34 students will average 72 or lower?

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DEFINE THE FINITE POPULATION CORRECTION FACTOR FOR THE SAMPLE PROPORTION?

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