question archive 1) 20% of ACME's employees are senior citizens

1) 20% of ACME's employees are senior citizens

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1) 20% of ACME's employees are senior citizens. What is the probability that in a random sample of 100 employees, that the sample proportion of senior citizens will be less than 15%? Provide a diagram.

2) A company takes a sample of 5 employees and finds that the sample mean hourly rate was $175 with a sample standard deviation of $30. Construct a 90% confidence interval for the population average hourly rate of all employees.

3) From a sample of 400 of its customers, DELITE DONUTS finds that 17% prefer chocolate donuts. Using a 95% level of confidence, estimate the proportion of all customers who prefer chocolate donuts. 

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