Suppose the sampling distribution for average calories in bananas is normally distributed with a mean of 105 and a standard error of 4.  Find the range of central 99.7% of sample means.

Suppose that you wanted to estimate the population mean amount spent on snacks purchased at vending machines. In 2010, a survey found the sample standard deviation was 15 dollars. What sample size would you need to collect in order to make a 95% confidence interval with a margin of error of 2.25 dollars?

The amount of calories in a Big Mac at McDonalds is Normally distributed with a mean of 563 calories and a standard deviation of 35. Suppose that a random sample of 10 small servings was collected. What is the probability that the sample mean is greater than 590 calories?

Suppose that you wanted to estimate the population mean amount spent on soft drinks purchased at vending machines by UF students per day. In 2010, a survey found the sample standard deviation was 5 dollars. What sample size would you need to collect in order to make a 95% confidence interval with a margin of error of 0.50 dollars?

Suppose that you were going to take a sample of Florida students. You were interested in estimating the proportion who had ever called/emailed/spoken with their congressmen. You believe that the proportion is close to 0.10; however, you wanted to be 95% confident with a margin of error equal to 0.028. What sample size do you need?

The average salary for an exercise specialist is $41,000. The standard deviation is about $3000. Suppose that a sample of 50 was taken, what is the approximate distribution of the sampling distribution of the sample mean?

The Queensland male koala has an average weight of 6.5kg. Male Koalas weights are normally distributed with a standard deviation of 0.82. Suppose that 10 randomly selected koalas were selected. What is the sampling distribution of the sample mean?

Suppose that you were going to take a sample of Florida students. You were interested in estimating the proportion who had ever called/emailed/spoken with their congressmen. You were uncertain what this proportion was; however, you wanted to be 95% confident with a margin of error equal to 0.028. What sample size do you need?

The amount of calories in a Big Mac at McDonalds is Normally distributed with a mean of 563 calories and a standard deviation of 35. Suppose that a random sample of 10 small servings was collected. What is the probability that the sample mean is greater than 570 calories?

Besides random sampling, what conditions are necessary for the sampling distribution of the sample proportion to be approximately Normally distributed? (There may be more than one answer. Please check all that apply.)