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 95% of sample means.

Suppose that 60% of Americans planned to vote in the next election. You take a random sample of 100 people and ask them if they plan on voting in the next presidential election.  What approximate distribution would you expect for the sampling distribution of the sample proportion of Americans who planned on voting?

In the 2012 presidential election, 57.5% of eligible voters cast their vote. Suppose that 200 randomly selected eligible voters were asked if they had voted in the 2012 presidential election. What approximate distribution would you expect for the sampling distribution of the sample proportion of Americans who voted in the 2012 presidential election?  

Suppose that you had the following hypothesis Ho: p = 0.5 versus Ha: p > 0.5. If you had the test statistic equal to 2.24, what would be the p-value?

Suppose that you wanted to estimate the population proportion of students at UF that approved of the job that congress was doing. You decided to take a sample, but you needed to determine what size sample to take. You were uncertain what this proportion would be. You wanted to be 95% confident and to have a margin of error of 0.055. What size sample would you need? 

Suppose the sampling distribution for average height for soccer players is normally distributed with a mean of 71.5 and a standard error of 2 inches.  Find the range of central 68% of sample means.

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?