1. Use the following for the next 5 questions. In six packages of "The Flintstones Real Fruit Snacks" there were five Bam-Bam snack pieces. The total number of snack pieces in the six bags was 68. We wish to calculate a 96% confidence interval for the population proportion of Bam-Bam snack pieces.

a) Which distribution should you use for this problem?

• We need to use a 1-sample-z-interval that uses a normal distribution.
• We need to use a 6-sample-z-interval that uses a normal distribution.
• We need to use the student's t-distribution.

b) Calculate p'.

c) Construct a 96% confidence interval for the population proportion of Bam-Bam snack pieces per bag. State the confidence interval.

d) Calculate the error bound.

e) Do you think that six packages of fruit snacks yield enough data to give accurate results? Explain why or why not.

2. Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours.

a) Find sample mean, sample standard deviation and n.

b) Which distribution should you use for this problem?

• We need to use a 1-sample-z-interval that uses a normal distribution.
• We need to use a 1-sample-z-interval that uses a uniform distribution.
• We need to use the student's t-distribution.

c) Construct a 95% confidence interval for the population mean time wasted. State the confidence interval.

d) Calculate the error bound.

e) Explain in a complete sentence what the confidence interval means.

3. Forbes Magazinepublished data on the best small firms in 2012. These were firms that had been publicly traded for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The Table 8.13 shows the ages of the corporate CEOs for a random sample of these firms.

Table 8.13 shows the ages of the corporate CEOs for a random sample of these firms . 48 58 51 61 56 59 74 63 53 50 59 60 60 57 46 55 63 57 47 55 57 43 61 62 49 67 67 55 55 49