For this CPA you will draw a sampling distribution of sample means. We will draw from the following population: The average ride time for rollercoasters at Holiday World amusement park in Santa Claus, Indiana. For those of you not from around Indiana, this is a real place.

Holiday World has 5 roller coasters:

Roller Coaster Name	Ride Time
The Legend	2.0 minutes
The Raven	1.5 minutes
The Voyage	2.75 minutes
Thunderbird	1.3 minutes
Howler	0.4 minutes

Average ride time for roller coasters at Holiday World: 1.59 minutes

Standard deviation of ride times for roller coasters at Holiday World: 0.78 minutes

Taking a sample size of 2 roller coasters, find all of the possible combinations of two roller coasters from the list of five above. (Note that selecting The Legend and The Raven is the same as selecting The Raven and The Legend. ) There should be 10 total combinations. For each combination, calculate the average ride time between the two roller coasters. Make a frequency table with the following bins: under 0.5 minutes, 0.5 to 1.0 minutes, 1.0 to 1.5 minutes, 1.5 to 2.0 minutes, and 2.0 to 2.5 minutes. Enter the counts for each bin and then make a histogram from your frequency table.

AFTER FINDING THE INFORMATION ABOVE, ANSWER THE TWO QUESTIONS BELOW!

This week, for CPA N, you created a sampling distribution of sample means regarding the average ride time of two roller coasters at Holiday World Amusement park. In this discussion board, refer to your histogram, then think about and respond to the following questions:

1. Compare the average mean ride time in your sampling distribution (the average of the 10 sample means) with the population average ride time. Were the two numbers close? Was the center of the sampling distribution higher or lower than the center of the population mean?

2. Do you believe your sampling distribution is nearly normal? Explain why. Think about how you would calculate the standard deviation in a sampling distribution of means. Is roughly 68% of the data within one standard deviation of the center? 95% within two standard deviations? 99.7% within 3?