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1. A group of Brigham Young University - Idaho students (Matthew Herring, Nathan Spencer, Mark Walker, and Mark Steiner) collected data in November 2005 on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed was 25 mph. The recorded speed of 14 randomly selected vehicles is given below: 20, 24, 27, 28, 29, 30, 32, 33, 34, 36, 38, 39, 40, 40

a. Assuming speeds are approximately normally distributed, construct a 95% confidence interval for the true mean speed of drivers in this construction zone. Interpret the interval.

b. Construct a 99% confidence interval for the true mean speed of drivers in the construction zone. Interpret the interval.

c. Compare the widths of the 95% and 99% confidence intervals.

d. What conclusions do you draw about the speeds people drive in this construction zone?

Research Activity

a. Select a random sample of either 10 males or 10 females from your classes. Ask each person in your random sample to state their height in inches. IMPORTANT: Choose students who all have the same gender. Convert the hights to inches. For example, a 5-foot 10 1/2-inch person would have a height of 5(12) + 10.5 = 70.5 inches.

To help you organize your data, complete the chart on the back. Have the classmates you select initial in the space provided as proof tha you actually surveyed them about their height.

I DID THAT PART IT IS AS FOLLOWS:

Ray 5'11"

Lee 5'8"

Travis 5'4"

Matt 6'0"

Brad 6'4"

Randy 6'0"

Glenn 6'3"

Darrel 5'11 3/4"

Rodney 5'10"

Doug 6'0"

b. Are male and female heights normally distributed? Research the internet to determin if normal distribution exist for heights. State the website where you found your information.

c. If you find heights are approximately normally distributed, construct a 95% confidence interval for the true mean height of adults of the chosen gender.

d. Interpret the confidence interval you constructed.

e. Research the internet to determine the mean height of Anericans. Evaluate the confidence interval you constructed in light of your findings. State the website where you found you information.

Thank you SO MUCH!

Sheila

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