Warm Up Serena Williams and Novak Djokovic both competed at the US Open for tennis last week. Serena can serve a ball at 121 mph while Novak can serve.

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Warm Up Serena Williams and Novak Djokovic both competed at the US Open for tennis last week. Serena can serve a ball at 121 mph while Novak can serve at 129 mph. Assume that a survey of professional tennis players found the following data on serve speeds: Mean Std Dev Women 104 8 Men 118 9 1) Who has the faster serve considering gender? Explain your answer. 2) Adjust Novak Djokovic’c serve speed so that it would be the same as Serena’s compared to their gender groups.

This data set is approximately normal.

This data set is not roughly normal - it has an outlier.

This data set is right skewed and is not normal.

Practice The following data is the egg weight (in grams) for a sample of 10 eggs (Indian Journal of Poultry Science, 2009). Use a normal probability plot to assess if this data is approximately normal. 53.04 53.50 52.53 53.00 53.07 52.86 52.66 53.23 53.26 53.16

Activity – Assessing Normality We will generate data on tossing a penny as close to the wall as possible. Your partner is sitting across from you. You will stand about 6 feet from the wall and toss 2 pennies, trying to get as close to the wall as possible. Your partner will measure the distance from the penny to the wall to the nearest inch. Each person will toss 2 pennies with their partner measuring the distance. Write your data on the board.

Assessing Normality 1) Enter the data into L1 and determine the mean and standard deviation. 2) Make a histogram of the data. Is it roughly normal or not? 3) Sort your data (use SortA command) and then calculate the percentage of your data within +/- 1 std dev of the mean and within +/- 2 std dev of the mean. Are the percentages close to 68% and 95%? What does this mean? 4) Make a normal probability plot of your data using a graphing calculator and sketch a copy. Comment on the linearity of the normal probability plot. 5) Summarize your results – Is the data approximately normal?

Chapter 2 Review The gas tank for a certain car is designed to hold 15 gallons. Suppose that distribution of the actual gas tank sizes is roughly normal with a mean of 15.0 gallons and a standard deviation of 0.15 gallons. 1) What proportion of the gas tanks hold between 14.8 and 15.2 gallons? 2) What proportion of the tanks hold more than 15.5 gallons? 3) The customer will not accept a tank that holds less than 14.6 gallons. What proportion of the gas tanks will be rejected by the customer?