3. The prize for winning a contest can be chosen from category A or category B. Prizes from category A have a mean of $1000 and a standard deviation of $50. Prizes from category B have a mean of $1000 and a standard deviation of $300.

a) Which category has LESS variation in the prize amounts, A or B?

b) What is an advantage to chosing a prize in category A? c) What is an advantage to chosing a prize in category B?

4. The weights of a National Lacrosse League team are shown below in pounds (Ibs). 160 170 170 175 180 185 188 190 190 190 194 195 200 200 200 205 205 210 210 210 210 215 245 a) Using your calculator, calculate the mean, standard deviation and median of this data set. Use inspection (this means use your own method of examing) to determine the mode of this data set. Round 2 your answers to the nearest tenth. Mean (Ibs) Standard Deviation (Ibs) Median (Ibs) Mode (Ibs]Unit 6 - Statistics Assignment b) Based on the above calculations and the characteristics of a Normal Distribution, provide a justification 2) for why is close to being normally distributed. c) Draw a normal curve that represents this data. 1 1) Assume that the mean and standard deviation of this lacrosse team are the same as the mean and standard deviation for th entire National Lacrosse League. If there are 218 players in the league, use 2) your normal distribution sketch above to calculate the approximate number of players that weigh over 231.3 lbs. e) Use your normal distribution sketch above to determine below what weight should there be approximately 15.83% of the National Lacrosse League players? 1)5. The sodium content in various brands of hot dogs was measured and the results are shown in the table below. The data for each type of hot dog is approximately normally distributed. Sodium Levels per Hot Dog for Various Brands (mg) Beef Meat Poultry Mean 401.2 418.5 459.0 Standard Deviation 99.8 91.1 82.2 Suppose a company is planning to introduce a new line of low-sodium hot dogs. The beef version will have 279 mg of sodium, the meat version will have 316 mg, and the poultry version will have 347 mg. a) Determine the z-score for each of the new low-sodium hot dogs. 3 b) Which type of new hot dog has the lowest sodium compared to other brands in its category? Explain. 2