Statistics for Psychology Chapter 4 Practice Exercise 4a Using a normal curve table, give the percentage of scores between the mean and a z-score of: A) 0.58 B) 0.59 C) 1.46 D) 1.56 E) -0.58 Consider a test of coordination that has a normal distribution, a mean of 50, and a standard deviation of 10. A) How high a score would a person need to be in the top 5%? B) Explain your answer to someone who has never had a course in statistics.Statistics for Psychology Chapter 4 Practice Exercise 7 You apply to 20 graduate programs, 5 of which are in New Zealand, 5 of which are in Canada, and 10 of which are in the United States. You get a text from home that you have a letter from one of the programs to which you applied, but nothing is said about which one. Give the probability that it is from... A) A program in the United States B) A program in Canada C) From any program other than in New Zealand. D) Explain your answer to Part C to someone who has never had a course in statistics.Chapter 4 Homework Be sure you show ALL your work. 1. The number of hours worked per day for adults in a city is found to be normally distributed with a mean of 8.5 hours and a standard deviation of 1.5 hours. Using the 50%-34%-14% figures, approximately what percentage of adults in this city work hours: a) Above 5.5 hours b) Below 5.5 hours c) Above 7 hours d) Below 7 hours c) Above 8.5 hours f) Below 8.5 hours g) Above 10 hours h ) Below 10 hours i) Above 1 1.5 hours Below 11.5 hours 2. Using the information in problem I and the 50%-34%-14% figures, what is the highest number of hours a person can work per day and still be in the bottom a) 2% b) 16% c) 50% d) 84% c) 98% 3. One real-life example of a normal distribution is women's shoe size. Using a normal curve table, what percentage of women have Z-scores for shoe size a) Above 0.20 b) Below 0.20 c) Above 0.50 d) Below 0.50 c ) Above 1.40 f) Below 1.40 g) Above -0.20 h) Below -0.20 4. In the example in problem 3, using a normal curve table, what is the minimum Z-score a woman can have for their shoe size to be in the Top 60% b) Top 50% c) Top 40% d) Top 30% c ) Top 20% 5. In the example in problem 3, the mean shoe size for women is 8 and the standard deviation is 1.5. Using a normal curve table, what sizes (use the actual decimals you get; do not worry if it is not a real shoe size) would be the top and bottom sizes for a) The middle 50% of women b) The middle 90% of women c) The middle 99% of women **Note: You have not seen another problem like this one yet, but you already know everything you need to know to figure this out. Make sure to draw your pictures and think critically about how you can approach this problem. 6. In total, the National Baseball Hall of Fame includes 268 individual major league players, 40 executives/pioneers, 22 managers, and 10 umpires (for a total of 340 entries in the Hall of Fame). Suppose you were to select one entry from the Hall of Fame at random. What is the probability that you would select: a) An individual major league player b) An executive/pioneer c) A manager d) An umpire e) An individual major league player or an executive/pioneer Any entry except an umpire