## (Solved) STATISTICS 200 A box contains four black pieces of cloth

LANE CHAPTER 5 PROBLEMS # 2, #4 &amp; #6: Basic definitions and reasons for using this test. 2. A box contains four black pieces of cloth, two striped pieces, and six dotted pieces. A piece is selected randomly and then placed back in the box. A second piece is selected randomly. What is the probability that: a. both pieces are dotted? b. the first piece is black and the second piece is dotted? c. one piece is black and one piece is striped? 4. The probability that you will win a game is 0.45. (a) If you play the game 80 times, what is the most likely number of wins? (b) What are the mean and variance of a binomial distribution with p = 0.45 and N = 80? 6.When Susan and Jessica play a card game, Susan wins 60% of the time. If they play 9 games, what is the probability that Jessica will have won more games than Susan? PROBLEM # 10: See if you can apply this analysis. 10. You roll a fair die five times, and you get a 6 each time. What is the probability that you get a 6 on the next roll? PROBLEM #17: This has all the calculations involved. Can you find the critical F-value from the Table? The p-value can also be approximated from that Table. (Find an FTable that you like on line) 17. (DH) a. What percentage of people on the AHA diet had some sort of illness or death? b. What is the probability that if you randomly selected a person on the AHA diet, he or she would have some sort of illness or death? c. If 3 people on the AHA diet are chosen at random, what is the probability that they will all be healthy? The Table asked for has these headings: SOURCE (with these categories down the side: age, time, age x time, error and total), then continuing across the top: df, SSQ, MS, F and P. Go ahead and fill it in. ILLOWSKY CHAPTER 13 PROBLEMS #1 through 8 (count as ONE problem): This is all about knowing the why and when about this test. Use the following information to answer the next five exercises. There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they? 1. Write one assumption. 2. Write another assumption. 3. Write a third assumption. 4. Write a fourth assumption. 5. Write the final assumption. 6. State the null hypothesis for a one-way ANOVA test if there are four groups. 7. State the alternative hypothesis for a one-way ANOVA test if there are three groups. 8. When do you use an ANOVA test? PROBLEMS #9 through 15 (count as ONE problem): This involves working a basic Ftest problem. Can you find the critical F-value and compare the test statistic to it to see if we accept or reject (you pick an alpha). You also can approximate the p-value from the table (find table on web if necessary). 13.2 The F Distribution and the F-Ratio Use the following information to answer the next eight exercises. Groups of men from three different areas of the country are to be tested for mean weight. The entries in the table are the weights for the different groups. The one-way ANOVA results are shown in Table 13.13. Group 1 Group 2 Group 3 216 202 170 198 213 165 240 284 182 187 228 197 176 210 201 Table 13.13 9. What is the Sum of Squares Factor? 10. What is the Sum of Squares Error? 11. What is the df for the numerator? 12. What is the df for the denominator? 13. What is the Mean Square Factor? 14. What is the Mean Square Error? 15. What is the F statistic? BONUS: For a 1 point bonus, work problem #71 and see if you have this concept (F-test) down.

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