Statistics Problem Set #6: Confidence Intervals and Hypothesis Testing, Assignments of Statistics

Download Statistics Problem Set #6: Confidence Intervals and Hypothesis Testing and more Assignments Statistics in PDF only on Docsity! Statistics 101 Problem Set # 6 Due: Wednesday December 8th 1. a) Ex 6.96 Page 426 b) Find a 95% confidence interval for  (the true mean increase).the true mean increase). 2. a) Ex 6.73 Page 409 b) Ex 6.74 Page 409 3. Four hundred people are surveyed and asked for their opinion on a new TV show on a scale of 0 (the true mean increase).did not like it at all) to 10 (the true mean increase).really liked it). The following summary information is given: Average rating= 7.82 Sample standard deviation = 3.36 The number of individuals that give a score of at least 9: 144 out of the 400. a) Find a 95% confidence interval for the mean population rating , . b) Find a 95% confidence interval for the proportion in the population would give the new TV show a rating of least 9. 4a. Ex 7.24 Page 454 4b. Ex 7.26 Page 455 The data are available on the website as internet.jmp 5a. Ex 8.25 Page 519 5b. How many free throws would Leroy have to shoot if you want the margin of error in a 95% confidence interval to be .08? 6. When a person is well, the test result for a certain disease is normally distributed with =10 (the true mean increase).null hypothesis) and =2. For individuals with the disease, the mean test result is also normally distributed with =15 (the true mean increase).alternative hypothesis) and =2. We classify a person as not having the disease if the test result does not exceed c and having the disease if the test result exceeds c. Of course, this classification produces errors: classifying a non-diseased person as having the disease and a person that has the disease as not having the disease. a) What must c have to be if =.05? b. Based on the value of c in part a) what is the probability of a Type II error? c. What would be the P-value for a test result of 14? (over)