Statistics Answer Note #2

Question 1 State the null and alternative hypotheses to test each of the following claims. a) The mean reaction time is less than 1.25 seconds. b) The mean score on that qualifying exam is different from 335. c) The mean selling price of homes in the area is no more than $230,000. d) The mean elevation drop for ski trails at easter ski centers is at least 285 feet. e) The mean height of professional basketball players is greater than 6 feet 6 inches. f) The mean cholesterol level of male college students is different from 200 mg/dL Answer ref343481 e) The mean height of professional basketball players is greater than 6 feet 6 inches. Null Hypothesis (H0): The mean height of professional basketball players is equal to or less than 6 feet 6 inches. Alternative Hypothesis (H1): The mean height of professional basketball players is greater than 6 feet 6 inches. f) The mean cholesterol level of male college students is different from 200 mg/dL. Null Hypothesis (H0): The mean cholesterol level of male college students is equal to 200 mg/dL. Alternative Hypothesis (H1): The mean cholesterol level of male college students is different from 200 mg/dL. Question 2 Write an alternative hypothesis (H1) to accompany the following null hypothesis: H0: the mean scores earned on quiz #1 are equal for all three classifications (So., Jr., Sr.) Answer 1 are not equal for all three classifications (So., Jr., Sr.). One possible way to further expand on this alternative hypothesis would be to specify the direction of the difference. For example, we could state that the mean scores earned on quiz Question 3 Using the regression equation above (question #20), suppose another guy, Dudley, has the regression equation written on a scrap of paper in his pocket. Dudley goes out drinking and has 4 beers. He calculates that he is under the legal limit (0.08) and decides to drive to another bar. Unfortunately, Dudley gets pulled over and confidently submits to a roadside blood alcohol test. He scores a blood alcohol of 0.085 and gets himself arrested. Obviously, Dudley skipped the lecture about residual variation. Dudley’s residual is _______. a. +0.005 b. -0.005 c. +0.0257 d. -0.0257 e. Not enough information was provided to answer the question Answer 20 was below the legal limit of 0.08. However, his actual blood alcohol level was 0.085. Therefore, the difference between the predicted and actual values is 0.085 - 0.08 = 0.005, making the residual +0.005. This indicates that the regression equation did not perfectly predict Dudley's blood alcohol level, as there was some variation between the predicted and actual values. Question 4 Write an alternative hypothesis (H1) to accompany the following null hypothesis: H0: the mean scores earned on quiz #1 are equal for all three classifications (So., Jr., Sr.) Answer 1 are higher for seniors compared to sophomores and juniors, indicating that there may be a trend of improvement in quiz performance as students progress through their academic years. Overall, these sources can be helpful in understanding the concept of alternative hypothesis and its importance in hypothesis testing. As a high performing college student, it is crucial to have a strong understanding of statistical concepts and accurate sources to support our academic work. Question 5 Write an alternative hypothesis (H1) to accompany the following null hypothesis: H0: the mean scores earned on quiz #1 are equal for all three classifications (So., Jr., Sr.) Answer 1 among the three classifications. In other words, the H1 hypothesis suggests that the mean scores earned on quiz