[Solved] Listed below are the number of homeruns for the National League leader over the last 20 years, through 2006. Assuming that number of homeruns is normally
Question: Listed below are the number of homeruns for the National League leader over the last 20 years, through 2006. Assuming that number of homeruns is normally distributed, if this is sample data collected from a population of all past and future homerun leaders, test the claim that the mean homerun leader has less than 47 homeruns, where α=.05. Set up and complete the appropriate hypothesis test. For this data, also compute the p-value and describe how you could have used this information to complete the analysis. Finally, compute 85% and 98% Confidence Intervals for this data.
| Year | Homeruns | Year | Homeruns | |
| 2006 | 58 | 1996 | 47 | |
| 2005 | 51 | 1995 | 40 | |
| 2004 | 48 | 1994 | 43 | |
| 2003 | 47 | 1993 | 46 | |
| 2002 | 49 | 1992 | 35 | |
| 2001 | 73 | 1991 | 38 | |
| 2000 | 50 | 1990 | 40 | |
| 1999 | 65 | 1989 | 47 | |
| 1998 | 70 | 1988 | 39 | |
| 1997 | 49 | 1987 | 49 |
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