descriptive Statistics
posted by Karen .
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 รก=.05. Set up and complete the appropriate hypothesis test. For this data, also compute the pvalue 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

Here's a few hints:
1. Set up a null and alternative hypothesis based on the information given.
2. The test will be a onesample ztest (the number of homeruns is normally distributed). You will need to find mean and standard deviation of the data.
3. The pvalue is the actual level of the test statistic (found using a ztable).
4. Use appropriate confidence formulas
for the data. (You will have to check a ztable again to determine z for each interval.)
I hope this will give you some clues on how to get started on this one.
Respond to this Question
Similar Questions

Confidence Intervals
Over the last 15 Major League Baseball seasons, the mean number of strikeouts by the American League leader is 258.5. Assuming that the number of strikeouts by the league leader is normally distributed and the standard deviation for … 
Statistics/Confidence Intervals
Over the last 15 Major League Baseball seasons, the mean # of strikeouts by the American League leader is 258.5. Assuming that the # of strikeouts by the league leader is normally distributed and the st. dev. for all seasons in all … 
Hypothesis Testing/PValue
Listed below are the # of homeruns for the National League leader over the last 20 years. Assuming that # of homeruns is normally distributed, if this is sample data collected from a population of all past & future homerun leaders, … 
Descriptive Statistics
. Over the last 15 Major League Baseball seasons, the mean number of strikeouts by the American League leader is 258.5. Assuming that the number of strikeouts by the league leader is normally distributed and the standard deviation … 
statistics
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 … 
Statistics
Are these statements true or false? 1. The sample mean, the sample proportion and the sample standard deviation are all unbiased estimators of the corresponding population parameters. 2. If the population is normally distributed with 
statistics
Refer to the Baseball data, which report information on the 30 Major League Baseball teams for the 2010 season. Let the number of games won be the dependent variable and the following variables be independent variables: team batting … 
Business Statistics
A random sample of six CEOs reported how many times per year they play tennis. The data follows. 3 41 96 32 52 19 Assuming the number of games played is normally distributed and the population standard deviation σ = 10, a 95% … 
Behavioral Statistics Help!
The majority of the data is normally distributed if there are enough subjects. For instance, if you collected test scores of only a few honor students, the data will most likely not be normally distributed because you would have a … 
Please Help Me!
The Edmonton rush is one of nine teams that play in the national lacrosse league. The weights of the 2013 Edmonton rush players are shown. Weight in Lbs. 160. 170. 170. 175. 180 185. 188. 190. 190. 190 194. 195. 200. 200. 200 205. …