(Table: Baseball Salaries and Positions) Does a baseball player\'s salary depend
ID: 3231678 • Letter: #
Question
(Table: Baseball Salaries and Positions) Does a baseball player's salary depend on the position he plays? The table data depict the 2012 season salaries (in millions of dollars) for players randomly selected from all players in their respective positions in the National Baseball League.
Perform the six steps of hypothesis testing on this set of data, presenting your final calculations in a source table.
Pitcher Catcher Outfielder Shortstop .480 .615 1.150 .481 18.250 3.7 13.571 8.250 10.333 .815 .500 .487 .750 1.000 10.250 4.550 4.275 1.625 6.958 .519Explanation / Answer
null hypothesis: all position has same mean value of salary.
alternate hypothesis: at least two position has dififerent mean value of salary.
level of significance: 0.05
critical value : =3.239
decision rule: reject Ho: if F>3.239
test:
as test stat is less then critical value we can not reject null hypothesis.
we do not have sufficient evidence to conclude that mean salary is different for different position
Groups Count Sum Average Variance Pitcher 5 34.088 6.8176 56.62589 Catcher 5 7.755 1.551 1.586268 Outfielder 5 32.429 6.4858 32.2232 Shortstop 5 14.287 2.8574 12.1698 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 103.4432 3 34.48107 1.344224 0.295268 3.238872 Within Groups 410.4206 16 25.65129 Total 513.8639 19Related Questions
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