Jerry in Minnesota has an incredible team of athletes who are equally adept at b
ID: 2907167 • Letter: J
Question
Jerry in Minnesota has an incredible team of athletes who are equally adept at both sports of baseball and hockey. For most of his athletes, there are two options: a career in baseball or a career in hockey. Accordingly, Jerry reviews information and derives the following summary measures concerning weekly salaries based on a random sample of 32 for each such sport. For the analysis, Jerry uses a historical (population) standard deviation of $21.9 for baseball players and $19.9 for hockey players. (Note: the automated question following this one will ask you confidence interval questions for this same data, so jot down your work.) (Sample 1 represents baseball players and Sample 2 represents hockey players.)
Explanation / Answer
The statistical software output for this problem is:
Two sample Z summary hypothesis test:
?1 : Mean of population 1 (Std. dev. = 21.9)
?2 : Mean of population 2 (Std. dev. = 19.9)
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 ? 0
Hypothesis test results:
Hence,
a) Hypotheses: Option A is correct.
b) Test statistic = 2.64
p - value = 0.008
c) Reject; can
Difference n1 n2 Sample mean Std. err. Z-stat P-value ?1 - ?2 32 32 13.8 5.2309774 2.6381303 0.0083Related Questions
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