Answer:
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
Step-by-step explanation:
1) Formulate null and alternate hypothesis
H0: u1= u2 Ha: u1 ≠ u2
The null hypothesis is that the average salary of the Diamondbacks players does not differ from that of all players in the National League
against the claim
that the average salary of the Diamondbacks players differ from that of all players in the National League
The data given is
x1`= $2,308,488, s1= $3,427,508 and n1 = 27
x2`= $2,585,804, s2=$3,500,708 and n2 = 27
2) The test statistic is
z= x1-x2/ sqrt( σ1 ²/n1 + σ2²/n2)
Putting the values
z = $2,308,488- $2,585,804/ sqrt( 3,427,508²/27 + 3,500,708²/27)
z= -0.294
3) The significance level is 0.05
The critical region is Z =±1.96
4) Since the calculated value of z= -0.294 is less than the z ∝=±1.96 we do not reject H0.
5) the P-value can be calculated using the calculator.
The p-value is p = 0.7687
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
