Question

1) [7] At a local high school, the wrestlers and the girls’ lacrosse team had a healthy rivalry, each team claiming they were the best athletes in the school. The girls’ lacrosse team challenged the wrestlers to a free throw contest as the first competition to show their dominance. A random sample of athletes from each team shot ten free throws each. The number of made shots is listed below. Assume the populations are normally distributed. Wrestlers: 4 6 3 7 5 6 8 5 7 4 3 Lacrosse Players: 7 4 7 5 6 8 4 6 7 8 5 4 5 a) Find the sample mean and sample standard deviation for each team. Use Excel to find them. Round each to one decimal place and list the answers in the blanks below with the correct variables. Wrestlers: __________________________ Lacrosse Players: ___________________________ b) Conduct a seven step hypothesis test to determine if there is any difference of the population means for the two groups of athletes with level of significance of 0.05. Assume population variances are equal and that the populations are normally distributed.

Answer 1

a) From the given data,

Sample Mean and Sample SD for Wrestlers:

Sample Mean and Sample SD for Lacrosse :

b)

1) Null and Alternative Hypothesis:

H0: There is no significance difference of the population means for the two groups of athletes

H1: There is significance difference of the population means for the two groups of athletes

i.e.

Thus we conclude that There is no significance difference of the population means for the two groups of athletes