The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, S
Posted: Sun Oct 03, 2021 3:08 pm
The International League of Triple-A minor league baseball
consists of 14 teams organized into three divisions: North, South,
and West. Suppose the following data show the average attendance
for the 14 teams in the International League. Also shown are the
teams' records; W denotes the number of games won, L denotes the
number of games lost, and PCT is the proportion of games played
that were won.
(a)
Use 𝛼 = 0.05 to test for any difference in the mean
attendance for the three divisions.
State the null and alternative hypotheses.
H0: 𝜇N = 𝜇S = 𝜇W
Ha: 𝜇N ≠ 𝜇S ≠ 𝜇WH0: 𝜇N = 𝜇S = 𝜇W
Ha: Not all the population means are
equal. H0: Not all the
population means are equal.
Ha: 𝜇N = 𝜇S = 𝜇WH0:
At least two of the population means are equal.
Ha: At least two of the population means are
different.H0: 𝜇N ≠ 𝜇S ≠ 𝜇W
Ha: 𝜇N = 𝜇S = 𝜇W
Find the value of the test statistic. (Round your answer to two
decimal places.)
Find the p-value. (Round your answer to three
decimal places.)
p-value =
State your conclusion.
Do not reject H0. There is not
sufficient evidence to conclude that the mean attendance values are
not equal for the three
divisions.Reject H0. There is sufficient
evidence to conclude that the mean attendance values are not equal
for the three
divisions. Reject H0.
There is not sufficient evidence to conclude that the mean
attendance values are not equal for the three divisions.Do not
reject H0. There is sufficient evidence to
conclude that the mean attendance values are not equal for the
three divisions.
(b)
Use Fisher's LSD procedure to determine where the differences
occur. Use 𝛼 = 0.05.
Find the value of LSD for each pair of divisions. (Round your
answers to two decimal places.)
North and SouthLSD=North and WestLSD=South and WestLSD=
Find the pairwise absolute difference between sample attendance
means for each pair of divisions. (Round your answers to the
nearest integer.)
xN − xS
=
xN − xW
=
xS − xW
=
Which attendance means differ significantly? (Select all that
apply.)
There is a significant difference in mean attendance between the
North division and the South division.There is a significant
difference in mean attendance between the North division and the
West division.There is a significant difference in mean attendance
between the South division and the West division.There are no
significant differences.
consists of 14 teams organized into three divisions: North, South,
and West. Suppose the following data show the average attendance
for the 14 teams in the International League. Also shown are the
teams' records; W denotes the number of games won, L denotes the
number of games lost, and PCT is the proportion of games played
that were won.
(a)
Use 𝛼 = 0.05 to test for any difference in the mean
attendance for the three divisions.
State the null and alternative hypotheses.
H0: 𝜇N = 𝜇S = 𝜇W
Ha: 𝜇N ≠ 𝜇S ≠ 𝜇WH0: 𝜇N = 𝜇S = 𝜇W
Ha: Not all the population means are
equal. H0: Not all the
population means are equal.
Ha: 𝜇N = 𝜇S = 𝜇WH0:
At least two of the population means are equal.
Ha: At least two of the population means are
different.H0: 𝜇N ≠ 𝜇S ≠ 𝜇W
Ha: 𝜇N = 𝜇S = 𝜇W
Find the value of the test statistic. (Round your answer to two
decimal places.)
Find the p-value. (Round your answer to three
decimal places.)
p-value =
State your conclusion.
Do not reject H0. There is not
sufficient evidence to conclude that the mean attendance values are
not equal for the three
divisions.Reject H0. There is sufficient
evidence to conclude that the mean attendance values are not equal
for the three
divisions. Reject H0.
There is not sufficient evidence to conclude that the mean
attendance values are not equal for the three divisions.Do not
reject H0. There is sufficient evidence to
conclude that the mean attendance values are not equal for the
three divisions.
(b)
Use Fisher's LSD procedure to determine where the differences
occur. Use 𝛼 = 0.05.
Find the value of LSD for each pair of divisions. (Round your
answers to two decimal places.)
North and SouthLSD=North and WestLSD=South and WestLSD=
Find the pairwise absolute difference between sample attendance
means for each pair of divisions. (Round your answers to the
nearest integer.)
xN − xS
=
xN − xW
=
xS − xW
=
Which attendance means differ significantly? (Select all that
apply.)
There is a significant difference in mean attendance between the
North division and the South division.There is a significant
difference in mean attendance between the North division and the
West division.There is a significant difference in mean attendance
between the South division and the West division.There are no
significant differences.