Question Help The following table shows the total points scored in 16 football g
ID: 3333563 • Letter: Q
Question
Question Help
The following table shows the total points scored in 16 football games played during week 1 of the season in a youth football league. Use the data to complete parts a through e below.
21
26
35
53
60
49
20
31
40
56
36
47
37
28
15
34
a. Calculate the mean for this population.
muequals=
(Round to one decimal place as needed.)
b. Calculate the sampling error using the first four games in the first row as your sample.
The sampling error for the first four games is
nothing.
(Round to one decimal place as needed.)
c. Calculate the sampling error using all eight games in the first row as your sample.
The sampling error for the first eight games is
nothing.
(Round to one decimal place as needed.)
d. How does increasing the sample size affect the sampling error?
A.
In general, increasing the sample size makes the sampling error larger.
B.
In general, increasing the sample size makes the sampling error smaller.
C.
In general, increasing the sample size has no effect on the sampling error.
e. Using a sample of size four, what is the largest sampling error that can be observed from this population?
The largest sampling error for the given data using a sample of size four is
nothing.
(Round to one decimal place as needed.)
Question Help
Explanation / Answer
A) mean = 588/16 = 46.75
B) mean of first four games= (21 + 26 + 35 + 53) / 4 = 135/4 = 33.75
Variance = ((21 - 33.75)^2 + (26 - 33.75)^2 + (35 - 33.75)^2 + (53 - 33.75)^2)/4 = 148.68
Standard deviation = sqrt(148.68) = 12.19
Sampling error = 12.19/sqrt(2) = 12.19/2 = 6.095 = 6.1
C) Mean of the first right game = (21 + 26 + 35 + 53 + 60 + 49 + 20 + 31)/8 = 295/8 = 36.875
Variance = ((21 - 36.875)^2 + (26 - 36.875)^2 + (35 - 36.875)^2 + (53 - 36.875)^2 + (60 - 36.875)^2 + (49 - 36.875)^2 + (20 - 36.875)^2 + (31 - 36.875)^2)/8 = 204.36
Standard deviation = sqrt (204.36) = 14.295
Sampling error = 14.295/sqrt(8 ) = 5.05 = 5.1
D) Option-B is the correct answer.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.