The German national team scored the following numbers of goals in 50 randomly selected international matches 1 5 3 2 Number of goals per match 2 3 4 Number of matches with this result 18 22

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Question

both parts

Task 3
The German national team scored the following numbers of goals in 50
randomly selected international matches
Number of goals per match
1
2 3 4
18 22 5 3 2
Number of matches with this result
In the following, assume that the goal numbers collected come from a simple
random sample of the population of all international matches of the German
national team. come from.
1. Determine the 95% confidence interval for the expected value of the
number of goals in all international matches.
2. The standard deviation of goals per match in the population of all
international matches is now given as o = 1, 0. How large must the
sample size be so that the 95% confidence interval for u is not wider
than 0.5 goals?
Transcribed Image Text:Task 3 The German national team scored the following numbers of goals in 50 randomly selected international matches Number of goals per match 1 2 3 4 18 22 5 3 2 Number of matches with this result In the following, assume that the goal numbers collected come from a simple random sample of the population of all international matches of the German national team. come from. 1. Determine the 95% confidence interval for the expected value of the number of goals in all international matches. 2. The standard deviation of goals per match in the population of all international matches is now given as o = 1, 0. How large must the sample size be so that the 95% confidence interval for u is not wider than 0.5 goals?
Expert Solution
steps

Step by step

Solved in 2 steps with 45 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning