e. For a random sample of size 3, obtain the probability that the sampling error made in estimating the population mean by the sample mean will be 2 years or less; that is, determine the probability that x will be within 2 years of u. The probability is

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
I need help with e
The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions (a) through (e).
(Assume that sampling is without replacement.)
41 36 D
44
47
39
37
39
41
43
45
38
40
42
44
C.
OD.
38
40
42
44
37
39
41
43
d. For a random sample of size 3, what is the chance that the sample mean will equal the population mean?
The probability is 0.
(Type an integer or a decimal. Use the answers from part (a) and part (b) to find this answer.)
e. For a random sample of size 3, obtain the probability that the sampling error made in estimating the population mean by the sample mean will be 2 years or less; that
is, determine the probability that x will be within 2 years of u.
The probability is.
(Type an integer or a decimal. Use the answers from part (a) and part (b) to find this answer.)
Transcribed Image Text:The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions (a) through (e). (Assume that sampling is without replacement.) 41 36 D 44 47 39 37 39 41 43 45 38 40 42 44 C. OD. 38 40 42 44 37 39 41 43 d. For a random sample of size 3, what is the chance that the sample mean will equal the population mean? The probability is 0. (Type an integer or a decimal. Use the answers from part (a) and part (b) to find this answer.) e. For a random sample of size 3, obtain the probability that the sampling error made in estimating the population mean by the sample mean will be 2 years or less; that is, determine the probability that x will be within 2 years of u. The probability is. (Type an integer or a decimal. Use the answers from part (a) and part (b) to find this answer.)
The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions (a) through (e).
(Assume that sampling is without replacement.)
41 36 O
47
44
39
a. Find the population mean age of the five winners.
u= 41.4 years
b. For samples of size 3, construct a table of all possible samples and their sample means.
Age
Age
41,36,44
40.33
41,47,39
42.33
41,36,47
41.33
36,44,47
42.33
41,36,39
38.67
36,44,39
39.67
41,44,47
44
36,47,39
40.67
41,44,39
41.33
44,47,39
43.33
(Round to two decimal places as needed.)
c. Draw a dotplot for the sampling distribution of the sample mean for samples of size 3. Choose the correct dotplot below.
A.
O B.
38
40
42
44
37
39
41
43
45
Transcribed Image Text:The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions (a) through (e). (Assume that sampling is without replacement.) 41 36 O 47 44 39 a. Find the population mean age of the five winners. u= 41.4 years b. For samples of size 3, construct a table of all possible samples and their sample means. Age Age 41,36,44 40.33 41,47,39 42.33 41,36,47 41.33 36,44,47 42.33 41,36,39 38.67 36,44,39 39.67 41,44,47 44 36,47,39 40.67 41,44,39 41.33 44,47,39 43.33 (Round to two decimal places as needed.) c. Draw a dotplot for the sampling distribution of the sample mean for samples of size 3. Choose the correct dotplot below. A. O B. 38 40 42 44 37 39 41 43 45
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman