RBIs (Example 11) A random sample of 25 baseball players from the 2017 Major League Baseball season was taken and the sample data was used to construct two confidence intervals for the population mean. One interval was 22.0 , 42.8 . The other interval was 19.9 , 44.0 . (Source: mlb.com) a. One interval is a 95 % interval, and one is a 90 % interval. Which is which, and how do you know? b. If a larger sample size was used, for example, 40 instead of 25, how would this affect the width of the intervals? Explain.
RBIs (Example 11) A random sample of 25 baseball players from the 2017 Major League Baseball season was taken and the sample data was used to construct two confidence intervals for the population mean. One interval was 22.0 , 42.8 . The other interval was 19.9 , 44.0 . (Source: mlb.com) a. One interval is a 95 % interval, and one is a 90 % interval. Which is which, and how do you know? b. If a larger sample size was used, for example, 40 instead of 25, how would this affect the width of the intervals? Explain.
Solution Summary: The author explains that the width of an interval increases with the increase in the confidence level.
RBIs (Example 11) A random sample of 25 baseball players from the 2017 Major League Baseball season was taken and the sample data was used to construct two confidence intervals for the population mean. One interval was
22.0
,
42.8
. The other interval was
19.9
,
44.0
. (Source: mlb.com)
a. One interval is a
95
%
interval, and one is a
90
%
interval. Which is which, and how do you know?
b. If a larger sample size was used, for example, 40 instead of 25, how would this affect the width of the intervals? Explain.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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.
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License