Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
6th Edition
ISBN: 9780137549375
Author: Richard Larsen, Morris Marx
Publisher: PEARSON+
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Chapter 4.4, Problem 9Q
To determine
To test: The verification of the
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Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of
each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means
is on the left below, and that of the 50 confidence intervals is on the right.
1. What does each dot on the left hand dotplot represent?
StatKey Sampling Distribution for a Mean
Percent with Internet Access (Countries) ▾
Show Data Table Edit Data
Choose samples of size n =
20
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Generate 1 Sample
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Sampling Dotplot of Mean
Left Tail Two-Tail Right Tail
60
50
40
40
30
20
20
10
samples = 50
mean = 41.626
std. error = 5.089
:
.:
:
::
0
25
30
35
40
45
50
55
60
41.626
Data Plots
Confidence Intervals
95%->
Confidence Intervals
Coverage
48/50 = 96%
20
40
60
80
2. Circle the confidence intervals that failed to capture the true mean.
3. Circle the sample means that produced those…
Example 4 (Part 1) One of the datasets in the Lock book
contains information about 215 countries of the world. One
of the variables is the percentage of people in the country
who have access to the internet. We have data for 203 of
those countries. The plot on the right shows a dotplot of
the data.
1. What are the cases?
Population
n = 203, mean = 43.024
median = 43.5, stdev = 29.259
20
2. What does each dot on the dotplot represent?
15
10
5
20
40
43.024
60
80
3. What type of data is do we collect from the cases, quantitative or categorical?
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information.
x
63
79
70
80
84
87
y
46
49
45
55
57
58
Find Se. Round your answer to three decimal places.
Chapter 4 Solutions
Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
Ch. 4.2 - If a typist averages one misspelling in every 3250...Ch. 4.2 - A medical study recently documented that 905...Ch. 4.2 - Five hundred people are attending the first annual...Ch. 4.2 - A chromosome mutation linked with colorblindness...Ch. 4.2 - Suppose that 1% of all items in a supermarket are...Ch. 4.2 - A newly formed life insurance company has...Ch. 4.2 - According to an airline industry report (189),...Ch. 4.2 - Electromagnetic fields generated by power...Ch. 4.2 - Astronomers estimate that as many as one hundred...Ch. 4.2 - During the latter part of the nineteenth century,...
Ch. 4.2 - A random sample of three hundred fifty-six seniors...Ch. 4.2 - Midwestern Skies books ten commuter flights each...Ch. 4.2 - Prob. 13QCh. 4.2 - Prob. 14QCh. 4.2 - Prob. 15QCh. 4.2 - A tool and die press that stamps out cams used in...Ch. 4.2 - In a new fiber-optic communication system,...Ch. 4.2 - Assume that the number of hits, X, that a...Ch. 4.2 - Prob. 19QCh. 4.2 - Suppose a radioactive source is metered for two...Ch. 4.2 - Suppose that on-the-job injuries in a textile mill...Ch. 4.2 - Find P(X=4) if the random variable X has a Poisson...Ch. 4.2 - Prob. 23QCh. 4.2 - Prob. 24QCh. 4.2 - Prob. 25QCh. 4.2 - Prob. 26QCh. 4.2 - Records show that deaths occur at the rate of 0.1...Ch. 4.2 - Fifty spotlights have just been installed in an...Ch. 4.2 - Prob. 29QCh. 4.3 - Use Appendix Table A.1 to evaluate the following...Ch. 4.3 - Let Z be a standard normal random variable. Use...Ch. 4.3 - (a) Let 0ab. Which number is larger?...Ch. 4.3 - Prob. 4QCh. 4.3 - Assume that the random variable Z is described by...Ch. 4.3 - Prob. 6QCh. 4.3 - Prob. 7QCh. 4.3 - Hertz Brothers, a small, family-owned radio...Ch. 4.3 - Prob. 9QCh. 4.3 - State Techs basketball team, the Fighting...Ch. 4.3 - A random sample of 747 obituaries published...Ch. 4.3 - Prob. 12QCh. 4.3 - If pX(k)=(10k)(0.7)k(0.3)10k,k=0,1,10, is it...Ch. 4.3 - A sell-out crowd of 42,200 is expected at...Ch. 4.3 - A fair coin is tossed two hundred times. Let Xi=1...Ch. 4.3 - Suppose that one hundred fair dice are tossed....Ch. 4.3 - Let X be the amount won or lost in betting $5 on...Ch. 4.3 - Prob. 18QCh. 4.3 - An electronics firm receives, on the average,...Ch. 4.3 - Prob. 20QCh. 4.3 - Econo-Tire is planning an advertising campaign for...Ch. 4.3 - A large computer chip manufacturing plant under...Ch. 4.3 - Prob. 23QCh. 4.3 - Prob. 24QCh. 4.3 - A criminologist has developed a questionnaire for...Ch. 4.3 - The cross-sectional area of plastic tubing for use...Ch. 4.3 - At State University, the average score of the...Ch. 4.3 - A college professor teaches Chemistry 101 each...Ch. 4.3 - Suppose the random variable Y can be described by...Ch. 4.3 - It is estimated that 80% of all eighteen-year-old...Ch. 4.3 - Prob. 31QCh. 4.3 - Prob. 32QCh. 4.3 - The IQs of nine randomly selected people are...Ch. 4.3 - Let Y1,Y2,...,Yn be a random sample from a normal...Ch. 4.3 - A circuit contains three resistors wired in...Ch. 4.3 - Prob. 36QCh. 4.3 - Use moment-generating functions to prove the two...Ch. 4.3 - Let Y1,Y2,...,Y9 be a random sample of size 9 from...Ch. 4.3 - Prob. 39QCh. 4.4 - Because of her past convictions for mail fraud and...Ch. 4.4 - A teenager is trying to get a drivers license....Ch. 4.4 - Prob. 3QCh. 4.4 - Recently married, a young couple plans to continue...Ch. 4.4 - Show that the cdf for a geometric random variable...Ch. 4.4 - Suppose three fair dice are tossed repeatedly. Let...Ch. 4.4 - Prob. 7QCh. 4.4 - Sometimes the geometric random variable is defined...Ch. 4.4 - Prob. 9QCh. 4.4 - Suppose that the random variables X1 and X2 have...Ch. 4.5 - A door-to-door encyclopedia salesperson is...Ch. 4.5 - An underground military installation is fortified...Ch. 4.5 - Darryls statistics homework last night was to flip...Ch. 4.5 - When a machine is improperly adjusted, it has...Ch. 4.5 - For a negative binomial random variable whose pdf...Ch. 4.5 - Let the random variable X denote the number of...Ch. 4.5 - Calculate the mean, variance, and...Ch. 4.5 - Let X1,X2, and X3 be three independent negative...Ch. 4.5 - Differentiate the moment-generating function...Ch. 4.5 - Suppose that X1,X2,...,Xk are independent negative...Ch. 4.6 - An Arctic weather station has three electronic...Ch. 4.6 - A service contact on a new university computer...Ch. 4.6 - Suppose a set of measurements Y1,Y2,...,Y100 is...Ch. 4.6 - Demonstrate that plays the role of a scale...Ch. 4.6 - Show that a gamma pdf has the unique mode r1; that...Ch. 4.6 - Prove that (12)=. (Hint: Consider E(Z2)), where Z...Ch. 4.6 - Show that (72)=158.Ch. 4.6 - If the random variable Y has the gamma pdf with...Ch. 4.6 - Differentiate the gamma moment-generating function...Ch. 4.6 - Prob. 10Q
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