Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 9.3, Problem 9BSC
In Exercises 5–16, use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal.
9. Heights of Mothers and Daughters Listed below are heights (in.) of mothers and their first daughters. The data are from a journal kept by Francis Galton. (See Data Set 5 “Family Heights” in Appendix B.) Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters.
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Throughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2.
1. Show that
AAB (ANB) U (BA) = (AUB) (AB),
Α' Δ Β = Α Δ Β,
{A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).
16. Show that, if X and Y are independent random variables, such that E|X|< ∞,
and B is an arbitrary Borel set, then
EXI{Y B} = EX P(YE B).
Proposition 1.1 Suppose that X1, X2,... are random variables. The following
quantities are random variables:
(a) max{X1, X2) and min(X1, X2);
(b) sup, Xn and inf, Xn;
(c) lim sup∞ X
and lim inf∞ Xn-
(d) If Xn(w) converges for (almost) every w as n→ ∞, then lim-
random variable.
→ Xn is a
Chapter 9 Solutions
Elementary Statistics (13th Edition)
Ch. 9.1 - Verifying Requirements In the largest clinical...Ch. 9.1 - Verifying Requirements In the largest clinical...Ch. 9.1 - Hypotheses and Conclusions Refer to the hypothesis...Ch. 9.1 - Using Confidence Intervals a. Assume that we want...Ch. 9.1 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.1 - Treating Carpal Tunnel Syndrome Carpal tunnel...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Accuracy of Fast Food Drive-Through Orders In a...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...
Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Prob. 16BSCCh. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Prob. 23BBCh. 9.1 - Yawning and Fishers Exact Test In one segment of...Ch. 9.1 - Overlap of Confidence Intervals In the article On...Ch. 9.1 - Equivalence of Hypothesis Test and Confidence...Ch. 9.2 - Independent and Dependent Samples Which of the...Ch. 9.2 - Confidence Interval for Hemoglobin Large samples...Ch. 9.2 - Hypothesis Tests and Confidence Intervals for...Ch. 9.2 - Degrees of Freedom For Example 1 on page 431, we...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - Larger Data Sets. In Exercises 2124, use the...Ch. 9.2 - Larger Data Sets. In Exercises 2124, use the...Ch. 9.2 - Larger Data Sets. In Exercises 2124, use the...Ch. 9.2 - Larger Data Sets. In Exercises 2124, use the...Ch. 9.2 - Pooling Repeat Exercise 12 IQ and Lead by assuming...Ch. 9.2 - Degrees of Freedom In Exercise 20 Blanking Out on...Ch. 9.2 - No Variation in a Sample An experiment was...Ch. 9.3 - True? For the methods of this section, which of...Ch. 9.3 - Notation Listed below are body temperatures from...Ch. 9.3 - Units of Measure If the values listed in Exercise...Ch. 9.3 - Degrees of Freedom If we use the sample data in...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - Prob. 11BSCCh. 9.3 - Prob. 12BSCCh. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - Prob. 17BSCCh. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Prob. 23BSCCh. 9.3 - Prob. 24BSCCh. 9.3 - Body Temperatures Refer to Data Set 3 Body...Ch. 9.4 - F Test Statistic a. If s12 represents the larger...Ch. 9.4 - F Test if using the sample data in Data Set 1 Body...Ch. 9.4 - Testing Normality For the hypothesis test...Ch. 9.4 - Prob. 4BSCCh. 9.4 - In Exercises 516, test the given claim. 5. Color...Ch. 9.4 - In Exercises 516, test the given claim. 6. Color...Ch. 9.4 - In Exercises 516, test the given claim. 7. Testing...Ch. 9.4 - In Exercises 516, test the given claim. 8....Ch. 9.4 - In Exercises 516, test the given claim. 9. Coke...Ch. 9.4 - In Exercises 516, test the given claim. 10. IQ and...Ch. 9.4 - Prob. 11BSCCh. 9.4 - Prob. 12BSCCh. 9.4 - Prob. 13BSCCh. 9.4 - Prob. 14BSCCh. 9.4 - In Exercises 516, test the given claim. 15. Old...Ch. 9.4 - In Exercises 516, test the given claim. 16....Ch. 9.4 - Prob. 17BBCh. 9.4 - Prob. 18BBCh. 9.4 - Finding Lower Critical F Values For hypothesis...Ch. 9 - In Exercises 15, use the following survey results:...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 7-5, use the following survey...Ch. 9 - True? Determine whether the following statement is...Ch. 9 - True? When we collect random samples to test the...Ch. 9 - Dependent or Independent? Listed below are...Ch. 9 - Hypotheses Identify the null and alternative...Ch. 9 - Test Statistics Identify the test statistic that...Ch. 9 - Denomination Effect In the article The...Ch. 9 - Denomination Effect Construct the confidence...Ch. 9 - Heights Listed below are heights (cm) randomly...Ch. 9 - Heights Use a 0.01 significance level with the...Ch. 9 - Before /After Treatment Results Captopril is a...Ch. 9 - Eyewitness Accuracy of Police Does stress affect...Ch. 9 - Are Flights Cheaper When Scheduled Earlier? Listed...Ch. 9 - Variation of Heights Use the sample data given in...Ch. 9 - Family Heights. In Exercises 15, use the following...Ch. 9 - Scatterplot Construct a scatterplot of the...Ch. 9 - Family Heights. In Exercises 1-5, use the...Ch. 9 - Family Heights. In Exercises 1-5, use the...Ch. 9 - Assessing Normality Interpret the normal quantile...Ch. 9 - Braking Reaction Times: Histogram Listed below are...Ch. 9 - Braking Reaction Times: Normal? The accompanying...Ch. 9 - Braking Reaction Times: Boxplots Use the same data...Ch. 9 - In Exercises 5-20, assume that the two samples are...Ch. 9 - Braking Reaction Times: Confidence Intervals a....Ch. 9 - FROM DATA TO DECISION Critical Thinking: Did the...Ch. 9 - Critical Thinking: Did the NFL Rule Change Have...Ch. 9 - Critical Thinking: Did the NFL Rule Change Have...
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Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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