Elementary Statistics Using The Ti-83/84 Plus Calculator
5th Edition
ISBN: 9780134686943
Author: Triola, Mario F., Iossi, Laura
Publisher: Pearson,
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Chapter 1.1, Problem 21BSC
To determine
Whether the difference between each white blood cell count and the corresponding red blood cell count makes sense or not and an explanation of why or why not.
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Students have asked these similar questions
4. Suppose that P(X = 1) = P(X = -1) = 1/2, that Y = U(-1, 1) and that X
and Y are independent.
(a) Show, by direct computation, that X + Y = U(-2, 2).
(b) Translate the result to a statement about characteristic functions.
(c) Which well-known trigonometric formula did you discover?
9. The concentration function of a random variable X is defined as
Qx(h) = sup P(x ≤ X ≤x+h), h>0.
x
(a) Show that Qx+b (h) = Qx(h).
(b) Is it true that Qx(ah) =aQx(h)?
(c) Show that, if X and Y are independent random variables, then
Qx+y (h) min{Qx(h). Qy (h)).
To put the concept in perspective, if X1, X2, X, are independent, identically
distributed random variables, and S₁ = Z=1Xk, then there exists an absolute
constant, A, such that
A
Qs, (h) ≤
√n
Some references: [79, 80, 162, 222], and [204], Sect. 1.5.
29
Suppose that a mound-shaped data set has a
must mean of 10 and standard deviation of 2.
a. About what percentage of the data should
lie between 6 and 12?
b. About what percentage of the data should
lie between 4 and 6?
c. About what percentage of the data should
lie below 4?
91002 175/1
3
Chapter 1 Solutions
Elementary Statistics Using The Ti-83/84 Plus Calculator
Ch. 1.1 - Online Medical Info USA Today posted this question...Ch. 1.1 - Prob. 2BSCCh. 1.1 - Statistical Significance Versus Practical...Ch. 1.1 - Prob. 4BSCCh. 1.1 - Consider the Source. In Exercises 5-8, determine...Ch. 1.1 - Consider the Source. In Exercises 5-8, determine...Ch. 1.1 - Consider the Source. In Exercises 5-8, determine...Ch. 1.1 - Prob. 8BSCCh. 1.1 - Prob. 9BSCCh. 1.1 - Sampling Method. In Exercises 9-12, determine...
Ch. 1.1 - Prob. 11BSCCh. 1.1 - Prob. 12BSCCh. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Prob. 14BSCCh. 1.1 - Prob. 15BSCCh. 1.1 - Prob. 16BSCCh. 1.1 - Prob. 17BSCCh. 1.1 - Prob. 18BSCCh. 1.1 - Prob. 19BSCCh. 1.1 - Prob. 20BSCCh. 1.1 - Prob. 21BSCCh. 1.1 - In Exercises 21-24, refer to the data in the table...Ch. 1.1 - Prob. 23BSCCh. 1.1 - Prob. 24BSCCh. 1.1 - What's Wrong? In Exercises 25-28, identify what is...Ch. 1.1 - Prob. 26BSCCh. 1.1 - Prob. 27BSCCh. 1.1 - Prob. 28BSCCh. 1.1 - Percentages. In Exercises 29-36, answer the given...Ch. 1.1 - Prob. 30BSCCh. 1.1 - Prob. 31BSCCh. 1.1 - Percentages. In Exercises 29-36, answer the given...Ch. 1.1 - Prob. 33BSCCh. 1.1 - Prob. 34BSCCh. 1.1 - Prob. 35BSCCh. 1.1 - Prob. 36BSCCh. 1.1 - Whats Wrong with This Picture? The Newport...Ch. 1.1 - Falsifying Data A researcher at the...Ch. 1.2 - Parameter and Statistic In a Harris Interactive...Ch. 1.2 - Prob. 2BSCCh. 1.2 - Discrete/Continuous Data Which of the following...Ch. 1.2 - Health Survey In a survey of 1020 adults in the...Ch. 1.2 - Prob. 5BSCCh. 1.2 - In Exercises 5-12, identify whether the given...Ch. 1.2 - Prob. 7BSCCh. 1.2 - Prob. 8BSCCh. 1.2 - Prob. 9BSCCh. 1.2 - Prob. 10BSCCh. 1.2 - In Exercises 5-12, identify whether the given...Ch. 1.2 - In Exercises 5-12, identify whether the given...Ch. 1.2 - Prob. 13BSCCh. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - Prob. 15BSCCh. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - Prob. 17BSCCh. 1.2 - Prob. 18BSCCh. 1.2 - Prob. 19BSCCh. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 21-28, determine which of the four...Ch. 1.2 - In Exercises 29-32, identify the level of...Ch. 1.2 - In Exercises 29-32, identify the level of...Ch. 1.2 - In Exercises 29-32, identify the level of...Ch. 1.2 - In Exercises 29-32, identify the level of...Ch. 1.2 - Countable For each of the following, categorize...Ch. 1.3 - Prob. 1BSCCh. 1.3 - Prob. 2BSCCh. 1.3 - Replication In what specific way was replication...Ch. 1.3 - Prob. 4BSCCh. 1.3 - Prob. 5BSCCh. 1.3 - Prob. 6BSCCh. 1.3 - Prob. 7BSCCh. 1.3 - Prob. 8BSCCh. 1.3 - Prob. 9BSCCh. 1.3 - Prob. 10BSCCh. 1.3 - Prob. 11BSCCh. 1.3 - Prob. 12BSCCh. 1.3 - Prob. 13BSCCh. 1.3 - Prob. 14BSCCh. 1.3 - Prob. 15BSCCh. 1.3 - Prob. 16BSCCh. 1.3 - In Exercises 9-20, identify which of these types...Ch. 1.3 - Prob. 18BSCCh. 1.3 - Prob. 19BSCCh. 1.3 - Prob. 20BSCCh. 1.3 - Critical Thinking: What's Wrong? In Exercises...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises...Ch. 1.3 - Prob. 23BSCCh. 1.3 - Prob. 24BSCCh. 1.3 - Prob. 25BSCCh. 1.3 - Prob. 26BSCCh. 1.3 - Prob. 27BSCCh. 1.3 - Prob. 28BSCCh. 1.3 - Prob. 29BBCh. 1.3 - Prob. 30BBCh. 1.3 - In Exercises 29-32, indicate whether the...Ch. 1.3 - In Exercises 29-32, indicate whether the...Ch. 1.3 - In Exercises 33-36, identify which of these...Ch. 1.3 - Prob. 34BBCh. 1.3 - In Exercises 33-36, identify which of these...Ch. 1.3 - In exercises 3336, identity which of these designs...Ch. 1.3 - Prob. 37BBCh. 1.4 - Equals Key On many calculators, the end of a...Ch. 1.4 - Prob. 2BSCCh. 1.4 - Prob. 3BSCCh. 1.4 - Prob. 4BSCCh. 1.4 - Prob. 5BSCCh. 1.4 - Prob. 6BSCCh. 1.4 - Prob. 7BSCCh. 1.4 - Prob. 8BSCCh. 1.4 - Prob. 9BSCCh. 1.4 - Prob. 10BSCCh. 1.4 - Prob. 11BSCCh. 1.4 - Prob. 12BSCCh. 1.4 - Prob. 13BSCCh. 1.4 - Prob. 14BSCCh. 1.4 - Prob. 15BSCCh. 1.4 - Prob. 16BSCCh. 1.4 - Prob. 17BSCCh. 1.4 - Prob. 18BSCCh. 1.4 - Prob. 19BSCCh. 1.4 - Prob. 20BSCCh. 1.4 - Prob. 21BSCCh. 1.4 - Prob. 22BSCCh. 1.4 - Scientific Notation in Exercises 2124, use the...Ch. 1.4 - Scientific Notation in Exercises 2124, use the...Ch. 1.4 - Prob. 25BBCh. 1 - Hospitals In a study of births in New York State,...Ch. 1 - Hospitals Which of the following best describes...Ch. 1 - Prob. 3CQQCh. 1 - Prob. 4CQQCh. 1 - Prob. 5CQQCh. 1 - Prob. 6CQQCh. 1 - Prob. 7CQQCh. 1 - Prob. 8CQQCh. 1 - Prob. 9CQQCh. 1 - Prob. 10CQQCh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Divorces and Margarine One study showed that there...Ch. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Colleges in United States Currently, there are...Ch. 1 - Prob. 8RECh. 1 - Types of Data In each of the following, identify...Ch. 1 - Prob. 10RECh. 1 - Prob. 1CRECh. 1 - Prob. 2CRECh. 1 - Prob. 3CRECh. 1 - Prob. 4CRECh. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - Prob. 6CRECh. 1 - Prob. 7CRECh. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - Prob. 9CRECh. 1 - Prob. 10CRECh. 1 - Prob. 11CRECh. 1 - Prob. 12CRECh. 1 - Prob. 1TPCPCh. 1 - Prob. 1FDDCh. 1 - Prob. 2FDDCh. 1 - Prob. 3FDDCh. 1 - Prob. 4FDD
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- 2,3, ample and rical t? the 28 Suppose that a mound-shaped data set has a mean of 10 and standard deviation of 2. a. About what percentage of the data should lie between 8 and 12? b. About what percentage of the data should lie above 10? c. About what percentage of the data should lie above 12?arrow_forward27 Suppose that you have a data set of 1, 2, 2, 3, 3, 3, 4, 4, 5, and you assume that this sample represents a population. The mean is 3 and g the standard deviation is 1.225.10 a. Explain why you can apply the empirical rule to this data set. b. Where would "most of the values" in the population fall, based on this data set?arrow_forward30 Explain how you can use the empirical rule to find out whether a data set is mound- shaped, using only the values of the data themselves (no histogram available).arrow_forward
- 5. Let X be a positive random variable with finite variance, and let A = (0, 1). Prove that P(X AEX) 2 (1-A)² (EX)² EX2arrow_forward6. Let, for p = (0, 1), and xe R. X be a random variable defined as follows: P(X=-x) = P(X = x)=p. P(X=0)= 1-2p. Show that there is equality in Chebyshev's inequality for X. This means that Chebyshev's inequality, in spite of being rather crude, cannot be improved without additional assumptions.arrow_forward4. Prove that, for any random variable X, the minimum of EIX-al is attained for a = med (X).arrow_forward
- 8. Recall, from Sect. 2.16.4, the likelihood ratio statistic, Ln, which was defined as a product of independent, identically distributed random variables with mean 1 (under the so-called null hypothesis), and the, sometimes more convenient, log-likelihood, log L, which was a sum of independent, identically distributed random variables, which, however, do not have mean log 1 = 0. (a) Verify that the last claim is correct, by proving the more general statement, namely that, if Y is a non-negative random variable with finite mean, then E(log Y) log(EY). (b) Prove that, in fact, there is strict inequality: E(log Y) < log(EY), unless Y is degenerate. (c) Review the proof of Jensen's inequality, Theorem 5.1. Generalize with a glimpse on (b).arrow_forward3. Prove that, for any random variable X, the minimum of E(X - a)² is attained for a = EX. Provedarrow_forward7. Cantelli's inequality. Let X be a random variable with finite variance, o². (a) Prove that, for x ≥ 0, P(X EX2x)≤ 02 x² +0² 202 P(|X - EX2x)<≤ (b) Find X assuming two values where there is equality. (c) When is Cantelli's inequality better than Chebyshev's inequality? (d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall, from Proposition 6.1, that an application of Chebyshev's inequality yields the bound o√√2. (e) Generalize Cantelli's inequality to moments of order r 1.arrow_forward
- The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardThe Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forward
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