Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 11, Problem 81CP
a.
To determine
Show that the square of 1.96 is the chi-squared score for
b.
To determine
Show the connection between normal and chi-squared value when P-value = 0.01.
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In order to find probability, you can use this formula in Microsoft Excel:
The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest.
=NORM.DIST(x, Mean, Standard Dev., TRUE).
When the question mentions “greater than” you may have to subtract your answer from 1.
When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer.
1.
Compute the probability of a value between 44.0 and 55.0.
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In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
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The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
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The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…
Problem 1:
The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is:
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Problem 2:
The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.
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What is the area between the mean and 395 pounds?
What is the probability of randomly selecting a value less than 395 pounds?
Problem 3:
In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution.
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Chapter 11 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 11.1 - Gender gap in politics? In the United States, is...Ch. 11.1 - Prob. 2PBCh. 11.1 - Williams College admission Data from 2013 posted...Ch. 11.1 - Prob. 4PBCh. 11.1 - Marital happiness and income In the GSS, subjects...Ch. 11.1 - What is independent of happiness? Which one of the...Ch. 11.1 - Sample evidence about independence Refer to the...Ch. 11.2 - Life after death and gender In the 2012 GSS, 605...Ch. 11.2 - Happiness and gender For the 2 3 table on gender...Ch. 11.2 - Prob. 10PB
Ch. 11.2 - Marital happiness and income In Exercise 11.5 when...Ch. 11.2 - First and second free throw independent? In pro...Ch. 11.2 - Cigarettes and marijuana The table on the...Ch. 11.2 - Prob. 14PBCh. 11.2 - Help the environment In 2010 the GSS asked whether...Ch. 11.2 - Prob. 16PBCh. 11.2 - Aspirin and heart attacks A Swedish study used...Ch. 11.2 - z test for heart attack study Refer to the...Ch. 11.2 - Severity of fever after flu shot The study...Ch. 11.2 - Prob. 20PBCh. 11.2 - Testing a genetic theory In an experiment on...Ch. 11.2 - Birthdays by quarters Based on a random sample of...Ch. 11.2 - Checking a roulette wheel Karl Pearson devised the...Ch. 11.3 - Democrat, race, and gender The two tables show...Ch. 11.3 - Death penalty associations Table 11.10, summarized...Ch. 11.3 - Smoking and alcohol The table refers to a survey...Ch. 11.3 - Sex of victim and offender For murders in the...Ch. 11.3 - Smelling and mortality A recent study (Pinto et...Ch. 11.3 - Vioxx In September 2004, the pharmaceutical...Ch. 11.3 - Egg and cell derived vaccine When comparing the...Ch. 11.3 - Risk of dying for teenagers According to...Ch. 11.3 - Marital happiness The table shows 2012 GSS data on...Ch. 11.3 - Party ID and gender The table shows the 2012 GSS...Ch. 11.3 - Chi-squared versus measuring association For the...Ch. 11.4 - Standardized residuals for happiness and income...Ch. 11.4 - Prob. 36PBCh. 11.4 - Prob. 37PBCh. 11.4 - Prob. 38PBCh. 11.4 - Prob. 39PBCh. 11.4 - Prob. 40PBCh. 11.5 - Keeping old dogs mentally sharp In an experiment...Ch. 11.5 - Prob. 43PBCh. 11.5 - Prob. 44PBCh. 11.5 - Prob. 46PBCh. 11 - Female for president? When recent General Social...Ch. 11 - Prob. 48CPCh. 11 - Down and chi-squared For the data in the previous...Ch. 11 - Prob. 50CPCh. 11 - Prob. 51CPCh. 11 - Prob. 52CPCh. 11 - Prob. 53CPCh. 11 - Prob. 54CPCh. 11 - Prob. 55CPCh. 11 - Prob. 56CPCh. 11 - Seat belt helps? The table refers to passengers in...Ch. 11 - Prob. 58CPCh. 11 - Prob. 59CPCh. 11 - Prob. 60CPCh. 11 - Prob. 61CPCh. 11 - Prob. 62CPCh. 11 - Prob. 63CPCh. 11 - Prob. 64CPCh. 11 - Clarity of diamonds Does the clarity of a diamond...Ch. 11 - Benfords Law When looking at a collection of...Ch. 11 - Prob. 67CPCh. 11 - Prob. 68CPCh. 11 - Prob. 70CPCh. 11 - Prob. 71CPCh. 11 - Prob. 72CPCh. 11 - Prob. 73CPCh. 11 - Prob. 74CPCh. 11 - Prob. 75CPCh. 11 - Prob. 76CPCh. 11 - Prob. 77CPCh. 11 - Prob. 78CPCh. 11 - Prob. 79CPCh. 11 - Statistical versus practical significance In any...Ch. 11 - Prob. 81CPCh. 11 - Multiple response variables Each subject in a...Ch. 11 - Standardized residuals for 2 2 tables The table...Ch. 11 - Prob. 84CPCh. 11 - Prob. 85CPCh. 11 - Prob. 86CPCh. 11 - Prob. 87CPCh. 11 - Prob. 88CPCh. 11 - Voting with 16 A recent survey of Austrian high...
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