HEART OF MATHEMATICS
4th Edition
ISBN: 9781119760061
Author: Burger
Publisher: WILEY
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Textbook Question
Chapter 9.3, Problem 12MS
Unseasonable weather. The average high temperature in Anchorage, Alaska, in January is
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The average annual precipitation in Vancouver, British Columbia is 1300 mm. Assuming that the distribution of precipitation amounts is approximately normal with a standard deviation of 230 mm, determine whether each of the following represents a fairly typical year, an extremely wet year, or an extremely dry year. Write a statement and explanation for each answer.
a. Annual precipitation of 1600 mm.
b. Annual precipitation of 1050 mm.
See picture for question.
Explaination:
Eureka is a weather station in the state of California and Essex is a weather station in the state of Massachusetts. On one summer day, the noontime temperatures recorded among weather stations in California had a population mean of 29.9° Celsius and a standard deviation of 1.1° Celsius. On that same day, the noontime temperatures among weather stations in Massachusetts had a population mean of 39.2° Celsius and a standard deviation of 4.4° Celsius. On the summer day, each state's distribution of noontime temperatures among its weather stations was clearly bell-shaped.
At the Eureka weather station, the noontime temperature on the summer day was 27° Celsius, and the noontime temperature at Essex was 24° Celsius.
A town's January high temperatures average
36°F
with a standard deviation of
9°,
while in July the mean high temperature is
77°
and the standard deviation is
8°.
In which month is it more unusual to have a day with a high temperature of
57°?
Explain.
Select the correct choice below and fill in the answer boxes within your choice.
(Round to three decimal places as needed.)
A.
It is more unusual to have a day with a high temperature of 57° in January. A high temperature of 57° in January is ? standard deviations above the mean and a high temperature of 57° in July is only ? standard deviations belowthe mean.
B.
It is more unusual to have a day with a high temperature of 57° in July. A high temperature of 57° in July is ? standard deviations below the mean and a high temperature of 57° in January is only ? standard deviations
above the mean.
Chapter 9 Solutions
HEART OF MATHEMATICS
Ch. 9.1 - Embarrassing data. Suppose you asked 100 students...Ch. 9.1 - Hugging both parents (S). You ask 150 students to...Ch. 9.1 - Short test. To save time grading, a professor asks...Ch. 9.1 - Computer polls. Suppose dot-corn entrepreneurs...Ch. 9.1 - Voluntary grade inflation. The dean felt that a...Ch. 9.1 - Pornography (ExH). Suppose you asked 100 students...Ch. 9.1 - Cartoons. Suppose 380 students out of 1000 still...Ch. 9.1 - Bias beef (H). Suppose you have an assignment to...Ch. 9.1 - Drug data (ExH). You ask 250 students to answer...Ch. 9.1 - Kissing. You ask 180 students to answer the...
Ch. 9.1 - Cheating (S). Suppose 60 students out of 200...Ch. 9.1 - Dental hygiene. Suppose you want to know how often...Ch. 9.1 - More homework. In a recent survey of random...Ch. 9.1 - PBS. In the old days, the Nielsen ratings of...Ch. 9.1 - 9:00 AM versus 9:00 PM (H). You take a survey of...Ch. 9.1 - Internet askew. Find ads or articles on the Web...Ch. 9.1 - Sleazy survey (H). The mayor of a city seeks to...Ch. 9.1 - Bread winners? You want to know in what percentage...Ch. 9.1 - Beemer babies (H). You want to estimate what...Ch. 9.1 - Coffee, tea, or milk? Youre considering whether to...Ch. 9.1 - The dog pound. Otis the puppy grew approximately...Ch. 9.1 - Hows that again? An ambitious politician in your...Ch. 9.1 - Smells like team spirit. A losing basketball team...Ch. 9.1 - Stack me timbers. Every October, students from the...Ch. 9.1 - Risky business (H). In a psychology class, the...Ch. 9.1 - Risky II. The psychology instructor from the...Ch. 9.2 - Internet costs. Make a histogram of the data on...Ch. 9.2 - Internet costs—summaries (S). Find the mean and...Ch. 9.2 - Internet costs-more summaries. Compute the...Ch. 9.2 - How variable. Remember that the standard deviation...Ch. 9.2 - Pie or no pie. Below are two graphical...Ch. 9.2 - Stats on steroids. Harry Bonds and Mark McGwire...Ch. 9.2 - Whos the best—short summary. For the home-run...Ch. 9.2 - Will tomorrow be different? At the beginning of...Ch. 9.2 - How different are they? (S) The following...Ch. 9.2 - Whats normal? The histograms of three data sets...Ch. 9.2 - Check the bounce (ExH). Until 1992, members of...Ch. 9.2 - College data. Using the student survey data given...Ch. 9.2 - News data. Find some data in a recent newspaper or...Ch. 9.2 - Which half? Half of the people in the United...Ch. 9.2 - Grades. A student received the following quiz...Ch. 9.2 - Raising scores (ExH). A student received the...Ch. 9.2 - Mean and median (S). Give an example of a data set...Ch. 9.2 - Median and mean. Give an example of a data set...Ch. 9.2 - Some taxing statistics (H). Politicians love to...Ch. 9.2 - Whoops. Find an example in a recent newspaper or...Ch. 9.2 - Further whoops (H). A survey of 100 recent college...Ch. 9.2 - Is this normal? Suppose the data in the previous...Ch. 9.2 - Average the grades. In a math class of 23 men and...Ch. 9.2 - Taxes(ExH). Find an effective graphical...Ch. 9.2 - Kids in the hall. You have three cousins with mean...Ch. 9.2 - Testing the data. A math instructor reports the...Ch. 9.2 - One mean mean. Suppose an instructor reports exam...Ch. 9.2 - Home sweet home. For a political science project,...Ch. 9.2 - No back up (H). You have 120 pieces of data. They...Ch. 9.3 - I.D. please. Identify the Distributions below as...Ch. 9.3 - Deviating from the norm (H). The following three...Ch. 9.3 - Match quest. The following three data sets are...Ch. 9.3 - Doubt the dice. You have four different dice and...Ch. 9.3 - More matching. A class was quizzed on two...Ch. 9.3 - Gas guzzling. In the One-Die Random Gas Station...Ch. 9.3 - Dr Die. Suppose you doctor a standard six-sided...Ch. 9.3 - Dr. Mean (S). What is the mean roll you would...Ch. 9.3 - A podiatrist in the making. Suppose you ask the...Ch. 9.3 - Beanie babies (S). All freshmen entering...Ch. 9.3 - Retiring standards (ExH). A classmate describes a...Ch. 9.3 - Unseasonable weather. The average high temperature...Ch. 9.3 - Are you normal? Which of the following data sets...Ch. 9.3 - Warming Up? (H) Suppose we measure the temperature...Ch. 9.3 - Possibly uniform. Which of the following data sets...Ch. 9.3 - Under the normally spreading chestnut tree. A...Ch. 9.3 - Abnormal. Give two example of data sets from your...Ch. 9.3 - Heavry petting. You adopt a kitten from the animal...Ch. 9.3 - Less than normal. Here are some distributions that...Ch. 9.3 - Gas guzzling (ExH). Consider the Two-Dice Random...Ch. 9.3 - The 68-95-99.7rule. Referring back to a discussion...Ch. 9.3 - Heads up. The marching band is getting new...Ch. 9.3 - Knees up. Building on the previous Mindscape,...Ch. 9.3 - Mother Brown (H). The most popular pizza place...Ch. 9.3 - Scoring some Zs. Refer to the formula for the...Ch. 9.3 - 2Catchin some Zs. You happen to know the z-score...Ch. 9.4 - Sophomore survey. You want to survey all students...Ch. 9.4 - IntenaI confidence. Which of the following best...Ch. 9.4 - Voting bodies. Calculate the percentage of the...Ch. 9.4 - Play the percentages. If n=100, what is the value...Ch. 9.4 - Play the percentages backwards (S). If 1n=0.05...Ch. 9.4 - Election up for grabs. In the upcoming election...Ch. 9.4 - U.S. samples (S). Suppose you can be quite...Ch. 9.4 - Bigger confidence? Suppose a pollster reports that...Ch. 9.4 - Overlapping confidence. Suppose two surveys are...Ch. 9.4 - Does size matter? (ExH) You want to gather data...Ch. 9.4 - More voting bodies (H). You want to gather data...Ch. 9.4 - National poll. Suppose you do polling in each of...Ch. 9.4 - Dizzy Lincoln. The text describes a penny-spinning...Ch. 9.4 - Hire a consultant. A consulting firm analyzed...Ch. 9.4 - House of cards. Your friend hands you a deck of 52...Ch. 9.4 - A fish story (ExH). You are a biologist sampling...Ch. 9.4 - Political gamble. The mayor of a small city has...Ch. 9.4 - The power of placebo. A study of pain relief...Ch. 9.4 - Marge Innoverra. You test 100 light bulbs randomly...Ch. 9.4 - How many math students does it take …(S). How...Ch. 9.4 - … to screw in a lightbulb? How many light bulbs...Ch. 9.4 - Snack sample (H). A survey asking students whether...Ch. 9.4 - Stop the study (ExH). A 2006 NIH study of...Ch. 9.4 - The sniff test. In 2004 the British Medical...Ch. 9.4 - Roving report. In 2006 there was a scandal...Ch. 9.4 - Polling roundup (H). A polling organization wants...Ch. 9.4 - Rodent roundup. Your psychology class is planning...Ch. 9.4 - Even more confident. Mindscape 27 gives a more...Ch. 9.4 - ESP. Your psychology class does some experiments...Ch. 9.4 - Trying trials. Your roommate is supervising an...Ch. 9.5 - Mendels snapdragons. Another of Mendels...Ch. 9.5 - Telephone/soda twins. Suppose your school has 1000...Ch. 9.5 - Correlation comparison. Below are three...Ch. 9.5 - Percent practice. Convert the fractions below to...Ch. 9.5 - Family dinner. Recent studies have reported on the...Ch. 9.5 - More Mendel (S). Given Mendels snapdragon...Ch. 9.5 - Oedipus red. Given Mendels work described in...Ch. 9.5 - Oedipus white. Given Mende1 work described in...Ch. 9.5 - Prob. 9MSCh. 9.5 - Astrology. An experiment is done to test the value...Ch. 9.5 - Stressful diet. One hundred young women were given...Ch. 9.5 - Abstinence evidence? President George W. Bush...Ch. 9.5 - Matching correlations. Below are some scatterplots...Ch. 9.5 - Fast data (H). If you plot the wining Olympic mens...Ch. 9.5 - College town. You go to school in a college town....Ch. 9.5 - Car count (S). You wonder how many cars there are...Ch. 9.5 - For Mindscapes 19-22, say whether or not each is...Ch. 9.5 - For Mindscapes 19-22, say whether or not each is...Ch. 9.5 - For Mindscapes 19-22, say whether or not each is...Ch. 9.5 - For Mindscapes 19-22, say whether or not each is...Ch. 9.5 - Mendel genealogy (H). We return once again to...Ch. 9.5 - Martian genetics. A certain alien species has...Ch. 9.5 - More Martians. Given the scenario from the...Ch. 9.5 - Politics as usual. During the presidential...Ch. 9.5 - Going postal. Your company will sign a contract...Ch. 9.5 - Fast paradox (ExH). The correlation between year...Ch. 9.5 - Up and down. In the past year, the grade point...Ch. 9.5 - Modified Mendel. We again return to Mendel...Ch. 9.5 - Going extinct. A paleontologist has gathered data...Ch. 9.5 - Diners delight. There are five dining halls on...Ch. 9.5 - The candy man. Your math instructor brings a...Ch. 9.5 - The candy jars. Your math instructor brings two...Ch. 9.5 - Correlated chorus (H). The chorus has data on the...Ch. 9.5 - Correlated Britney. The Britney S. Fan Club has...
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