Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 4, Problem 36P
Use the following information to answer the next seven exercises: A ballet instructor is interested in knowing what percent of each year’s class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following
Let X = the number of years a student will study ballet with the teacher.
Let P(x) = the probability that a student will study ballet x years.
You ate playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $30. If it Is not a face card, you pay $2. There are 12 face cards in a deck of 52 cards. Should you play the game?
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An investigator analyzed the leading digits from 797 checks issued by seven suspect companies. The frequencies were found to be 0, 19, 2, 50, 361, 309, 10, 22, and 24, and those digits correspond to the
leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result
from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud?
Leading Digit
Actual Frequency
Benford's Law: Distribution of Leading Digits
1
2
3
4
5
6
7
8
9
0
19
2
50
361
309
10
22
24
30.1%
17.6%
12.5%
9.7%
7.9%
6.7%
5.8%
5.1%
4.6%
Determine the null and alternative hypotheses.
Ho The leading digits are from a population that conforms to Benford's law.
H₁: At least one leading digit has a frequency that does not conform to Benford's law.
Calculate the test statistic, x².
x²
=
(Round to three…
For the distribution drawn here, identify the mean, median, and mode.
Question content area bottom
Part 1
A.
Aequalsmode, Bequalsmedian, Cequalsmean
B.
Aequalsmode, Bequalsmean, Cequalsmedian
C.
Aequalsmedian, Bequalsmode, Cequalsmean
D.
Aequalsmean, Bequalsmode, Cequalsmedian
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected
from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both
parts.
a. Test the claim that the two samples are from populations with the same mean.
What are the null and alternative hypotheses?
OA. Ho PP2
H₁: P1 P2
OC. Ho H₁₂
H₁: P₁
Chapter 4 Solutions
Introductory Statistics
Ch. 4 - A hospital researcher Is Interested In the number...Ch. 4 - Jeremiah has basketball practice two days a week....Ch. 4 - A hospital researcher is interested in the number...Ch. 4 - You are playing a game of chance In which four...Ch. 4 - Suppose you play a game with a spinner. You play...Ch. 4 - On Ma 11, 2013 at 9:30 PM. the probability that...Ch. 4 - The state health board is concerned about the...Ch. 4 - A trainer is teaching a dolphin to do tricks. The...Ch. 4 - A fair, six-sided die is rolled ten times. Each...Ch. 4 - Sixty-five percent of people pass the state...
Ch. 4 - About 32% of students participate in a community...Ch. 4 - According to a Gallup poll, 60% of American adults...Ch. 4 - During the 2013 regular NBA season. DeAndre Jordan...Ch. 4 - A lacrosse team is selecting a captain. The names...Ch. 4 - You throw darts at a board until you hit the...Ch. 4 - An instructor feels that 15% of students get below...Ch. 4 - You need to find a store that carries a special...Ch. 4 - The probability of a defective steel rod is 0.01....Ch. 4 - The literacy rate for a nation measures the...Ch. 4 - A bag contains letter tiles. Forty-four of the...Ch. 4 - A gross of eggs contains 144 eggs. A particular...Ch. 4 - A palette has 200 milk cartons. Of the 200 canons,...Ch. 4 - An intramural basketball team Is to be chosen...Ch. 4 - The average number of fish caught In an hour Is...Ch. 4 - An electronics store expects to have ten returns...Ch. 4 - An emergency room at a particular hospital gets an...Ch. 4 - A customer service center receives about ten...Ch. 4 - According to a recent poll by the Pew Internet...Ch. 4 - Atlanta’s Hartsfield-Jackson International Airport...Ch. 4 - On May 13, 2013, starting at 4:30 PM, the...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Suppose that the PDF for the number of years it...Ch. 4 - A theater group holds a fund-raiser. It sells 100...Ch. 4 - A game Involves selecting a card from a regular...Ch. 4 - You buy a lottery ticket to a lottery that costs...Ch. 4 - Complete the PDF and answer the questions. a. Find...Ch. 4 - Suppose that you are offered the following deal.’...Ch. 4 - A venture capitalist, willing to invest...Ch. 4 - Suppose that 20,000 married adults in the United...Ch. 4 - Suppose that the PDF for the number of years It...Ch. 4 - People visiting video rental stores often rent...Ch. 4 - A friend’ offers you the following deal. For a $10...Ch. 4 - Florida State University has 14 statistics classes...Ch. 4 - In a lottery, there are 250 prizes of $5. 50...Ch. 4 - According to a recent ankle the average number of...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - People visiting video rental stores often rent...Ch. 4 - A school newspaper reporter decides to randomly...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following infonnanors to answer the next...Ch. 4 - What is the probability that the San Jose Sharks...Ch. 4 - A student takes a ten-question true-false quiz,...Ch. 4 - A student takes a 32-question multiple-choice...Ch. 4 - Six different colored dice are rolled. Of interest...Ch. 4 - More than 96 percent of the veiy Largest colleges...Ch. 4 - Suppose that about 85% of graduating students...Ch. 4 - At The Fencing Center. 60% of the fencers use the...Ch. 4 - Approximately 8% of students at a local high...Ch. 4 - The chance of an IRS audit for a tax return with...Ch. 4 - It has been estimated that only about 30% of...Ch. 4 - There are two similar games played for Chinese New...Ch. 4 - According to The World Bank, only 9% of the...Ch. 4 - The literacy rate for a nation measures the...Ch. 4 - A consumer looking to buy a used red Miata car...Ch. 4 - Suppose that the probability that an adult In...Ch. 4 - It has been estimated that only about 3000 of...Ch. 4 - In one of its Spring catalogs, Li. Beans...Ch. 4 - Suppose that you are performing the probability...Ch. 4 - Ellen has music practice three days a week. She...Ch. 4 - The World Bank records the prevalence of HIV In...Ch. 4 - According to a recent Pew Research poll, 75% of...Ch. 4 - A group of Martial Arts students Is planning on...Ch. 4 - In one of its Spring catalogs, L.L. Bean...Ch. 4 - Suppose that a technology task force Is being...Ch. 4 - Suppose that nine Massachusetts athletes are...Ch. 4 - A bridge hand Is defined as 13 cards selected at...Ch. 4 - The switchboard in a Minneapolis law office gets...Ch. 4 - The matemity ward at Dr. Jose Fabella Memorial...Ch. 4 - A manufacturer of Christmas tree light bulbs knows...Ch. 4 - The average number of children a Japanese woman...Ch. 4 - The average number of children a Spanish woman has...Ch. 4 - Fertile, female cats produce an average of three...Ch. 4 - The chance of having an extra fortune In a fortune...Ch. 4 - According to the South Carolina Department of...Ch. 4 - The chance of an IRS audit for a tax return with...Ch. 4 - Approximately 8% of students at a local high...Ch. 4 - On average, Pierre, an amateur chef, drops three...Ch. 4 - Use the following information to answer the next v...Ch. 4 - Use the following information to answer the next v...
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