Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 11, Problem 53P
Which test do you use to decide whether an observed distribution is the same as an expected distribution?
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A smallish urn contains 25 small plastic bunnies – 7 of which are pink and 18 of which are white. 10 bunnies are drawn from the urn at random with replacement, and X is the number of pink bunnies that are drawn.
(a) P(X = 5) ≈
(b) P(X<6) ≈
The Whoville small urn contains 100 marbles – 60 blue and 40 orange. The Grinch sneaks in one night and grabs a simple random sample (without replacement) of 15 marbles.
(a) The probability that the Grinch gets exactly 6 blue marbles is [ Select ] ["≈ 0.054", "≈ 0.043", "≈ 0.061"] .
(b) The probability that the Grinch gets at least 7 blue marbles is [ Select ] ["≈ 0.922", "≈ 0.905", "≈ 0.893"] .
(c) The probability that the Grinch gets between 8 and 12 blue marbles (inclusive) is [ Select ] ["≈ 0.801", "≈ 0.760", "≈ 0.786"] . The Whoville small urn contains 100 marbles – 60 blue and 40 orange. The Grinch sneaks in one night and grabs a simple random sample (without replacement) of 15 marbles.
(a)…
Suppose an experiment was conducted to compare the mileage(km) per litre
obtained by competing brands of petrol I,II,III. Three new Mazda, three new
Toyota and three new Nissan cars were available for experimentation. During the
experiment the cars would operate under same conditions in order to eliminate
the effect of external variables on the distance travelled per litre on the assigned
brand of petrol. The data is given as below:
Brands of Petrol Mazda Toyota Nissan
I 10.6 12.0 11.0
II 9.0 15.0 12.0
III 12.0 17.4 13.0
(a) Test at the 5% level of significance whether there are signi
cant differences among the brands of fuels and also among the cars. [10]
(b) Compute the standard error for comparing any two fuel brands means. Hence
compare, at the 5% level of significance, each of fuel brands II, and III with
the standard fuel brand I. [10]
Business discuss
Chapter 11 Solutions
Introductory Statistics
Ch. 11 - A factory manager needs to understand how many...Ch. 11 - Teachers want to know which night each week their...Ch. 11 - The expected percentage of the number of pets...Ch. 11 - Students in a social studies class hypothesize...Ch. 11 - A sample of 300 students is taken. Of the students...Ch. 11 - The Bureau of Labor Statistics gathers data about...Ch. 11 - Refer back to the information in Try It. How many...Ch. 11 - Do families and singles have the same distribution...Ch. 11 - Ivy League schools receive many applications, but...Ch. 11 - A SCUBA instructor wants to record the collective...
Ch. 11 - The FCC conducts broadband speed tests to measure...Ch. 11 - If the number of degrees of freedom for a...Ch. 11 - If df > 90, the distribution is _____________. If...Ch. 11 - When does the chi-square curve approximate a...Ch. 11 - Where is µ located on a chi-square curve?Ch. 11 - Is it more likely the df is 90, 20, or two in the...Ch. 11 - Determine the appropriate test to be used in the...Ch. 11 - Determine the appropriate test to be used in the...Ch. 11 - Determine the appropriate test to be used in the...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - x2test statistic = ______. Use the following...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Test of Independence Determine the appropriate...Ch. 11 - Test of Independence Determine the appropriate...Ch. 11 - Test of Independence Determine the appropriate...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - a = 0.05 a. Decision: ___________________ b....Ch. 11 - a = 0.01 a. Decision: ___________________ b....Ch. 11 - A math teacher wants to see if two of her classes...Ch. 11 - What are the null and alternative hypotheses for...Ch. 11 - A market researcher wants to see if two different...Ch. 11 - A meteorologist wants to know if East and West...Ch. 11 - What condition must be met to use the test for...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Which test do you use to decide whether an...Ch. 11 - What is the null hypothesis for the type of test...Ch. 11 - Which test would you use to decide whether two...Ch. 11 - Which test would you use to decide if two...Ch. 11 - How are tests of independence similar to tests for...Ch. 11 - How are tests of independence different from tests...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - As the number of degrees of freedom increases, the...Ch. 11 - The standard deviation of the chi-square...Ch. 11 - The mean and the median of the chi-square...Ch. 11 - A six-sided die is rolled 120 times. Fill in the...Ch. 11 - The marital status distribution of the U.S. male...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - The City of South Lake Tahoe, CA, has an Asian...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - In a goodness-of-fit test, the expected values are...Ch. 11 - In general, if the observed values and expected...Ch. 11 - Use a goodness-of-fit test to determine if high...Ch. 11 - The test to use to determine if a six-sided die is...Ch. 11 - In a goodness-of fit test, if the p-value is...Ch. 11 - A sample of 212 commercial businesses was surveyed...Ch. 11 - Table 11.42 contains information from a survey...Ch. 11 - A recent debate about where in the United States...Ch. 11 - Car manufacturers are interested in whether there...Ch. 11 - College students may be interested in whether or...Ch. 11 - Some travel agents claim that honeymoon hot spots...Ch. 11 - A manager of a sports club keeps information...Ch. 11 - A major food manufacturer is concerned that the...Ch. 11 - According to Dan Lenard, an independent insurance...Ch. 11 - Suppose that 600 thirty-year-olds were surveyed to...Ch. 11 - The number of degrees of freedom for a test of...Ch. 11 - The test for independence uses tables of observed...Ch. 11 - The test to use when determining if the college or...Ch. 11 - In a test of independence, the expected number is...Ch. 11 - An ice cream maker performs a nationwide survey...Ch. 11 - Table 11.52 provides a recent survey of the...Ch. 11 - A 2013 poll in California surveyed people about...Ch. 11 - A psychologist is interested in testing whether...Ch. 11 - Do men and women select different breakfasts? The...Ch. 11 - A fisherman is interested in whether the...Ch. 11 - In 2007, the United States had 1.5 million...Ch. 11 - When looking at energy consumption, we are often...Ch. 11 - The Insurance Institute for Highway Safety...Ch. 11 - Is there a difference between the distribution of...Ch. 11 - If df = 2, the chi-square distribution has a shape...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - A plant manager is concerned her equipment may...Ch. 11 - Consumers may be interested in whether the cost of...Ch. 11 - Isabella, an accomplished Bay to Breakers runner,...Ch. 11 - Airline companies are interested in the...Ch. 11 - The number of births per woman in China is 1.6...Ch. 11 - According to an avid aquarist, the average number...Ch. 11 - The manager of "Frenchies" is concerned that...Ch. 11 - You want to buy a specific computer. A sales...Ch. 11 - A company packages apples by weight. One of the...Ch. 11 - a. Explain why a goodness-of-fit test and a test...
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