Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 4, Problem 51PS
To determine
Determine the number of ways to select 3 articles from 20 articles in a reading list.
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2. Consider the negative binomial distribution with parameters r,p and having pmf
nb(x;r,p) =
Ꮖ
(* + r − ¹) p*(1 − p)²
p'(1-p) x = 0, 1, 2, 3, … ….
(a) Supposer 2, then show that
T-1
p =
X+r−1
is an unbiased estimator for p. (Hint: write out E(p), then cancel out x+r −1 inside
the sum).
(b) A reporter wishing to interview five individuals who support a certain candidate (for
presidency?) begins asking people whether they support (S) or not support (F) the can-
didate.
If they observe the following sequence of responses SFFSfffffffffffSSS, esti-
mate p the true proportion of people who support the candidate.
How does the estimate change if the following sequence of responses were observed
ssssfffffffffffffs.
Does it matter to the estimate when the first four S's appear in the sequence of responses?
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a
mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion
Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall
distance measured.
Brand 1: 275, 286, 287, 271, 283, 271, 279, 275, 263, 267
Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268
a) Is there evidence to support the claim that the standard deviation of overall distance is the
same for both brands of balls (use α = 0.05)?
b) Is there evidence to support the claim that the mean of the overall distance is the same for
both brands of balls (use α = 0.05)?
Chapter 4 Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Ch. 4 - Three coins are tossed. a. Give an example of a...Ch. 4 - An urn contain 12 red balls and 8 white balls. One...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - For each of the following, indicate whether the...Ch. 4 - For each of the following, state whether the...Ch. 4 - Prob. 7PSCh. 4 - Do males or females feel more tense or stressed...Ch. 4 - Prob. 9PSCh. 4 - How will marketers change their social media use...
Ch. 4 - Referring to the contingency table in Problem...Ch. 4 - Prob. 12PSCh. 4 - Prob. 13PSCh. 4 - Prob. 14PSCh. 4 - Each year ratings are compiled concerning the...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - If P(AandB)=0.4andP(B)=0.8,findP(AB).Ch. 4 - Prob. 19PSCh. 4 - ...Ch. 4 - Do males or females feel more tense or stressed...Ch. 4 - Prob. 22PSCh. 4 - Prob. 23PSCh. 4 - Prob. 24PSCh. 4 - Prob. 25PSCh. 4 - Each year, rating are compiled concerning the...Ch. 4 - Prob. 27PSCh. 4 - A standard deck of cards is being used to play a...Ch. 4 - Prob. 29PSCh. 4 - ...Ch. 4 - ...Ch. 4 - In Example 4.10 to suppose that the probability...Ch. 4 - Prob. 33PSCh. 4 - Olive Construction Company is determining whether...Ch. 4 - Prob. 35PSCh. 4 - The editor of a textbook published company is...Ch. 4 - A municipal bond service has three rating...Ch. 4 - If there are 10 multiple-choice question on an...Ch. 4 - A lock on a bank vault consists of three dials,...Ch. 4 - a. If a coin is tossed seven times, how many...Ch. 4 - A particular brand of women’s jeans is available...Ch. 4 - Prob. 42PSCh. 4 - Prob. 43PSCh. 4 - Prob. 44PSCh. 4 - Referring to Problem 4.44 how many different...Ch. 4 - A gardener has six rows available in his vegetable...Ch. 4 - Prob. 47PSCh. 4 - Four member of a group of 10 people are to be...Ch. 4 - A student has seven books that she would like to...Ch. 4 - A daily lottery is conducted in which 2 winning...Ch. 4 - Prob. 51PSCh. 4 - What are the differences between a priori...Ch. 4 - What is the difference between a simple event and...Ch. 4 - How can you use the general addition rule to find...Ch. 4 - What is the difference between mutually exclusive...Ch. 4 - How does conditional probability relate to the...Ch. 4 - How does the multiplication rule differ for events...Ch. 4 - How can you use Bayes theorem in light of new...Ch. 4 - In Bayes’ theorem, how does the prior...Ch. 4 - A survey by the Health Research Institute at...Ch. 4 - SHL Americas provides a unique, global perspective...Ch. 4 - Prob. 62PSCh. 4 - Prob. 63PSCh. 4 - Prob. 64PSCh. 4 - Prob. 65PS
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In a random sample of 600 adults in that country in a recent year, 25% say they are concerned that their taxes will be audited. At a = 0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (d) below. ... (a) Identify the claim and state Ho and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least B. Less than % of adults in the country think that their taxes will be audited. % of adults in the country think that their taxes will be audited. C. The percentage of adults in the country who think that their taxes will be audited is not %. D. % of adults in the country think that their taxes will be audited. Let p be the population proportion of successes, where a success is an adult in the country who thinks that…arrow_forwardThe table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. Construct a 90% prediction interval for sales when the total square footage is 5.7 billion. The equation of the regression line is y = 567.939x - 1985.560. Total 4.9 5.2 5.3 5.4 5.5 5.6 5.9 5.9 5.9 6.1 Square Footage, x Sales, y 880.1 935.5 989.5 1056.9 1100.7 1201.9 1283.4 1346.3 1434.8 1549.5 Click the icon to view a table of critical values for the t-distribution. Construct a 90% prediction interval for the sales when the total square footage is 5.7 billion. Choose the correct prediction interval below, rounded to the nearest million dollars.arrow_forwardThe maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of -0.941. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 205 kilograms and can sprint 10 meters in 2.01 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r (Round to three decimal places a going from 0.941 to - gets stronger, gets weaker, stays the same,arrow_forwardYou receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. 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Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Ho. There enough evidence at the ☐ % level of significance to Fail to reject Reject .... the claim.arrow_forwardA politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is $8700. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.01, is there enough evidence to support the claim? Use technology. 92,421 81,412 85,143 97,220 99,317 71,884 97,762 86,108 98,385 73,869 81,391 95,997 98,828 86,476 77,893 74,995 90,472 81,330 92,183 94,649 77,880 91,821 90,907 84,640 78,479 81,703 89,573 89,948 70,938 81,300 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: " =85,000 Нa: μ85,000 D. Hoi u >85,000 Нa: μ≤85,000 (b) Identify the standardized test statistic. Z= B. Hoμ≥85,000 Haμ85,000 Haμ≤85,000 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. (Round to three decimal places as needed.) (d) Decide whether to reject…arrow_forwardI would like to get help to know how to make a report of the multiple regression analysis I performed about 30 employees salaries. it should include a description of the predictice model, pre-analysis, regression analysis, interpretation of the relevant findings and a conclusion with recommendations. thank youarrow_forwardTHE QUESTION: Set up a free RStudio account at posit.cloud. At the start of your R session, you should enter the following commands. set.seed(1) e<-rnorm(n = 100,mean = 0,sd = 80) x<-seq(1,100,1) y<-10+15*x + e Follow the examples in the Panopto Videos to use R to obtain the values requested below. (As always, if you round your answers, make sure you do so correctly and keep at least three decimal places.) (a) The smallest value of y = (b) The largest value of y = (c) The standard deviation of y = (d) The mean of y = (e) The median of y = (f) The correlation between x and y = (g) Using the variable e as data, the p-value for a test of Ho = 0 vs. Hд μ0 is ANSWERS I HAVE TRIED THAT ARE NOT CORRECT ↓ Answer Preview (BESIDES F, F IS CORRECT) (A) -104.123 (B) 1545.84 (C) 448.543 (D) 752.347 (E) 775.533 (F) (G) 0.987 0.497 PLEASSSEEE DO NOT GIVE ME BACK THE SAME ANSWERS THAT I HAVE SAID ARE WRONG Result incorrect incorrect incorrect incorrect incorrect correct incorrectarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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