Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 1, Problem 32PR
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Explain why data on a rating scale are often treated as interval scale data in the behavioral sciences.
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Theorem 5.1 (Jensen's inequality)
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Can social media mistakes hurt your chances of finding a job? According to a survey of 1,000 hiring managers across many different industries, 76% claim that they use social media sites to research prospective candidates for any job. Calculate the probabilities of the following events. (Round your answers to three decimal places.) answer parts a-c. a) Out of 30 job listings, at least 19 will conduct social media screening. b) Out of 30 job listings, fewer than 17 will conduct social media screening. c) Out of 30 job listings, exactly between 19 and 22 (including 19 and 22) will conduct social media screening. show all steps for probabilities please. answer parts a-c.
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Chapter 1 Solutions
Statistics for the Behavioral Sciences
Ch. 1.2 - Prob. 1.1LCCh. 1.2 - Prob. 1.2LCCh. 1.2 - Prob. 1.3LCCh. 1.2 - Prob. 1.4LCCh. 1.3 - Prob. 2.1LCCh. 1.3 - Prob. 2.2LCCh. 1.3 - Prob. 2.3LCCh. 1.4 - Prob. 3.1LCCh. 1.4 - Prob. 3.2LCCh. 1.4 - Prob. 3.3LC
Ch. 1.4 - Prob. 3.4LCCh. 1.5 - Prob. 4.1LCCh. 1.5 - Prob. 4.2LCCh. 1.5 - Prob. 4.3LCCh. 1.5 - Prob. 4.4LCCh. 1.5 - Prob. 4.5LCCh. 1 - Prob. 1FPCh. 1 - Prob. 2FPCh. 1 - Prob. 3FPCh. 1 - Prob. 4FPCh. 1 - Prob. 5FPCh. 1 - Prob. 6FPCh. 1 - Prob. 7FPCh. 1 - Prob. 8FPCh. 1 - Prob. 9FPCh. 1 - Prob. 10FPCh. 1 - Prob. 11CAPCh. 1 - Prob. 12CAPCh. 1 - Prob. 13CAPCh. 1 - Prob. 14CAPCh. 1 - Prob. 15CAPCh. 1 - Prob. 16CAPCh. 1 - Prob. 17CAPCh. 1 - Prob. 18CAPCh. 1 - Prob. 19CAPCh. 1 - Prob. 20CAPCh. 1 - Prob. 21CAPCh. 1 - Prob. 22CAPCh. 1 - Prob. 23CAPCh. 1 - Prob. 24CAPCh. 1 - Prob. 25CAPCh. 1 - Prob. 26CAPCh. 1 - Prob. 27PRCh. 1 - Prob. 28PRCh. 1 - Prob. 29PRCh. 1 - Prob. 30PRCh. 1 - Prob. 31PRCh. 1 - Prob. 32PR
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- Theorem 2.4 (The Hölder inequality) Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then . |EXY ≤ E|XY|||X|| ||||qarrow_forwardTheorem 7.6 (Etemadi's inequality) Let X1, X2, X, be independent random variables. Then, for all x > 0, P(max |S|>3x) ≤3 max P(S| > x). Isk≤narrow_forwardTheorem 7.2 Suppose that E X = 0 for all k, that Var X = 0} x) ≤ 2P(S>x 1≤k≤n S√2), -S√2). P(max Sk>x) ≤ 2P(|S|>x- 1arrow_forward
- Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).If the chooser's declarations are Chooser 1: {s3} and Chooser 2: {s3}, which of the following is a fair division of the cake?arrow_forwardTheorem 1.4 (Chebyshev's inequality) (i) Suppose that Var X x)≤- x > 0. 2 (ii) If X1, X2,..., X, are independent with mean 0 and finite variances, then Στη Var Xe P(|Sn| > x)≤ x > 0. (iii) If, in addition, X1, X2, Xn are identically distributed, then nVar Xi P(|Sn> x) ≤ x > 0. x²arrow_forwardTheorem 2.5 (The Lyapounov inequality) For 0arrow_forward
- Theorem 1.6 (The Kolmogorov inequality) Let X1, X2, Xn be independent random variables with mean 0 and suppose that Var Xk 0, P(max Sk>x) ≤ Isk≤n Σ-Var X In particular, if X1, X2,..., X, are identically distributed, then P(max Sx) ≤ Isk≤n nVar X₁ x2arrow_forwardTheorem 3.1 (The Cauchy-Schwarz inequality) Suppose that X and Y have finite variances. Then |EXYarrow_forwardAbout 25% of people in America use a certain social media website. In a group with 20 people (assume that it is a random sample of people in America), what are the following probabilities? (Round your answers to three decimal places.) a) At least one of them uses the website. b) More than two of them use the website. c) None of them use the website. d) At least 18 of them do not use the website. please show all steps and work for probabilities. answer parts a-d.arrow_forward
- Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means is on the left below, and that of the 50 confidence intervals is on the right. 1. What does each dot on the left hand dotplot represent? StatKey Sampling Distribution for a Mean Percent with Internet Access (Countries) ▾ Show Data Table Edit Data Choose samples of size n = 20 Upload File Change Column(s) Generate 1 Sample Generate 10 Samples Generate 100 Samples Generate 1000 Samples Reset Plot Sampling Dotplot of Mean Left Tail Two-Tail Right Tail 60 50 40 40 30 20 20 10 samples = 50 mean = 41.626 std. error = 5.089 : .: : :: 0 25 30 35 40 45 50 55 60 41.626 Data Plots Confidence Intervals 95%-> Confidence Intervals Coverage 48/50 = 96% 20 40 60 80 2. Circle the confidence intervals that failed to capture the true mean. 3. Circle the sample means that produced those…arrow_forwardExample 4 (Part 1) One of the datasets in the Lock book contains information about 215 countries of the world. One of the variables is the percentage of people in the country who have access to the internet. We have data for 203 of those countries. The plot on the right shows a dotplot of the data. 1. What are the cases? Population n = 203, mean = 43.024 median = 43.5, stdev = 29.259 20 2. What does each dot on the dotplot represent? 15 10 5 20 40 43.024 60 80 3. What type of data is do we collect from the cases, quantitative or categorical?arrow_forwardLet x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information. x 63 79 70 80 84 87 y 46 49 45 55 57 58 Find Se. Round your answer to three decimal places.arrow_forward
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