Concept explainers
Using the Central Limit Theorem. In Exercises 5–8, assume that females have pulse rates that are
8. a. If 1 adult female is randomly selected, find the
b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 78 heats per minute and 90 beats per minute.
c. Why can the normal distribution be used in part (b), even though the
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Chapter 6 Solutions
Essentials of Statistics (6th Edition)
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Elementary Statistics
Statistical Reasoning for Everyday Life (5th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Introductory Statistics
Introductory Statistics (2nd Edition)
- Table 4 is the probability table for a random variable X. Find E(X), Var(X), and the standard deviation of X. Table 4 Outcome Probability 1,arrow_forwardResearch suggested that the distribution of amount of dissolved solids (D) at wastewater treatment plant is lognormal distribution with mean value 10260 kg/day/km and a coefficient of variation of 40 %. 1. What is the probability that D is at most 15050 kg/day/km? 2. What is the probability that Dexceeds the mean of the distribution? Is it 50%? Why/Why not? Note. Provide final solution for each questions below. Detailed solution to be uploaded.arrow_forwardDetermine the mode and standard deviation of the dataarrow_forward
- 13.11 Random numbers. If you ask a computer to generate “random numbers" between 0 and 5, you will get observations from a uniform distribution. Figure 13.12 shows the density curve for a uniform distribution. This curve takes the constant value 0.2 between 0 and 5 and is zero outside that range. Use this density curve to answer these questions. a. Why is the total area under the curve equal to 1? b. The curve is symmetric. What is the value of the mean and median? c. What percentage of the observations lie between 4 and 5? d. What percentage of the observations lie between 1.5 and 3? height = 0,20 Moore/Notz, Statistics: Concepts and Controversies, 10e, 0 2020 W. H. Freeman and Company Figure 13.12 The density curve of a uniform distribution, for Exercise 13.11. Observations from this distribution are spread "at random" between 0 and 5.arrow_forwardDerive the mean and variance of the t distribution.arrow_forwardDevelop a research question from the data collected that requires a chi square distribution test. Identify the variables, develop hypotheses,test relationship, and use statistics to answer the question.arrow_forward
- ri6:31. Prove that for any discrete distribution standard deviation is not less than mean deviation from mean.arrow_forwardAssume that the normal distribution of the data has a mean of 16 and a standard deviation of 2. Use the 68-95-99.7 rule to find the percentage of values that lie above 18. What percentage of value lie above 18? (Type an integer or a decimal)arrow_forwardChapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate?In each case below, is the sample size large enough so that the sample proportions follow a normal distribution? (a) n=550 and p=0.2 Yes No (b) n=20 and p=0.4 Yes No (c) n=30 and p=0.25 Yes No (d) n=100 and p=0.89 Yes Noarrow_forward
- 13.11 Random numbers. If you ask a computer to generate “random numbers" between 0 and 5, you will get observations from a uniform distribution. Figure 13.12 shows the density curve for a uniform distribution. This curve takes the constant value 0.2 between 0 and 5 and is zero outside that range. Use this density curve to answer these questions. a. Why is the total area under the curve equal to 1? b. The curve is symmetric. What is the value of the mean and median? c. What percentage of the observations lie between 4 and 5? d. What percentage of the observations lie between 1.5 and 3? height = 0,20 Moore/Notz, Statistics: Concepts and Controversies, 10e, 0 2020 W. H. Freeman and Company Figure 13.12 The density curve of a uniform distribution, for Exercise 13.11. Observations from this distribution are spread "at random" between 0 and 5.arrow_forwardStandard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers to four decimal places. Greater than −2.00arrow_forwardSection 9.2 Question #4 A study was done on proctored and nonproctored tests. 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. Proctored Nonproctored μ μ1 μ2 n 33 31 _ x 76.13 85.34 s 11.07 22.23 a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. What are the null and alternative hypotheses? A. H0: μ1 = μ2 H1: μ1 ≠ μ2 B. H0: μ1 = μ2 H1: μ1 < μ2 C. H0: μ1 ≠ μ2 H1: μ1 < μ2 D. H0: μ1 = μ2 H1: μ1 > μ2 The test statistic, t, is __________. (Round to two decimal places as needed.) The P-value is ___________. (Round to three decimal places as needed.)…arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill