Concept explainers
Using the Central Limit Theorem. In Exercises 5–8, assume that females have pulse rates that are
5. 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 less than 80 beats per minute.
c. Why can the normal distribution be used in part (b), even though the
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
Chapter 6 Solutions
Essentials of Statistics (6th Edition)
Additional Math Textbook Solutions
Statistics for Psychology
Basic Business Statistics, Student Value Edition (13th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
- Using Technology to Generate Normal Quantile Plots. In Exercises 13–16, use the data from the indicated exercise in this section. Use software (such as Statdisk, Minitab, Excel, or StatCrunch) or a TI-83/84 Plus calculator to generate a normal quantile plot. Then determine whether the data come from a normally distributed population. Exercise 10 “Ages of Best Actresses”arrow_forwardHeart rate during laughter. Laughter is often called “the best medicine,” since studies have shown that laughter can reduce muscle tension and increase oxygenation of the blood. In the International Journal of Obesity (Jan. 2007), researchers at Vanderbilt University investigated the physiological changes that accompany laughter. Ninety subjects (18–34 years old) watched film clips designed to evoke laughter. During the laughing period, the researchers measured the heart rate (beats per minute) of each subject, with the following summary results: Mean = 73.5, Standard Deviation = 6. n=90 (we can treat this as a large sample and use z) It is well known that the mean resting heart rate of adults is 71 beats per minute. Based on the research on laughter and heart rate, we would expect subjects to have a higher heart beat rate while laughing.Construct 95% Confidence interval using z value. What is the lower bound of CI? a) Calculate the value of the test statistic.(z*) b) If…arrow_forwardA recent random sample of 7 college graduates who found a job reported their GPA and entry level salary ( nearest thousand dollars). GPA: 2.9,3.81,3.2,2.42,3.94,2.05,2.25 Salary:48,53,50,37,65,32,37 For a unit increase in GPA, how much more in Salary is predicted?arrow_forward
- Chapter 6, Section 2-D, Exercise 071 Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find the area in a t-distribution above 2.3 if the sample has size n=6.Round your answer to three decimal places.area = Enter your answer in accordance to the question statementarrow_forwardASSESSMENT: A. Classify the random variables as discrete or continuous. 1. number of defective computers produced by a manufacturer 2. weight of newborns each year in a hospital 3. amount of paint utilized in a building project 4. average amount of electricity consumed per household per month 5. number of deaths per year attributed to lung cancerarrow_forward3.2.7 The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. EA Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) Business Graduates Business degrees Nonbusiness degrees 622,758 869,681 Total 821,543 1,041,387 1,862,930 Male 198,785 Female 171,706 370,491 1,492,439 Total Print Donearrow_forward
- Constructing Normal Quantile Plots. In Exercises 17–20, use the given data values to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. Female Arm Circumferences A sample of arm circumferences (cm) of females from Data Set 1 “Body Data” in Appendix B: 40.7, 44.3, 34.2, 32.5, 38.5.arrow_forwardexercise 6.1arrow_forwardpart darrow_forward
- Derive the mean and variance of the t distribution.arrow_forwardSection 9.4 3.) The probability that a part produced by a certain factory's assembly line will be defective is 0.025. Suppose a sample of 130 parts is taken. Find the following probabilities by using the normal curve approximation to the binomial distribution. Use the table of areas under the standard normal curve given below Click here to view page 1. Click here to view page 2. Click here to view page 3 Click here to view page 4 Click page to view page 5 Click here to view page 6. The probability that exactly 6 parts will be defective is_____. (Round to four decimal places as needed)arrow_forwardPlease answerarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage