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Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a bone density test. Those test scores are
24. Greater than −3.05
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- 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_forwardAssume that adults have IQ scores that are normally distributed with a mean of µ = 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 129. Click to view page 1 of the table. Click to view page 2 of the table. 0 The probability that a randomly selected adult has an IQ less than 129 is (Type an integer or decimal rounded to four decimal places as needed.) 29 14 8 F5 ► 11 % F6 A F7 & F8 00 = F9 * F10 √ F11 O (1,0) F12 T More PrtScr (8") + Insert Delete Rackspace PgUp Num Lock Next PgDn X Homearrow_forwardDoes the Normal Probability plot look linear and do we use the t-procedure?arrow_forward
- K Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 126. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 126 is (Type an integer or decimal rounded to four decimal places as needed.)arrow_forwardK Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=20. Find the probability that a randomly selected adult has an IQ between 89 and 121. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 89 and 121 is (Type an integer or decimal rounded to four decimal places as needed.)arrow_forwardTemperature in degrees Fahrenheit has been collected from a sample of 50 individuals. The mean is 98.5 and standard deviation is 3.2. If we convert each observation into degrees in the centigrade scale ((X°C × 9/5) + 32 = Y°F) then what would be the new mean and standard deviation of the set of temperatures?arrow_forward
- est the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.Claim: μ = 1400; α = 0.01; σ = 82Sample statistics: = 1370, n = 35arrow_forwardLet the random variable X = the number of motor vehicle accidents per student in one year. Find the mean and standard deviation of the probability distribution, and interpret the value of the mean in the context of the real-life situation. X 1 3 4 Probability 0.15 0.29 0.25 0.18 0.10 0.03 Interpretation of µzarrow_forwardLet T = the total time it takes Professor Sawyer to get to his classroom and be ready to begin class. Describe the shape, center, and variability of the probability distribution of T.arrow_forward
- What requirements are necessary for a normal probability distribe on to be a standard normal probability distribution? Choose the correct answer below. OA. The mean and standard deviation have the values of µ=0 and 1. OB. The mean and standard deviation have the values of u=0 and a=0. C. The mean and standard deviation have the values of u=1 and e=0. D. The mean and standard deviation have the values of u= 1 and e=1.arrow_forwardNext question Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation o=20. Find the probability that a randomly selected adult has an IQ between 91 and 119. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 91 and 119 is (Type an integer or decimal rounded to four decimal places as needed.) H a esc Type here 1t 1 1 ? @ 2 # W 3 $ E 101 4 % R 5 T 4- & 7 Y 00 8 ( 9 ▶ 2 O 84°F 040) 7/1/2022 5:18 PM P + { = - [ Next insert prt scarrow_forwardWhat value of x is two standard deviation to the right of the mean if X - N(10, 1)? 1 2 4 8 10 12arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt