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 probability that her pulse rate is between 78 beats per minute and 90 beats per minute.
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
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Additional Math Textbook Solutions
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)
- Section 2.0arrow_forwardDerive the mean and variance of the t distribution.arrow_forwardThe table shows the earnings (in thousands of dollars) of a random sample of 11 people with bachelor's degrees and 10 people with associate's degrees. At a = 0.05 is there enough evidence to support the belief that there is a difference in the earnings of people with bachelor's degrees and those with associate's degrees? Complete parts (a) through (e) below. Degree Bachelor's 32 60 Associate's 40 35 Salary (in thousands of dollars) 63 33 68 72 48 43 41 40 36 41 26 20 46 48 29 45 43 a. Write the claim mathematically and identify Ho and H₁. Ho: H₁:arrow_forward
- Answer a, b, & c.arrow_forwardThe table shows the earnings (in thousands of dollars) of a random sample of 11 people with bachelor's degrees and 10 people with associate's degrees. At a = 0.05 is there enough evidence to support the belief that there is a difference in the earnings of people with bachelor's degrees and those with associate's degrees? Complete parts (a) through (e) below. Degree Bachelor's 32 60 Associate's 40 35 41 Salary (in thousands of dollars) D 63 33 68 72 48 43 41 40 36 26 20 46 48 29 45 43 a. Write the claim mathematically and identify Ho and H₁. Ho: There is no difference in earnings. H₁: There is a difference in earnings. b. Determine the critical values(s). (Round to two decimal places as needed. Use a comma to separate answers as needed.)arrow_forwardd, earrow_forward
- R3arrow_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_forwardHow to use a power calculator to compute power for the t distribution?arrow_forward
- 7.41arrow_forward6 Joan records the temperature every day. The highest temperature she recorded was 29 °C to the nearest degree. Let X represent the error in the measured temperature. a Suggest a suitable model for the distribution of X. b Using your model, calculate the probability that the error will be less than 0.2°C. e Find the variance of the error in the measured temperature.arrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ less than 118. 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 118 is (Type an integer or decimal rounded to four 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