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20.24 Because the t procedures are robust, the most impor- tant condition for their safe use is that (a) the sample size is at least 15. (b) the population distribution is exactly Normal. (c) the data can be regarded as an SRS from the population.

20.24 Because the t procedures are robust, the most impor- tant condition for their safe use is that (a) the sample size is at least 15. (b) the population distribution is exactly Normal. (c) the data can be regarded as an SRS from the population.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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20.24
sine observations from a Normally m. What critical value would you confidence interval for the mean 100 against H: 100 based wations from a Normal popula- -t statistic are statistically sig- level? 33 20 of the United States were erage income of all U.S. -stimate was = $70,000 = actual average household tudy was about $90,000.) - study can be considered of all adult citizens of the nce interval for the mean of all U.S. households is FISES report of a psychology or our two groups of -ll placebo effect for = 0.37, t₁ = 0.49) non-student group 5, p<0.01). "15 The ffect is zero. What tistics based on the mpare each correct e C. What can you h case? In Example 16.1 nfidence interval -f American men ndom sample of the population 11.6. In fact, Exercises 459 20.22 Which of the following would cause the most worry about the validity of the confidence interval you calcu- lated in the previous exercise! (a) You notice that there is a clear outlier in the data. (b) A stemplot of the data is bell-shaped, so a z proce- dure is the appropriate procedure. (c) You do not know the population standard deviation o. 20.23 Which of these settings does not allow use of a matched pairs t procedure? (a) You interview both the instructor and one of the students in each of 20 introductory statistics classes and ask each how many hours per week homework assignments require. (b) You interview a sample of 15 instructors and another sample of 15 students and ask each how many hours per week homework assignments require. (c) You interview 40 students in the introductory statistics course at the beginning of the semester and again at the end of the semester and ask how many hours per week homework assignments require. 20.24 Because the t procedures are robust, the most impor- tant condition for their safe use is that (a) the sample size is at least 15. (b) the population distribution is exactly Normal. (c) the data can be regarded as an SRS from the population. study of student achievement in large urban school dis- tricts. TUDA gives a mathematics test scored from 0 to 500. A score of 262 is a "basic" mathematics level, and a score of 299 is "proficient." Scores for a random sam- ple of 1100 eighth-graders in Dallas had x = 264 with standard error 1.3.16 (a) We don't have the 1100 individual scores, but use of the t procedures is surely safe. Why? (b) Give a 99% confidence interval for the mean score of all Dallas eighth-graders. (Be careful: the report gives the standard error of x, not the standard deviation s.) (c) Based on your answer in (b), is there good evidence that the mean for all Dallas eighth-graders is differ- ent from the basic level? (Just as for z procedures, a level C t confidence interval for a mean μ can be
Transcribed Image Text:sine observations from a Normally m. What critical value would you confidence interval for the mean 100 against H: 100 based wations from a Normal popula- -t statistic are statistically sig- level? 33 20 of the United States were erage income of all U.S. -stimate was = $70,000 = actual average household tudy was about $90,000.) - study can be considered of all adult citizens of the nce interval for the mean of all U.S. households is FISES report of a psychology or our two groups of -ll placebo effect for = 0.37, t₁ = 0.49) non-student group 5, p<0.01). "15 The ffect is zero. What tistics based on the mpare each correct e C. What can you h case? In Example 16.1 nfidence interval -f American men ndom sample of the population 11.6. In fact, Exercises 459 20.22 Which of the following would cause the most worry about the validity of the confidence interval you calcu- lated in the previous exercise! (a) You notice that there is a clear outlier in the data. (b) A stemplot of the data is bell-shaped, so a z proce- dure is the appropriate procedure. (c) You do not know the population standard deviation o. 20.23 Which of these settings does not allow use of a matched pairs t procedure? (a) You interview both the instructor and one of the students in each of 20 introductory statistics classes and ask each how many hours per week homework assignments require. (b) You interview a sample of 15 instructors and another sample of 15 students and ask each how many hours per week homework assignments require. (c) You interview 40 students in the introductory statistics course at the beginning of the semester and again at the end of the semester and ask how many hours per week homework assignments require. 20.24 Because the t procedures are robust, the most impor- tant condition for their safe use is that (a) the sample size is at least 15. (b) the population distribution is exactly Normal. (c) the data can be regarded as an SRS from the population. study of student achievement in large urban school dis- tricts. TUDA gives a mathematics test scored from 0 to 500. A score of 262 is a "basic" mathematics level, and a score of 299 is "proficient." Scores for a random sam- ple of 1100 eighth-graders in Dallas had x = 264 with standard error 1.3.16 (a) We don't have the 1100 individual scores, but use of the t procedures is surely safe. Why? (b) Give a 99% confidence interval for the mean score of all Dallas eighth-graders. (Be careful: the report gives the standard error of x, not the standard deviation s.) (c) Based on your answer in (b), is there good evidence that the mean for all Dallas eighth-graders is differ- ent from the basic level? (Just as for z procedures, a level C t confidence interval for a mean μ can be
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