20.20 You are testing Ho:μ = 100 against H₁:μ = 100 based on an SRS of nine observations from a Normal popula- tion. What values of the t statistic are statistically sig- nificant at the a = = 0.005 level? (a) t≥ 3.833 (b) t≤-3.833 or t≥ 3.833 (c) t≤-3.690 or t≥ 3.690

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
20.20
20.19
20.20
You have an SRS of nine observations from a Normally
distributed population. What critical value would you
use to obtain an 80% confidence interval for the mean
of the population?
(a) 1.397
(b) 1.383
(c) 1.372
You are testing Ho:μ = 100 against H:100 based
on an SRS of nine observations from a Normal popula-
tion. What values of the t statistic are statistically sig-
nificant at the a= 0.005 level?
(a) t≥ 3.833
(b) t≤-3.833 or t≥ 3.833
(c) t≤-3.690 or t≥ 3.690
20.21 Twenty-five adult citizens of the United States were
asked to estimate the average income of all U.S.
households. The mean estimate was x = $70,000
and s= $15,000. (Note: The actual average household
income at the time of the study was about $90,000.)
Assume the 25 adults in the study can be considered
an SRS from the population of all adult citizens of the
United States. A 95% confidence interval for the mean
estimate of the average income of all U.S. households is
(a) $67,000 to $73,000.
(b) $63,808 to $76,192.
(c) $83,808 to $96,192.
CHAPTER 20 EXERCISES
20.25 Read Carefully. You read in the report of a psychology
for
two groups of
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?
20.23
Exercises
od to
459
(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.
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
bas sample of 15 students and ask each how many hours
uber per week homework assignments require.
(c) You interview 40 students in the introductory
vidalstu 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
TESW
(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
"basic" mathematics level, and
Transcribed Image Text:20.19 20.20 You have an SRS of nine observations from a Normally distributed population. What critical value would you use to obtain an 80% confidence interval for the mean of the population? (a) 1.397 (b) 1.383 (c) 1.372 You are testing Ho:μ = 100 against H:100 based on an SRS of nine observations from a Normal popula- tion. What values of the t statistic are statistically sig- nificant at the a= 0.005 level? (a) t≥ 3.833 (b) t≤-3.833 or t≥ 3.833 (c) t≤-3.690 or t≥ 3.690 20.21 Twenty-five adult citizens of the United States were asked to estimate the average income of all U.S. households. The mean estimate was x = $70,000 and s= $15,000. (Note: The actual average household income at the time of the study was about $90,000.) Assume the 25 adults in the study can be considered an SRS from the population of all adult citizens of the United States. A 95% confidence interval for the mean estimate of the average income of all U.S. households is (a) $67,000 to $73,000. (b) $63,808 to $76,192. (c) $83,808 to $96,192. CHAPTER 20 EXERCISES 20.25 Read Carefully. You read in the report of a psychology for two groups of 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? 20.23 Exercises od to 459 (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. 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 bas sample of 15 students and ask each how many hours uber per week homework assignments require. (c) You interview 40 students in the introductory vidalstu 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 TESW (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 "basic" mathematics level, and
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