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.

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Question
20.21
20.19 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
20.20 You are testing Ho: 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
experiment: "Separate analyses for our two groups of
12 participants revealed no overall placebo effect for
our student group (mean = 0.08, SD = 0.37, t₁ = 0.49)
and a significant effect for our non-student group
(mean = 0.35, SD = 0.37, t₁ = 3.25, p < 0.01)."¹5 The
null hypothesis is that the mean effect is zero. What
are the correct values of the two t statistics based on the
means and standard deviations? Compare each correct
t-value with the critical values in Table C. What can you
say about the two-sided P-value in each case?
Which of the following we
about the validity of the co
lated in the previous exerci
(a) You notice that there is
(b) A stemplot of the dat:
dure is the appropriat
(c) You do not know the p
20.23 Which of these settings d
pairs t procedure?
(a) You interview both
students in each of
and ask each how m
assignments require
(b) You interview a sam
sample of 15 stude
per week homewo
(c) You interview 4
statistics course at
again at the end
hours per week b
20.24 Because the t proce
tant condition for r
20.22
20.26 Body Mass Index of Young Men. In Example 16.1
(page 368), we developed a 95% z confidence interval
for the mean body mass index (BMI) of American men
(a) the sample size
(b) the population
(c) the data can
population.
study of studen
tricts. TUDA g
500. A score o
a score of 299
ple of 1100 ei
standard erro
(a) We don't
of the t p
(b) Give a 9
of all Da
gives th
deviatic
(c) Based c
that th
Transcribed Image Text:20.19 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 20.20 You are testing Ho: 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 experiment: "Separate analyses for our two groups of 12 participants revealed no overall placebo effect for our student group (mean = 0.08, SD = 0.37, t₁ = 0.49) and a significant effect for our non-student group (mean = 0.35, SD = 0.37, t₁ = 3.25, p < 0.01)."¹5 The null hypothesis is that the mean effect is zero. What are the correct values of the two t statistics based on the means and standard deviations? Compare each correct t-value with the critical values in Table C. What can you say about the two-sided P-value in each case? Which of the following we about the validity of the co lated in the previous exerci (a) You notice that there is (b) A stemplot of the dat: dure is the appropriat (c) You do not know the p 20.23 Which of these settings d pairs t procedure? (a) You interview both students in each of and ask each how m assignments require (b) You interview a sam sample of 15 stude per week homewo (c) You interview 4 statistics course at again at the end hours per week b 20.24 Because the t proce tant condition for r 20.22 20.26 Body Mass Index of Young Men. In Example 16.1 (page 368), we developed a 95% z confidence interval for the mean body mass index (BMI) of American men (a) the sample size (b) the population (c) the data can population. study of studen tricts. TUDA g 500. A score o a score of 299 ple of 1100 ei standard erro (a) We don't of the t p (b) Give a 9 of all Da gives th deviatic (c) Based c that th
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