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Consider the following statements. (i) The samples must be independent. (ii) The population variances must be...
Consider the following statements.
Determine if each of the following is an assumption of analysis of variance (1) or is not an assumption of analysis of variance (2)? |
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Consider the following data from two independent samples with equal population variances. Construct a 98% confidence...
Consider the following data from two independent samples with
equal population variances. Construct a 98% confidence interval to
estimate the difference in population means. Assume the population
variances are equal and that the populations are normally
distributed.
x1=37.9 x2=32.9
s1=8.7 s2=9.2
n1=15 n2=16
Click here to see the t-distribution table page 1, Click here to
see the t-distribution table, page 2
The 98% confidence interval is what two numbers. (Round to
two decimal places as needed.)
Consider the following statements. When estimating a confidence interval for the difference between the means of...
Consider the following statements. When estimating a confidence
interval for the difference between the means of two independent
populations.
(i) The variances in both populations of variable X are assumed to
be zero.
(ii) Samples should be independently and randomly selected from
the populations.
(iii) Both samples have the same variance.
A.
Only (ii) is true.
B.
Only (i) is true.
C.
Both (i) and (iii) are true.
D.
Both (ii) and (iii) are true.
Consider the following statements. When estimating a confidence interval for the difference between the means of...
Consider the following statements. When estimating a confidence
interval for the difference between the means of two independent
populations.
(i) The variances in both populations of variable X are assumed to
be zero.
(ii) Samples should be independently and randomly selected from
the populations.
(iii) Both samples have the same variance.
A.
Only (i) is true.
B.
Only (ii) is true.
C.
Both (ii) and (iii) are true.
D.
Both (i) and (iii) are true.
Consider the following statements. When estimating a confidence interval for the difference between the means of...
Consider the following statements. When estimating a confidence
interval for the difference between the means of two independent
populations. (i) The variances in both populations of variable X
are assumed to be zero. (ii) Samples should be independently and
randomly selected from the populations. (iii) Both samples have the
same variance. A. Only (ii) is true. B. Only (i) is true. C. Both
(ii) and (iii) are true. D. Both (i) and (iii) are true.
Consider the following data from two independent samples with equal population variances. Construct a 90% confidence...
Consider the following data from two independent samples with
equal population variances. Construct a 90% confidence interval to
estimate the difference in population means. Assume the population
variances are equal and that the populations are normally
distributed.
x1 = 37.1
x2 = 32.2
s1 = 8.9
s2 = 9.1
n1 = 15
n2 = 16
26. Consider the following statements. (i). If we are testing for the difference between two population...
26. Consider the following statements.
(i). If we are testing for the difference between two population
means, it is assumed that the sample observations from one
population are independent of the sample observations from the
other population.
(ii). If we are testing for the difference between two
population means, it is assumed that the two populations are
approximately normal and have equal variances.
(iii). The critical value of t for a two-tail test of the
difference of two means, a...
consider the following results frmo two independent random samples taken from two populations. assume that the...
consider the following results frmo two independent random
samples taken from two populations. assume that the variances are
NOT equal.
Population 1
population 2
sample size
50
50
sample mean
35
30
sample variance
784
100
a) what is the "degrees of freedom" for these data?
b) what is the 95% confidence interval difference of the
population means?
Which of the following is not an assumption underlying the independent-measures t formula for hypothesis testing?...
Which of the following is not an assumption underlying the
independent-measures t formula for hypothesis testing?
The observations within each sample must be independent.
The two populations from which the samples are selected must be
normal.
The two samples must have equal sample sizes.
The two populations from which the samples are selected must
have equal variances.
Which of the following statements about random sampling is correct: (i) Each element of the population...
Which of the following statements about random sampling is
correct:
(i) Each element of the population has an equal probability of
being
included in the sample.
(ii) It is impossible to collect 'bad' samples, that is samples
which are
unrepresentative of the population.
(iii) The population is divided into 'clusters' and one or more
of these
clusters are then randomly chosen.
Consider the following hypothesis statement using alphaαequals=0.10 and data from two independent samples. Assume the population...
Consider the following hypothesis statement using
alphaαequals=0.10 and data from two independent samples. Assume the
population variances are equal and the populations are normally
distributed. Complete parts below.
H0: μ1−μ2 = 0 x overbar 1 = 14.8 x overbar 2 = 13.0
H1: μ1−μ2 ≠ 0 s1= 2.8 s2 = 3.2
n1 = 21 n2 = 15
a.) what is the test statistic?
b.) the critical values are
c.) what is the p value?
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