Question

3. Find the T value for a sample of 25 individuals who have a sample mean of x̅ = 34, sample standard deviation of Sx = 4 relative to a population with a mean of μ = 38. Is this sample significantly different (using a 2 tailed test with alpha set at .05) from the sample with a mean of μ = 38?

Answer #1

The test statistic is

At
= 0.05, the critical values are +/- t_{0.025,24} = +/-
2.064

Since the test statistic value is less than the lower critical value (-5 < -2.064), so we should reject the null hypothesis.

27. A. In a certain sample of workers, the correlation between
years of education and income earned is .60. The sample standard
deviation in years of education is Sx = 2.1 years and
the sample standard deviation in income is Sy = 23,000
dollars. The average income is 45000 dollars and the average years
of education is 4. What is the regression equation for predicting
income from education?
. BFind the T value for a sample of 25
individuals who...

A
random sample is selected from a normal population with a mean of μ
= 20 and a standard deviation of σ =5 10. After a treatment is
administered to the individuals in the sample, the sample mean is
found to be M = 25. If the sample consists of n = 25 scores, is the
sample mean sufficient to conclude that the treatment has a
significant effect? Use a two-tailed test with alpha =
.05.

A sample of n = 16 individuals is randomly selected
from a population with a mean of μ = 65, and a treatment
is administered to the individuals in the sample. After treatment,
the sample mean is found to be M = 73.
(a) If the sample standard deviation is s = 11, are the
data sufficient to conclude that the treatment has a significant
effect using a two-tailed test with α = 0.05? (Round your
answers to three decimal...

A sample of 37 observations is selected from a normal
population. The sample mean is 25, and the population standard
deviation is 5. Conduct the following test of hypothesis using the
.05 significance level. H0 : μ ≤ 24 H1 : μ > 24 (a) Is this a
one- or two-tailed test? "One-tailed"-the alternate hypothesis is
greater than direction. "Two-tailed"-the alternate hypothesis is
different from direction. (b) What is the decision rule? (Round
your answer to 2 decimal places.) H0,when...

A random sample is selected from a normal popula-tion with a
mean of μ = 40 and a standard deviation of σ = 10. After a
treatment is administered to the individuals in the sample, the
sample mean is found to be M = 46.
How large a sample is necessary for this sample mean to be
statistically significant? Assume a two-tailed test with alpha =
.05.

20. If a diagnostic blood test for HIV, if you divided all the
individuals who actually have HIV by the total number of
individuals in the sample, you would be calculating the
__________________________________________________
21. If population I had P1 = 0.50 and population II had P2 =
0.30 and n1 = 60 & n2=30), then the sampling distribution for
the difference between two sample proportions would have a mean
equal to __________ and a variance equal to ______________ (what
values?)?...

A sample mean, sample standard deviation, and sample size are
given. Use the one-mean t-test to perform the required hypothesis
test about the mean, μ, of the population from which the sample was
drawn. Use the critical-value approach.
, , n = 11, H0: μ = 18.7, Ha: μ ≠ 18.7, α =
0.05
Group of answer choices
Test statistic: t = 1.03. Critical values: t = ±2.201. Do not
reject H0. There is not sufficient evidence to conclude
that...

A sample of 46 observations is selected from a normal
population. The sample mean is 39, and the population standard
deviation is 9.
Conduct the following test of hypothesis using the 0.10
significance level.
H0 : μ ≤ 38
H1 : μ > 38
a. Is this a one- or two-tailed test?
(Click to select) (One-tailed test / Two-tailed test)
b. What is the decision rule? (Round
the final answer to 3 decimal places.)
(Click to select) (Reject /
Accept) H0...

Explain the general concept of a t value, and how it is
different from a mean and the standard error.
Imagine you obtained a t-value with an associated p-value of
.25. Explain what this means.
Imagine the critical t value for a particular test was 2.6. What
does the critical t-value mean (assuming alpha = 0.05 and the test
is two-tailed)
Explain the differences between a one-sample and paired-sample
t-test

3. Suppose the population mean is hypothesized to be 368 with a
population standard deviation of 13. Sample data is obtained to
test this hypothesis (n=36, the sample mean is 373).
a) Set up the two-tailed hypothesis test.
b) Test the hypothesis using the .01 level of significance. Also
test at the .05 level of significance.
c) Interpret the results.

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