Question

Consider a sample of size 22 taken from a normal population. The
sample mean is 2.625 and the sample standard deviation is 0.13. We
test H_{o}: μ = 2.7 versus H_{1}: μ ≠ 2.7 at the α
= 0.05 level. The rejection region and our decision are

Select one:

a. t < - 1.721 & t > 1.721; REJECT Ho

b. t < - 2.080 & t > 2.080; REJECT Ho

c. t < - 1.717 & t > 1.717; DO NOT REJECT Ho

d. t < - 1.717 & t > 1.717; REJECT Ho

e. t < - 2.074 & t > 2.074; REJECT Ho

Answer #1

correct option is : b

b. t < - 2.080 & t > 2.080; REJECT Ho

### here our test is two tailed test :

hence critical value or reject region should be two sided value : - 2.080 and + 2.080

we reject Ho if t > 2.080 and t < -2.080

here t statistics < t critical value we reject Ho

conclusion ; There is sufficient evidence to conclude that population mean is differ from 2.7

A sample of size 10 is taken from the first population: Sample
mean of 101.2 and sample variance of 18.1
A sample of size 14 is taken from the second population: Sample
mean of 98.7 and sample variance of 9.7
a)In order to decide whether pooling is appropriate or not,
performing a test at α = 0.2 level of significance : Find the
rejection region.
b)In order to decide whether pooling is appropriate or not,
performing a test at α...

A sample of size 10 is taken from the first population: Sample
mean of 101.2 and sample variance of 18.1
A sample of size 14 is taken from the second population: Sample
mean of 98.7 and sample variance of 9.7
a)In order to decide whether pooling is appropriate or not,
performing a test at α = 0.2 level of significance : Find the
rejection region.
b)In order to decide whether pooling is appropriate or not,
performing a test at α...

A sample of size 10 is taken from the first population: Sample
mean of 101.2 and sample variance of 18.1
A sample of size 14 is taken from the second population: Sample
mean of 98.7 and sample variance of 9.7
1)In order to decide whether pooling is appropriate or not,
performing a test at α = 0.2 level of significance : Find the
rejection region.
2)In order to decide whether pooling is appropriate or not,
performing a test at α...

A sample of size 81 is taken from a population with unknown mean
and standard deviation 4.5.
In a test of H0: μ = 5 vs. Ha: μ < 5,
if the sample mean was 4, which of the following is true?
(i) We would reject the null hypothesis at α = 0.01.
(ii) We would reject the null hypothesis at α = 0.05.
(iii) We would reject the null hypothesis at α = 0.10.
only (i)
only (iii)
both...

Using a random sample of size 77 from a normal population with
variance of 1 but unknown mean, we wish to test the null hypothesis
that H0: μ ≥ 1 against the alternative that Ha: μ <1.
Choose a test statistic.
Identify a non-crappy rejection region such that size of the
test (α) is 5%. If π(-1,000) ≈ 0, then the rejection region is
crappy.
Find π(0).

A sample of 73 observations is selected from a normal
population. The sample mean is 43, and the population standard
deviation is 8. Conduct the following test of hypothesis using the
0.10 significance level:
H0: μ = 44
H1: μ ≠ 44
a. Is this a one- or two-tailed test?
(Click to select) One-tailed
test Two-tailed test
b. What is the decision rule?
Reject H0 and accept H1
when z does not lie in the region
from to .
c. What is the value...

Suppose a random sample of size 22 is taken from a normally
distributed population, and the sample mean and variance are
calculated to be x¯=5.29 and s2=0.5 respectively.
Use this information to test the null hypothesis
H0:μ=5 versus the alternative hypothesis HA:μ>5 .
a) What is the value of the test statistic, for testing the null
hypothesis that the population mean is equal to 5?
Round your response to at least 3 decimal places.
b) The p-value falls within which one of...

A sample of size 12, taken from a normally distributed
population has a sample mean of 85.56 and a sample standard
deviation of 9.70. Suppose that we have adopted the null hypothesis
that the actual population mean is equal to 89, that is, H0 is that
μ = 89 and we want to test the alternative hypothesis, H1, that μ ≠
89, with level of significance α = 0.1.
a) What type of test would be appropriate in this situation?...

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...

A random sample of 17 observations taken from a population that
is normally distributed produced a sample mean of 42.4 and a
standard deviation of 8. Find the range for the p-value
and the critical and observed values of t for each of the
following tests of hypotheses using, α=0.01.
Use the t distribution table to find a range for the
p-value.
Round your answers for the values of t to three decimal
places.
a. H0: μ=46 versus H1: μ<46....

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