A paired difference experiment yielded pairs of observations.
What is the rejection region for testing H_0:μ_d=2...
A paired difference experiment yielded pairs of observations.
What is the rejection region for testing H_0:μ_d=2 vs H_a:μ_d>2
for the following case n_d=10,α=0.05.
(A) t >1.833 (B) t <-1.833 (C) t >1.328 (D) t
>2.776
The decision rule (aka, the rejection region) for testing the
following pair of hypotheses at the .01 level of significance when
a sample size of 45 is taken.
H0: p = .45
Ha: p ≠ .45
P (p̂ < 0.35) where p̂ is approximately normally distributed
with p = .33 and n = 100.
c. Determine the p-value for testing:
H0: µ = 43
Ha: µ ≠ 43
when a random sample of size 30 was
taken from a normal...
The decision rule (aka, the rejection region) for testing the
following pair of hypotheses at the .01 level of significance when
a sample size of 45 is taken.
H0: p = .45
Ha: p ≠ .45
P (p̂ < 0.35) where p̂ is approximately normally distributed
with p = .33 and n = 100.
Determine the p-value for testing:
H0: µ = 43
Ha: µ ≠ 43
when a random sample of size 30 was
taken from a normal population...
What is the rejection rule using the p-value approach to
Hypothesis Testing?
What is the rejection rule using the critical value approach to
Hypothesis Testing?
What is the major advantage to constructing a paired difference
experiment when comparing two population means?
a) The paired difference experiment accounts for dependence
between data pairs.
b) The paired difference experiment benefits from the fact that
selecting samples independently is always optimal
c) The test statistic is easier to calculate
d)The paired difference experiment guarantees a strong linear
correlation
What is a rejection region? What is a confidence level? What is
a confidence interval? Discuss how the three concepts are related
to each other. Provide original examples throughout your
discussion
What is a rejection region? What is a confidence
level? What is a confidence interval?Discuss how the three concepts
are related to each other. Provide an example in discussion.
(9pts)
A paired difference experiment produced the following data: nD =
18 x ̅1 = 92 x ̅2 = 95.5 x ̅D = -3.5 sD2 = 21 Determine the values
of t for which the null hypothesis, µ1 - µ2 = 0, would be rejected
in favor of the alternative hypotheses, µ1 - µ2 < 0. Use α =
.10. Conduct the paired difference test described in part a. Draw
the appropriate conclusions. What assumptions are necessary so that
the paired...
Question 2
Part a)
Calculate the statistic, set up the rejection region,
interpret the result, and draw the sampling distribution.
i)
ii)
Part b)
H0: H1:
Given that: σ=10, n=100,
H0: H1:
Given that: σ=15, n=100,
μ=10 μ≠10
X =10, α=0.05. μ=50
μ<50
X =48, α=0.05.
A statistics practitioner is in the process of testing to
determine whether is enough evidence to infer that the population
mean is different from 180. She calculated the
mean and standard deviation of a...
Is the difference between the mean annual salaries of
statisticians in Region 1 and Region 2 more than $8000? To decide,
you select a random sample of statisticians from each region. The
results of each survey are shown to the right. At α=0.10, what
should you conclude? Answer A-E
Region 1
x1 = $68,300
standard deviation = $8,750
n1 = 47
Region 2
x2 = $63,000
standard deviation = $9,275
n2 = 40
A. What are the alternative and null...
1) state your hypotheses; 2) draw a graph showing the
critical z-scores and the rejection region; 3) calculate
z-obtained; 4) make a conclusion.
Does regular exercise improve cognitive skills? A sample of 67
3rd grade students was randomly assigned into 2 groups. One group
(N=32) participated in an afterschool fitness program 3 days a
week. Another group (N = 35) attended a regular afterschool care
program. After 3 months, the mean cognitive test score in the first
group was 138...