Question

- For each question state
- whether we have
**one sample or two samples**andwe have two samples identify whether they are independent or matched pairs**if** - define the
**parameter(s) of interes**t - state
**the null and alternative hypothesis**using statistical notations such as*µ*for one population mean,*µ*_{1}and*µ*_{2}for two independent population means,*µ*for the mean of difference within pair._{D}- The administrator at your local hospital states that on weekends the average wait time for emergency room visits is 10 minutes on average. Based on discussions you have had with friends who have complained about how long they waited to be seen in the emergency room over a weekend, you decided to test whether the average wait time is greater than the administrator’s claim. You randomly surveyed 30 people who visited the emergency room recently and found the sample mean waiting of 13 minutes and a sample standard deviation of 5 minutes.
- In a data analysis study conducted by personnel at the Statistics Consulting Center at Virginia Tech, two different materials, alloy A and alloy B were compared in terms of breaking strength. Alloy A is more expensive, but it should certainly be adopted if it can be shown to be stronger than alloy B. To test whether alloy A is indeed stronger than alloy B on average, random samples of beams made from each alloy were selected, and strength was measured in units of 0.001-inch deflection as a fixed force was applied at both ends of the beam. Twenty specimens were used for each of the two alloys.
- Forty-four sixth graders were randomly selected from a school district. Then, they were divided into 22 matched pairs, each pair having equal IQ’s. One member of each pair was randomly selected to receive special training. Then all of the students were given an IQ test. The researcher wants to test if special training has any effect.

- whether we have

Answer #1

For each scenario listed below, determine whether the scenario
represents an Independent Samples or Dependent Samples (Matched
Pairs) situation by placing the appropriate letter in the box
provided.
1. Comparing the daily high temperatures in Los Angeles and San
Diego for each day of the summer:
a. Matched Pairs
b. Independent Samples
2. Comparing the number of times 50 students in California and
50 Students in Texas ate out in restaurants last year:
a. Matched Pairs
b. Independent Samples
3....

For each scenario listed on the left, determine whether the
scenario represents an Indepenent Samples or Matched pairs
situation by placing the appropriate letter in the box
provided.
Comparing pain levels of a group receiving a placebo to a group
receiving a medicine
Comparing pain levels before and after treatment with magnetic
therapy
Comparing the number of speeding tickets received by men to the
number received by women
Comparing pre-test scores before training to post-test scores
Independent Samples Matched Pairs...

The accompanying table shows two samples that were collected as
matched pairs. Complete parts (a) through (d) below.
Pair:
1 7 5
2 5 2
3 8 7
4 4 5
5 5 1
6 9 9
a. State the null and alternative hypotheses to test if the
populatio represented by Sample 1 has a higher mean than the
population represented by Sample 2. Let ud be the population mean
of matched-pair differences for Sample 1 minus Sample 2. Choose...

Assume that two dependent samples have been randomly selected
from normally distributed populations. A coach uses a new technique
to train gymnasts. 7 gymnasts were randomly selected and their
competition scores were recorded before and after the training.
Subject
A
B
C
D
E
F
G
Before
9.4
9.7
9.6
9.5
9.7
9.6
9.7
After
9.5
9.9
9.6
9.4
9.8
9.9
9.5
a. Using a 0.05 significance level, test the claim that the
training technique is effective in raising the...

For each of the following samples that were given an
experimental treatment, test whether the samples represent
populations that are different from the general population: (a) a
sample of 11 with a mean of 46, (b) a sample of 1 with a mean of
53. The general population of individuals has a mean of 43, a
standard deviation of 7, and follows a normal curve. For each
sample, carry out a Z test using the five steps of hypothesis
testing...

Samples of 100 8-hour shifts were randomly selected from the
police records for each of two districts in a large city. The
number of police emergency calls was recorded for each shift. The
sample statistics are listed below.
Region
1
2
Sample Size
100
100
Sample Mean
2.6
3.4
Sample Variance
1.24
2.54
Find a 90% confidence interval for the difference in the mean
numbers of police emergency calls per shift between the two
districts of the city. (Use μ1...

QUESTION 1
The samples are necessarily considered a dependent when
a.
repeated measures are made on the same subjects
b.
both groups consist of males
c.
both groups consist of 8th grade pupils
d.
any of the above is true
QUESTION 2
Observations are dependent when
a.
the same subjects have been used for both sets of
observations
b.
subjects have been matched on some variable related to the
varialbe observed
c.
either of the above is true
d.
the...

State whether each of the following related samples
t-tests is significant for a two-tailed test at a 0.05
level of significance.
(a)
t(30) = 3.330
Yes, the test is significant.
No, the test is not
significant.
(b)
t(15) = 2.541
Yes, the test is significant.
No, the test is not
significant.
(c)
t(14) = 2.032
Yes, the test is significant.
No, the test is not
significant.
(d)
t(60) = 1.951
Yes, the test is significant.
No, the test is not...

State whether each of the following related samples
t-tests is significant for a two-tailed test at a 0.05
level of significance.
(a)
t(30) = 3.360
Yes, the test is significant.No, the test is not
significant.
(b)
t(13) = 2.355
Yes, the test is significant.No, the test is not
significant.
(c)
t(14) = 2.045
Yes, the test is significant.No, the test is not
significant.
(d)
t(60) = 1.962
Yes, the test is significant.No, the test is not
significant.

Test the indicated claim about the means of two populations.
Assume that the two samples are independent simple random samples
selected from normally distributed populations. Do not assume that
the population standard deviations are equal. Use the traditional
method. 1) A researcher was interested in comparing the response
times of two different cab companies. Companies A and B were each
called at 50 randomly selected times. The calls to company A were
made independently of the calls to company B....

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