Question

Which of the following statements are true concerning the mean of the differences between two dependent samples? (matched pairs)? Select all that apply. A. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 60 weights of men from Ohio and 60 weights of men from New York. B. If one has more than 5 matched pairs of sample? data, one can consider the sample to be large and there is no need to check for normality. C. If one has fifteen matched pairs of sample? data, there is a loose requirement that the fifteen differences appear to be from a normally distributed population. D. If one wants to use a confidence interval to test the claim that mu Subscript d Baseline greater than 0 with a 0.01 significance? level, the confidence interval should have a confidence level of 98?%. E. The requirement of a simple random sample is satisfied if we have independent pairs of voluntary response data.

Answer #1

**Options C and D are correct.**

**C.** If one has fifteen matched pairs of sample
data, there is a loose requirement that the fifteen differences
appear to be from a normally distributed population.

**D.** If one wants to use a confidence interval to
test the claim that mu_{d} > 0 with a 0.01 significance
level, the confidence interval should have a confidence level of
98%

Because confidence interval is two-sided and here the test is one-sided so have to twice the level of significance and then subtract from 1 to get the confidence level for the confidence interval.

a. Use the one-mean t-interval procedure with the sample mean,
sample size, sample standard deviation, and confidence level
given below to find a confidence interval for the mean of the
population from which the sample was drawn.
b. Obtain the margin of error by taking half the length of the
confidence interval. c. Obtain the margin of error by using the
formula t Subscript alpha divided by 2 Baseline times StartFraction
s Over StartRoot n EndRoot EndFraction .
x=30 n=25...

Which of the following statements is true?
The 95% confidence interval is wider than the 99% confidence
interval.
The ONLY way to reduce the width of a confidence interval is to
reduce the confidence level.
The required sample size for a population mean is ONLY
dependent on population variance.
Given population variance and sampling error, higher confidence
level results in larger sample size.

Given two dependent random samples with the following
results:Population 126484537404418Population 232363531383622Use this data to find the 90% confidence interval for the true
difference between the population means.Let d=(Population 1 entry)−(Population 2 entry). Assume that
both populations are normally distributed.Step 1 of 4: Find the mean of the paired differences, d‾. Round
your answer to one decimal place.Step 2 of 4: Find the critical value that should be used in
constructing the confidence interval. Round your answer to three
decimal places.Step...

Given two dependent random samples with the following
results:
Population 1
20
22
44
42
28
48
39
Population 2
30
30
32
45
18
43
32
Use this data to find the 99% confidence interval for the true
difference between the population means. Assume that both
populations are normally distributed.
Copy Data
Step 1 of 4 :
Find the point estimate for the population mean of the paired
differences. Let x1 be the value from Population 1 and x2...

Given two dependent random samples with the following
results:
Population 1
41
39
47
18
39
21
34
Population 2
30
37
45
22
24
31
45
Use this data to find the 80% confidence interval for the true
difference between the population means. Assume that both
populations are normally distributed.
Step 1 of 4:
Find the point estimate for the population mean of the paired
differences. Let x1 be the value from Population 1 and x2 be the
value...

Using techniques from an earlier section, we can find a
confidence interval for μd. Consider a
random sample of n matched data pairs A,
B. Let d = B − A be a random
variable representing the difference between the values in a
matched data pair. Compute the sample mean d of the
differences and the sample standard deviation
sd. If d has a normal distribution or
is mound-shaped, or if n ≥ 30, then a confidence
interval for μd...

Using techniques from an earlier section, we can find a
confidence interval for μd. Consider a random sample of n matched
data pairs A, B. Let d = B − A be a random variable representing
the difference between the values in a matched data pair. Compute
the sample mean d of the differences and the sample standard
deviation sd. If d has a normal distribution or is mound-shaped, or
if n ≥ 30, then a confidence interval for μd...

Given two dependent random samples with the following
results:
Population 1
41
33
18
34
42
39
50
Population 2
50
29
29
28
47
24
44
Use this data to find the 95% confidence interval for the true
difference between the population means. Assume that both
populations are normally distributed.
Step 1 of 4:
Find the point estimate for the population mean of the paired
differences. Let x1 be the value from Population 1 and x2 be the
value...

Given two dependent random samples with the following
results:
Population 1: 48, 18, 22, 31, 18, 26, 40
Population 2, 45, 28, 24, 19, 27, 36, 30
Use this data to find the 95% confidence interval for the true
difference between the population means. Assume that both
populations are normally distributed.
Step 1 of 4: Find the point estimate for the population mean of
the paired differences. Let x1 be the value from Population 1 and
x2 be the value...

Data on the numbers of hospital admissions resulting from motor
vehicle crashes are given below for Fridays on the 6th of a month
and Fridays on the following 13th of the same month. Assume that
the paired sample data is a simple random sample and that the
differences have a distribution that is approximately normal.
Construct a 95% confidence interval estimate of the mean of the
population of differences between hospital admissions. Use the
confidence interval to test the claim...

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