Question

TRUE / FALSE ?

In the scope of our class, we use the t- distributions to constrict confidence intervals for

1. Difference in 2 population proportions

2. Population mean of paired differences (2 dependent samples)

3. Difference in 2 population means for independent samples

Answer #1

When we compute an independent-samples t-test, we are
looking to see if there are significant differences between the
means of two independent groups, each measured on a different level
of the independent variable.
True or False
When we compute a paired-samples t-test, we are looking
to see if there are significant differences between the means of
two independent groups, each measured on a different level of the
independent variable.
True or False
If the p-value is > than 0.05, the...

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...

True or false:
1. When constructing a confidence interval for a sample
Mean, the t distribution is appropriate whenever the sample size is
small.
2. The sampling distribution of X (X-bar) is not always
a normal distribution.
3. The reason sample variance has a divisor of n-1
rather than n is that it makes the sample standard deviation an
unbiased estimate of the population standard
deviation.
4. The error term is the difference between the actual
value of the dependent...

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...

1. TRUE OR FALSE: The t distribution is a family of
curves that vary with the degrees of freedom.
2. TRUE OR FALSE: The t distribution is a family of
curves that vary with the degrees of freedom.
3. The sample mean is an example of _________.
A. interval estimation
B. point estimation
C. confidence point
D. confidence numbers
3. How many t distributions are there?
A. 1
B. 2
C. 30
D. one for each value of df

1 - Which of the following statements is true regarding a 95%
confidence interval? Assume numerous large samples are taken from
the population.
a. In 95% of all samples, the sample proportion will fall within 2
standard deviations of the mean, which is the true proportion for
the population.
b. In 95% of all samples, the true proportion will fall within 2
standard deviations of the sample proportion.
c. If we add and subtract 2 standard deviations to/from the sample...

The t-test paired scores go like that:
t = 8.812, df = 46, p-value = 0.00000000001936
CI (95%): 3.677283 & 5.854632
The mean of the differences: 4.765957
Decide whether statements below are true and explain why:
1) Classical hypothesis testing would recognize a significant
difference here
2) Because the estimates of means are different, with 95% there is
a difference between the means in the (imaginary) population,
3)The confidence interval includes 0, so it’s possible that
there is no real...

True or False
To compare the means of three groups, we can use t-test instead
of ANOVA.

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...

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