Question

Determine the number of degrees of freedom for the two-sample t test or CI in each of the following situations. (Round your answers down to the nearest whole number.)

(a) m = 10, n = 10, s1 = 5.0, s2 = 6.0

(b) m = 10, n = 21, s1 = 5.0, s2 = 6.0

(c) m = 10, n = 21, s1 = 2.0, s2 = 6.0

(d) m = 12, n = 24, s1 = 5.0, s2 = 6.0

Answer #1

Determine the number of degrees of freedom for the two-sample
t test or CI in each of the following situations. (Round
your answers down to the nearest whole number.)
(a) m = 12, n = 15,
s1 = 5.0, s2 = 6.0
(b) m = 12, n = 21,
s1 = 5.0, s2 = 6.0
(c) m = 12, n = 21,
s1 = 2.0, s2 = 6.0
(d) m = 10, n = 24,
s1 = 5.0, s2 = 6.0

3a (1 pt). Calculate degrees of freedom and identify the
critical t value for a a single-sample t test for a one-tailed
test, an N of 19, and an alpha of 0.05.
3b. (1pt). Calculate the 80% confidence interval for the
a single-sample t test given the following information: M=60, M=50,
s=6.0, and N=12.
3c. (1 pt). Calculate the 95% confidence interval for a
paired-sample t test given the following information:
Mdifference=17, s=9.7, N=5.

An independent-samples t test is performed on the
samples below:
Sample 1: M = 24.1, s2 = 32.02,
n = 10
Sample 2: M = 19.4, s2 = 44.46,
n = 10
a.)Calculate the standard error for the t test
(sM1-M2). (Round to 4 decimal
places.)
b.)Calculate the degrees of freedom for the t test.
c.)Find the critical value of t with two tails and
alpha = 0.05. (Keep 3 decimal places.)
d.)Calculate the t test. (Round answer to two decimal
places.)

State the total degrees of freedom for the following
t-tests. (If you need to use ∞, enter INFINITY.)
(a)n = 21
for a one-independent sample t-test
(b)df1 = 12,
n2 = 25
for a two-independent sample t-test
(c) critical value = 1.645 for a one-tailed test,
α = 0.05
(d) critical value = 63.657 for a two-tailed test,
α = 0.01

Two sample Dependent t-test (or Paired
t-test)
You want to test your hypothesis below:
There is a difference in mean test
scores between Exam 1 and Exam 2
Provide your answers in the template below the data set.
Exam 1
Exam 2
17
19
18
20
16
22
18
24
12
10
20
25
18
20
20
22
20
21
22
23
20
20
10
10
8
12
12
14
16
12
16
20
18
22
20
24
18...

Given a variable that has a t distribution with the specified
degrees of freedom, what percentage of the time will its value fall
in the indicated region? (Round your answers to one decimal
place.)
(a) 10 df, between -1.81 and 1.81
%
(b) 10 df, between -2.23 and 2.23
%
(c) 24 df, between -2.06 and 2.06
%
(d) 24 df, between -3.47 and 3.47
%
(e) 24 df, outside the interval from -2.80 to 2.80
%
(f) 24 df,...

The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 20
n2 = 30
x1 = 22.8
x2 = 20.1
s1 = 2.6
s2 = 4.6
(a)
What is the point estimate of the difference between the two
population means? (Use
x1 − x2.
)
(b)
What is the degrees of freedom for the t distribution?
(Round your answer down to the nearest integer.)
(c)
At 95% confidence, what is the margin...

The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 20
n2 = 30
x1 = 22.5
x2 = 20.1
s1 = 2.2
s2 = 4.6
(a)
What is the point estimate of the difference between the two
population means? (Use
x1 − x2.
)
(b)
What is the degrees of freedom for the t distribution?
(Round your answer down to the nearest integer.)
(c)
At 95% confidence, what is the margin...

1. Calculate the critical degrees of freedom and
identify the critical t value for a single-sample t test in each of
the following situations, using p=.05 for all scenarios. Then,
state whether the null hypothesis would fail to be rejected or
rejected:
a. Two-tailed test, N = 14, t = 2.05, (df=
Answer:, critical t = Answer:, Reject or Fail to Reject
Ho:
Answer:
b. One-tailed test, N = 14, t = 2.05, (df=
Answer:, critical t = Answer:, Reject...

Given a variable that has a t distribution with the specified
degrees of freedom, what percentage of the time will its value fall
in the indicated region? (Round your answers to one decimal
place.)
(a) 10 df, between -2.23 and 2.23
___ %
(b) 10 df, between -3.17 and 3.17
___%
(c) 24 df, between -2.49 and 2.49
___%
(d) 24 df, between -3.47 and 3.47
___%
(e) 23 df, outside the interval from -2.81 to 2.81
___%
(f) 24...

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