Question

**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
H**

**b. One-tailed test, N = 14, t = 2.05, (df=
Answer:, critical t = Answer:, Reject or Fail to Reject
H_{o}**

2. **A company decides to offer a monetary incentive for
employees who log a specified number of hours spent exercising in
an attempt to improve employee health. The average health
score (higher = better) of the 45 employees who logged enough hours
was 89. The mean health score for all employees was 85, with a
standard deviation of 6.1.**

a. Is this a directional (one-tailed) or non-directional (two-tailed) study?

b. Calculate the standard error of the mean.

c. Conduct the z-test. Show your work (use at least two decimal places throughout).

What is the z_{obt} score?

d. What is the z critical value (z_{cv})?

e. Write your conclusion in APA format. Don’t forget to include the statistical statement and whether you accept or reject the null hypothesis.

Answer #1

A company decides to offer a monetary incentive for
employees who log a specified number of hours spent exercising in
an attempt to improve employee health. The average health
score (higher = better) of the 45 employees who logged enough hours
was 89. The mean health score for all employees was 85, with a
standard deviation of 6.1.
12) Is this a directional (one-tailed) or
non-directional (two-tailed) study?
13)Calculate the standard error of the
mean.
14) Conduct the z-test. Show...

Assume the computed t-statistic was t0=1.987
Find the t-critical value for a one-tailed test at the 0.05
significance level with 19
degrees of freedom. Is there sufficient evidence to reject the
null hypothesis?
Find the t-critical value for a one-tailed test at the 0.05
significance level with a sample
size of 30. Is there sufficient evidence to reject the null
hypothesis?
Find the t-critical value for a two-tailed test at the 0.05
significance level with 15
degrees of freedom. Is...

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.

Suppose you obtain a t= 2.28 from a sample of n=15 subjects.
Using a two-tailed test with a=.01, report the critical value for t
and decide whether to reject the null hypothesis or fail to reject
the null hypothesis.

Please answer with proper calculations:
value
18
15
20
21
1. The degrees of freedom for the test are:
2. The critical value of t for the test is:
3. The calculated t statistic is
4. Based on the statistical test you can
>reject the null hypothesis.
>fail to reject the null hypothesis.
>can not determine.
>redo the test.
5. The null hypothesis would be:
>there is no difference between the two population means.
>there is a difference between the...

(a) Write the claim mathematically and identify H0 and Ha.
(b) Find the critical value(s) and identify the rejection
region(s).
(c) Find the standardized test statistic.
(d) Decide whether to reject or fail to reject the null
hypothesis.
In a sample of 1797 home buyers, you find that 785 home buyers
found their real estate agent through a friend. At α=0.06, can you
reject the claim that 43% of home buyers find their real estate
agent through a friend?
(a)...

The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...

11) The Student's t distribution table gives critical values for
the Student's t distribution. Use an appropriate d.f. as the row
header. For a right-tailed test, the column header is the value of
α found in the one-tail area row. For a left-tailed test, the
column header is the value of α found in the one-tail area row, but
you must change the sign of the critical value t to −t. For a
two-tailed test, the column header is the...

The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...

The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...

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