Question

when calculating the related samples t statistic, what is the
effect of an increase in the standard deviation for a sample of
difference scores, assuming n is held comstant?

a an increase in the standard error and an increase in the
value of t

b a decrease in the standard error and a decrease in the value
of

c an increase in the standard error and a decrease in the
value of t

d a decrease in the standard error and an increase in the
value of t

Answer #1

Ans : c an increase in standard error and a decrease in the value of the .

Let X represents a set of values with size n, with
**mean** m and with **standard
deviation** S. The comparison of the **observed mean
(m) of the population** to a **theoretical
value** μ. So test statistic given as ,

t=(m−μ) / (s/√n )

So clearly standard error = s/√n

As s increases standard error increases. assuming n is fixed.

And as standard error increases the value of test statistic t is decrease.

P_1
A sample of n = 15 produces a single sample t statistic of t = -
2.12. If the researcher is using a two-tailed test for hypotheses
testing, which of the following is the correct statistical
decision?
A. The researcher can reject the null hypothesis with α = .05
but not with α = .01.
B. The researcher can reject the null hypothesis with either α =
.05 or α = .01.
C. It is impossible to make a...

P_1
Which of the following is a fundamental difference between the t
statistic and a z-score?
A. The t statistic uses the sample mean in place of the
population mean.
B. The t statistic computes the standard error by dividing the
standard deviation by n - 1 instead of dividing by n.
C. The t statistic computes the standard error using a sample
variance in place of the population variance.
D. All of these are differences between t and z...

Answer the following about T-Test & T-distributions:
1. Which of the following statements related to the
t-distribution is not true?
Select one:
a. Since the population standard deviation is usually unknown,
the standard error of the sample mean is estimated using the sample
standard deviation as an estimator for the population standard
deviation. The formula is s/sqrt(n).
b. The population must be t-distributed in order to use the
t-distribution.
c. Like the Normal distribution, the t-distribution is symmetric
and unimodal....

Several factors influence the value of the independent-samples t
statistic (that is, tobs). Some factors affect the numerator and
others the denominator. For each of the following, indicate (by
circling your choice) whether the factor influences the numerator
or denominator of t and determine whether the effect would be to
increase the value of t (farther from 0) or decrease the value of t
(closer to 0). In each case, assume that all other factors remain
constant.
a. Increasing the...

In general, if the standard deviation of the difference scores
increases, then what will happen to the value of the calculated t
statistic?
a. it will get larger
b. It may increase or may decrease. There is no consistent
relationship between SD and the size of the t statistic.
c. It will stay the same; the t statistic is not affected by the
SD of the difference scores.
d. it will get smaller

Which type of error
is used to compute the confidence interval for two related samples
selected from at least one population with an unknown variance?
A) standard
error
B) estimated
standard error
C) estimated
standard error for the difference
D) estimated
standard error for the difference scores

1. Which of the following is a major difference between a
hypothesis test with a t statistic and the test with a z-score?
a.
You must know the population standard deviation for the z-score
but not for the t statistic.
b.
You use the normal distribution table to find critical values
for t but not for z.
c.
You must know the population median for the z-score but not for
the t statistic.
d.
There are no major differences between...

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.)

Complete the following steps as part of a t test. You are
calculating the data from a 2 mile race. There are six participants
in the race. The times for the race (in minutes) were 25.62, 13.09,
8.74, 17.63, 2.80, and 4.42 (15 points)
Calculate the standard deviation under
both of these conditions
Find the standard deviation for this
sample
Find the standard deviation as an
estimate of the population
Calculate the standard error for
t using symbolic notation
Calculate...

Consider a research situation involving two independent samples,
Sample A and Sample B. (Assume that you are subtracting the Mean of
Sample B from the Mean of Sample A.) Mean of Sample A = 30.45 n =
25 Mean of Sample B = 26.54 n = 27 Estimate of the standard error
of the difference of means (s _ _ ) = 2.15. Assume that you’re
working at the .05 level of significance.x1−x2
a. Formulate an appropriate null hypothesis.
b....

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