Question

Which of the following is true about the one sample z-test and one sample t-test:

for a t-test, the population mean and standard deviation are needed.

The z and t-tests are identical in terms of the amount of information needed.

for a t-test only the sample mean is needed.

for a z-test the population mean and standard deviation are needed.

The z and t-tests are identical except for the size of the sample used.

Answer #1

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....

After beginning the process of conducting a one-sample
t-test and pulling up the "One-Sample T Test" box using
SPSS, which value would go in the "Test Value"
box?
A.
The sample standard deviation
B.
The sample size
C.
The population standard deviation
D.
The sample mean
E.
The mean from the null hypothesis

All of the following statements are true about paired-sample t
tests EXCEPT ______. They compare the calculated t scores from a
sample to a t distribution They can be used when the population
variance is unknown They can be used when the sample means are
unknown. They involve hypothesis-testing procedures.

For which of the following is a t-test appropriate for
performing a hypothesis test?
- A convenient sample of 23 individuals is taken from the
residents of a city with approximately normally distributed commute
times. The sample mean is 19 minutes and the sample standard
deviation is 2 minutes.
- A population is used to obtain a sample mean of 53 and a
sample standard deviation of 7 based on a convenient sample of size
19.
- A sample mean...

With respect to the z test (statistic) and the t test
(statistic), each of the following are true, except:
1. When using either the z test or the t test, the sampling
distribution should be positively skewed.
2. The z test is appropriate when the parameters of the
population are known.
3. The t test is appropriate when the parameters of the
population are unknown.
4. When using the z test or the t test depends of if μ and...

Determine whether the
z
-test or the
t
-test should be performed, or whether a statistician should be
consulted.
Part 1 of 3
A simple random sample of size
23
has mean
x
=
41.8
. The population standard deviation is σ
=
3.72
. The population is normally distributed. Can you conclude that
the population mean differs from
40
?
The population standard deviation
▼(Choose one) known. The sample size
n
▼(Choose one) greater than
30
. The population...

discuss the differences between a one-sample z-test, one-sample
t-test, the independent samples t-test and the dependent samples
t-test. Specifically, under what circumstances would you conduct
each test and what type of information comes from a known/defined
population versus your sample data?

Suppose a one sample t-test has a sample mean of 43.61, a sample
standard deviation of 4.80, a sample of size 65, and a critical t*
of 1.998. The upper endpoint (to one decimal point) of the
confidence interval for the mean is 44.8.
True or FALSE

A sample mean, sample standard deviation, and sample size are
given. Use the one-mean t-test to perform the required hypothesis
test about the mean, μ, of the population from which the sample was
drawn. Use the critical-value approach. Show all work carefully on
paper, include a graph, and fill in the blanks below.
x-bar = 21, s = 7.4, n = 11, H0: μ = 18.7, Ha: μ ≠ 18.7, α =
0.05

A sample mean, sample size, and population standard deviation
are provided below. Use the one-mean z-test to perform the required
hypothesis test at the 5% significance level.
x̄ = 27, n = 12, σ = 5
Ha : μ> 23

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