Question

Which of the following reasons for performing a one-sample
t-test?

Answer #1

One-sample t test is performed when we have only **one particular independent
sample** and we want to test if **there is any difference
between the sample mean and the hypothesised mean from the
population**. It is mainly used when we have
**small size (sample
size <=30)**. If the sample size is large we use
the z-test. We make the following assumption during a one- sample t
test :

- Data provided is
**normally distributed**. (It forms a bell-shaped curve) - The
**observations are independent**of one another. - There is
**no presence of outliers**in the given data.

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.

PROVIDING STEPS:
(a) Suppose we are performing a one-sample t test at the 10%
level of significance where the hypotheses are H0 : µ = 0 vs H1 : µ
ƒ= 0. The number of observations is 15. What is the critical
value?
(b) Suppose we are performing a one-sample t test with H0 : µ =
0 vs H1 : µ > 0. The test statistic, 1.31, was found to be
wrongly calculated. The correct test statistic should be...

In the following studies, state whether the one-sample
t test is an appropriate test statistic to analyze data.
If not, then explain why it is not appropriate.
(a) a study testing whether night-shift workers sleep the
recommended 8 hours per day
a one-sample t-test is appropriatea OR
one-sample t-test is not appropriate because a specific
standard or criteria is not identified
(b) a study measuring differences in attitudes about morality
among people who self-identify as liberal or conservative
a one-sample...

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

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?

What is the difference between a One sample
t-test, Unpooled t-test, Pooled
t-test, Paired t-test, and Mann
Whitney U test? How do you know when to use each test?

Do people send less text messages as they get older? A.
One-Sample T-Test B. Two-Sample T-Test C. Chi-Squared Goodness
of Fit Test D. Regression E. One-Way ANOVA Test F. One-Sample
Proportion Z-Test G. Chi-Squared Test for Two-Way Tables H.
Paired T-Test

The following information is given for a one-sample t test: H0:
μ = 100; HA: μ < 100 Sample statistics: x̅= 95; s = 12.42 Value
of the test statistic: t = –1.80 (a) Determine the sample size, n.
(b) At a significance level α = 0.05, would your decision be to
reject H0 or fail to reject H0?

A) When is it appropriate to conduct a one sample
t-test?
B)What is the formula for a one sample t-test?
C)What is the main difference between the formula for a z-test
and the formula for a one sample t-test?
D)If p > α then what should you do?

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....

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