Question

We have a left tail one sample test for the population mean. Assume the null hypothesis is true. Use 4% for the significance level. The sample size is 27, the sample mean is 32.8, the sample standard deviation is 4.1, and the null mean is 35.

The test result is (a) a correct decision (b) a Type I error (c) a Type II error 3.

The test statistic value for the previous problem is

Answer #1

1. A null hypothesis states that there is
A. No significant difference between a population parameter and
sample statistic.
B. A significant difference between a population parameter and
sample statistic.
C. The difference between the population parameter and sample
statistic is significant and can be attributed to sampling
error.
D. The difference between the population parameter and sample
statistic is insignificant and cannot be attributed to sampling
error.
E. None of the above
2. An alternative hypothesis states that there...

We have a one sample test for the population mean. The
significance level is a fixed value. Suppose we increase the sample
size. Assume the true mean equals the null mean.
(a) The t critical value moves closer to zero.
(b) The size of the rejection region decreases
(c) The probability of a Type I error decreases
(d) The probability of a Type I error increases

1. You have a two-tailed test. The t critical value is 2.36 and
the test statistic is 3.11. Assume the null hypothesis is true. The
result is (a) Type I error (b) Type II error (c) Correct
decision
2. You have a right-tailed test. The t critical value is 1.74
and the test statistic is 1.46. Assume the null hypothesis is true.
The result is (a)Type I error (b) Type II error (c) Correct
decision
3. You have a right-tailed...

A hypothesis test is completed and we have sufficient evidence
that a certain population mean is more than 200. Suppose that in
reality, the population mean is 200. Determine if a correct
decision has been made. If an error has been made, indicate which
type of error it is.
The decision was incorrect; a Type II error has been
committed.
The decision is incorrect; a Type I error has been
committed.
Correct decision has been made.
The decision was incorrect;...

State the null and alternate hypothesis.
Will you use a left tail, right tail or 2 tailed test?
Identify the sampling distribution to be used: standard normal,
Studentâ€™s t or chi squared.
Find the value of the test statistic.
Find the P-Valu
Based on your answers, shall we reject or accept the null
hypothesis?
Write the conclusion in the context of the problem.
Flying time on an old route between 2 cities has a mean
value of =5.25 hours with...

It is known that the status quo of the population mean is 88. A
sample of size 50 is taken and the sample mean is computed as 85.
You decided to reject the null hypothesis that the population mean
is at least 88 and to be in favor of the alternative hypothesis
that the population mean is less than 88.
Select one:
A. We may commit a Type II error if the null hypothesis
is false.
B. We may commit...

1. The P-value of a test of the null hypothesis is
a. the probability the null hypothesis is true.
b. the probability the null hypothesis is false.
c. the probability, assuming the null hypothesis is false, that
the test statistic will take a value at least as extreme as that
actually observed.
d. the probability, assuming the null hypothesis is true, that
the test statistic will take a value at least as extreme as that
actually observed.
2. The P-value...

Conduct a test of the null hypothesis that the mean height for
all students in the Census at School database is equal to 155 cm vs
the alternative that the mean Height is greater than 155 cm. Use a
significance level of 0.05.
a. State the null and alternative hypotheses.
Ho: m = 155
Ha: m > 155
b. Provide the Statcrunch output table.
Hypothesis test results:
Variable
Sample Mean
Std. Err.
DF
T-Stat
P-value
Height
159.86
1.7311103
49
2.8074468...

Indicate whether the following statement is true or false.
If we do not reject the null hypothesis, it is possible we have
made both type I and type II errors.
In an upper tail hypothesis test for the mean, the critical
value is 2.575 and the test statistic is 2.5. In this case, the
null hypothesis should not be rejected.
The calculated p-value should be divided by 2 to make the
decision for a two tail test.
The sampling error...

For a one-tail (lower) test for a single population, we do not
reject the null if the test statistic is greater than or equal to
the negative of the critical value.
True or false

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