Question

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 a Type *I* error if the null hypothesis
is true.

C. We may commit a Type *II* error if the null hypothesis
is true.

D. We may commit a Type *I* error if the null hypothesis
is false.

Answer #1

A sample of size 81 is taken from a population with unknown mean
and standard deviation 4.5.
In a test of H0: μ = 5 vs. Ha: μ < 5,
if the sample mean was 4, which of the following is true?
(i) We would reject the null hypothesis at α = 0.01.
(ii) We would reject the null hypothesis at α = 0.05.
(iii) We would reject the null hypothesis at α = 0.10.
only (i)
only (iii)
both...

Question 1 : The answers listed below are characteristics of a
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for Type I error
a) upsetting status quo for falsehood
b) a 'missed opportunity'
c) reject null hypothesis with null is true
question 2: The answers listed below are characteristics of a
Type II error EXCEPT for one. Select the characteristic that is not
for Type II error
a) do not reject null hypothesis when it is...

A sample of size 12, taken from a normally distributed
population has a sample mean of 85.56 and a sample standard
deviation of 9.70. Suppose that we have adopted the null hypothesis
that the actual population mean is equal to 89, that is, H0 is that
μ = 89 and we want to test the alternative hypothesis, H1, that μ ≠
89, with level of significance α = 0.1.
a) What type of test would be appropriate in this situation?...

1. Insofar as we must generalize from a sample to a population,
the observed difference between the sample mean and the
hypothesized population mean a) can't be interpreted at face value.
b) might be due to variability or chance. c) might be real. d) is
described by all of the above
2. The advantage of a one-tailed test is that it increases the
likelihood of detecting a a) false null hypothesis. b) false null
hypothesis in the direction of concern....

A sample of size 234, taken from a normally distributed
population whose standard deviation is known to be 5.70, has a
sample mean of 75.54. Suppose that we have adopted the null
hypothesis that the actual population mean is greater than or equal
to 76, that is, H0 is that μ ≥ 76 and we want
to test the alternative hypothesis, H1, that μ
< 76, with level of significance α = 0.1.
a)
What type of test would
be...

A sample of size 194, taken from a normally distributed
population whose standard deviation is known to be 9.50, has a
sample mean of 91.34. Suppose that we have adopted the null
hypothesis that the actual population mean is greater than or equal
to 93, that is, H0 is that μ ≥ 93 and we want to test the
alternative hypothesis, H1, that μ < 93, with level of
significance α = 0.05. a) What type of test would be...

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

Consider the following hypothesis test.
H0: μ ≥ 10
Ha: μ < 10
The sample size is 125 and the population standard deviation is
assumed known with σ = 5. Use α = 0.05.
(a) If the population mean is 9, what is the probability that
the sample mean leads to the conclusion do not reject
H0? (Round your answer to four decimal
places.)
(b) What type of error would be made if the actual population
mean is 9 and we...

You may need to use the appropriate appendix table or technology
to answer this question.
Consider the following hypothesis test.
H0: μ ≥ 10
Ha: μ < 10
The sample size is 130 and the population standard deviation is
assumed known with σ = 5.Use α = 0.05.
(a) If the population mean is 9, what is the probability that
the sample mean leads to the conclusion do not reject
H0? (Round your answer to four decimal
places.)
(b) What...

An engineer is designing an experiment to test if airplane
engines are faulty and unsafe to fly. The engineer expects 0.0001%
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probability of an unsafe engine is less than or equal to 0.1% and
the alternative hypothesis is that the probability the engine is
unsafe is greater than 0.1%. We consider two types of errors in the
hypothesis testing: a Type I error and Type II error. A Type...

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