Question

Consider the following hypotheses: H0: μ ≤ 12.6 HA: μ > 12.6

A sample of 25 observations yields a sample mean of 13.4. Assume that the sample is drawn from a normal population with a population standard deviation of 3.2. (You may find it useful to reference the appropriate table: z table or t table)

a-1. Find the p-value. p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10

a-2. What is the conclusion if α = 0.10? Reject H0 since the p-value is greater than α. Reject H0 since the p-value is smaller than α. Do not reject H0 since the p-value is greater than α. Do not reject H0 since the p-value is smaller than α.

a-3. Interpret the results at α = 0.10. We conclude that the sample mean is greater than 12.6. We cannot conclude that the sample mean is greater than 12.6. We conclude that the population mean is greater than 12.6. We cannot conclude that the population mean is greater than 12.6. b-1. Calculate the p-value if the above sample mean was based on a sample of 100 observations. p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10

Answer #1

Consider the following hypotheses:
H0: μ ≤ 12.6
HA: μ > 12.6
A sample of 25 observations yields a sample mean of 13.4. Assume
that the sample is drawn from a normal population with a population
standard deviation of 3.2. (You may find it useful to
reference the appropriate table: z table
or t table)
a-1. Find the p-value.
p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥...

Consider the following hypotheses: H0: μ ≤ 76.7 HA: μ > 76.7
A sample of 41 observations yields a sample mean of 78.0. Assume
that the sample is drawn from a normal population with a population
standard deviation of 4.4. (You may find it useful to reference the
appropriate table: z table or t table) a-1. Find the p-value. 0.05
p-value < 0.10 p-value 0.10 p-value < 0.01 0.01 p-value <
0.025 0.025 p-value < 0.05 a-2. What is the...

Consider the following hypotheses:
H0: μ ≤ 30.4
HA: μ > 30.4
A sample of 55 observations yields a sample mean of 31.9. Assume
that the sample is drawn from a normal population with a population
standard deviation of 5.2. (You may find it useful to
reference the appropriate table: z table
or t table)
a-1. Find the p-value.
0.025 p-value < 0.05
0.05 p-value < 0.10
p-value 0.10
p-value < 0.01
0.01 p-value < 0.025
a-2. What is...

Exercise 9-13 Algo
Consider the following hypotheses:
H0: μ ≤ 73.0
HA: μ > 73.0
A sample of 51 observations yields a sample mean of 74.3. Assume
that the sample is drawn from a normal population with a population
standard deviation of 3.7. (You may find it useful to
reference the appropriate table: z table
or t table)
a-1. Find the p-value.
0.01 p-value < 0.025
0.025 p-value < 0.05
0.05 p-value < 0.10
p-value 0.10
p-value < 0.01...

Consider the following hypotheses:
H0: μ = 23
HA: μ ≠ 23
The population is normally distributed. A sample produces the
following observations: (You may find it useful to
reference the appropriate table: z table
or t table)
26
25
23
27
27
21
24
a. Find the mean and the standard deviation.
(Round your answers to 2 decimal
places.)
Mean
Standard Deviation
b. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal...

9-12 Consider the following hypotheses:
H0: μ = 33
HA: μ ≠ 33
The population is normally distributed. A sample produces the
following observations: (You may find it useful to
reference the appropriate table: z table
or t table)
38
31
34
36
33
38
28
a. Find the mean and the standard deviation.
(Round your answers to 2 decimal
places.)
b. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final...

Consider the following hypotheses: H0: μ ≥ 208 HA: μ < 208 A
sample of 80 observations results in a sample mean of 200. The
population standard deviation is known to be 30. (You may find it
useful to reference the appropriate table: z table or t table) a-1.
Calculate the value of the test statistic. (Negative value should
be indicated by a minus sign. Round intermediate calculations to at
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Exercise 9-40 Algo
Consider the following hypotheses:
H0: μ ≥ 160
HA: μ < 160
The population is normally distributed. A sample produces the
following observations:
160
142
152
159
158
140
Conduct the test at the 5% level of significance. (You
may find it useful to reference the appropriate table: z
table or t table)
a. Calculate the value of the test statistic.
(Negative value should be indicated by a minus sign. Round
intermediate calculations to at least 4...

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population is normally distributed with a population standard
deviation of 78. (You may find it useful to reference the
appropriate table: z table or t table) a-1. Calculate the value of
the test statistic with x− = 464 and n = 45. (Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.) a-2. What is the conclusion at the 10%
significance...

1. Consider the following hypotheses:
H0: μ = 420
HA: μ ≠ 420
The population is normally distributed with a population standard
deviation of 72.
a-1. Calculate the value of the test statistic
with x−x− = 430 and n = 90. (Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.)
a-2. What is the conclusion at the 1% significance
level?
Reject H0 since the p-value is less
than the significance level....

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