Question

**1. For a particular scenario, we wish to test the
hypothesis H_{0} : μ = 14.9. For a sample
of size 35, the sample mean X̄ is 12.7. The population
standard deviation σ is known to be 8. Compute the value
of the test statistic z_{obs}. (Express your
answer as a decimal rounded to two decimal places.)**

**2.** **For a test of H_{0}
: μ = μ_{0} vs. H_{1} :
μ ≠ μ_{0}, assume that the test statistic
follows a t-distribution with 18 degrees of freedom. What
is the critical value of the test if a 10% significance level is
desired? (Express your answer as a positive decimal rounded to
three decimal places.)**

**3. For a test of H_{0} : μ =
μ_{0} vs. H_{1} : μ ≠
μ_{0}, the value of the test statistic z
_{obs} is -1.05. What is the p-value of the
hypothesis test? (Express your answer as a decimal rounded to three
decimal places.)**

**4.** **Which of the following is a valid
alternative hypothesis for a one-sided hypothesis test about a
population mean μ?**

A. *X̄* > 4.2

B. *μ* < 2.9

C. *μ* ≠ 5.4

D. *μ* = 3.8

5. Consider a test of *H*_{0} : *μ* =
*μ*_{0} vs. *H*_{0} : *μ* <
*μ*_{0}. Suppose this test is based on a sample of
size 8, that *σ*^{2} is known, and that the
underlying population is normal. If a 5% significance level is
desired, what would be the rejection rule for this test?

Answer #1

10. For a particular scenario, we wish to test the hypothesis
H0 : p = 0.52. For a sample of size
50, the sample proportion p̂ is 0.42. Compute the value of
the test statistic zobs. (Express your answer
as a decimal rounded to two decimal places.)
4. For a hypothesis test of
H0 : μ = 8
vs.
H0 : μ > 8,
the sample mean of the data is computed to be 8.24. The
population standard deviation is...

1) Consider a test of
H0 : μ = μ0
vs.
H0 : μ <
μ0.
Suppose this test is based on a sample of size 8, that
σ2 is known, and that the underlying population
is normal. If a 5% significance level is desired, what would be the
rejection rule for this test?
Reject H0 if zobs <
-1.645
Reject H0 if tobs <
-1.894
Reject H0 if zobs <
-1.960
Reject H0 if tobs <
-2.306
2)
Which...

1.
a) For a test of
H0 : μ = μ0
vs.
H1 : μ ≠
μ0,
the value of the test statistic z obs is
-1.46. What is the p-value of the hypothesis test?
(Express your answer as a decimal rounded to three decimal
places.)
I got 0.101
b) Which of the following is a valid alternative hypothesis for
a one-sided hypothesis test about a population mean μ?
a
μ ≠ 5.4
b
μ = 3.8
c
μ <...

Consider a test of
H0 : μ = μ0 vs. H0 : μ < μ0.
Suppose this test is based on a sample of size 8, that σ2 is
known, and that the underlying population is normal. If a 5%
significance level is desired, what would be the rejection rule for
this test?

1. A test of the null hypothesis H0:
μ = μ0 gives test statistic z
= 0.26. (Round your answers to four decimal places.
(a) What is the P-value if the alternative is
Ha: μ >
μ0?
(b)What is the P-value if the alternative is
Ha: μ <
μ0?
(c)What is the P-value if the alternative is
Ha: μ ≠
μ0?
2. A test of the null hypothesis H0:
μ = μ0 gives test statistic z
= −1.65.
(a) What...

Suppose that we are testing H0: μ = μ0 versus H1: μ < μ0 with
sample size of n = 25. Calculate bounds on the P -value for the
following observed values of the test statistic (use however many
decimal places presented in the look-up table. Answers are
exact):
(h) upper bound upon t0 = -1.3.
THE ANSWER IS NOT 0.15 OR 0.05

A test of the null hypothesis
H0: μ = μ0
gives test statistic
z = −1.24.
(Round your answers to four decimal places.)
(a) What is the P-value if the alternative is
Ha: μ >
μ0?
(b) What is the P-value if the alternative is
Ha: μ <
μ0?
(c) What is the P-value if the alternative is
Ha: μ ≠
μ0?

A test of the null hypothesis H0: μ = μ0 gives test statistic z
= −1.46. (Round your answers to four decimal places.)
(a) What is the P-value if the alternative is Ha: μ > μ0?
(b) What is the P-value if the alternative is Ha: μ < μ0?
(c) What is the P-value if the alternative is Ha: μ ≠ μ0?

Given the following hypothesis:
H0 : μ ≤ 13
H1 : μ > 13
For a random sample of 10 observations, the sample mean was 17
and the sample standard deviation 3.20. Using the 0.100
significance level:
(a)
State the decision rule. (Round your answer to 3
decimal places.)
Reject H0 if t
>
(b)
Compute the value of the test statistic. (Negative value
should be indicated by a minus sign. Round your answer to 3 decimal
places.)...

A test of the null hypothesis H0: μ =
μ0 gives test statistic z =
−0.13. (Round your answers to four decimal
places.)
(a) What is the P-value if the alternative is
Ha: μ > μ0?
(b) What is the P-value if the alternative is
Ha: μ < μ0?
(c) What is the P-value if the alternative is
Ha: μ ≠ μ0?

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