Question

Consider the following hypothesis test.

H_{0}: μ = 15

H_{a}: μ ≠ 15

A sample of 58 provided a sample mean x = 14 and a sample standard deviation s = 6.3.

(a) Compute the value of the test statistic.

(b) Use the *t* distribution table to compute a range for
the *p*-value.

(c) At α = 0.05, what is your conclusion?

(d) What is the rejection rule using the critical value? What is your conclusion?

Answer #1

Consider the following hypothesis test.
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.07. The population
standard deviation is 3.
(a)
Find the value of the test statistic. (Round your answer to two
decimal places.)
(b)
Find the p-value. (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
state your conclusion.
Reject H0. There is sufficient evidence to
conclude that μ ≠ 15.Reject H0. There
is...

Consider the following hypothesis test.
H0: μ ≤ 12
Ha: μ > 12
A sample of 25 provided a sample mean x = 14
and a sample standard deviation s = 4.65.
(a) Compute the value of the test statistic. (Round your answer
to three decimal places.)
(b) Use the t distribution table to compute a range for
the p-value.
a. p-value > 0.200
b. 0.100 < p-value <
0.200
c. 0.050 < p-value < 0.100
d. 0.025 < p-value...

Consider the following hypothesis test.
H0: μ ≤ 12
Ha: μ > 12
A sample of 25 provided a sample mean x = 14 and a sample
standard deviation s = 4.64.
(a)
Compute the value of the test statistic. (Round your answer to
three decimal places.)
(b)
Use the t distribution table to compute a range for the
p-value.
p-value > 0.2000.100 < p-value <
0.200 0.050 < p-value <
0.1000.025 < p-value < 0.0500.010 <
p-value < 0.025p-value <...

Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 5.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNo
Answer the next three questions using the critical value
approach.
d. Using α...

Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 6.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNoItem 3
Answer the next three questions using the critical value
approach.
d. Using...

1. Consider the following hypothesis test: Ho: μ = 15 H1: μ ≠
15
A sample of 50 provided a sample mean of 15.15. The population
standard deviation is 3.
a. Compute the value of the test statistic. b. What is the p
value? c. At α = 0.05, what is the rejection rule using the
critical value? What is your conclusion?

Consider the following hypothesis test: H0: µ = 15 Ha: µ ≠ 15 A
sample of 50 provided a sample mean of 14.15. The population
standard deviation is 3. A.) Compute the value of the test
statistic. (Round to two decimal places). B.) What is the p-value?
(Round to three decimal places) C.) Using a=0.01, what is your
conclusion? D.) Using the critical value approach for the 99%
confidence level, what is the critical value? what is the rejection
rule?...

Consider the following hypothesis test.
H0: μ ≥ 20
Ha: μ < 20
A sample of 50 provided a sample mean of 19.3. The population
standard deviation is 2.
(a)
Find the value of the test statistic. (Round your answer to two
decimal places.)
(b)
Find the p-value. (Round your answer to four decimal
places.)
p-value =
(c)
Using
α = 0.05,
state your conclusion.
Reject H0. There is sufficient evidence to
conclude that μ < 20.Reject H0.
There is...

Consider the following hypothesis test:
H0: µ = 15
Ha: µ ≠ 15
A sample of 50 provided a sample mean of 14.15. The population
standard deviation is 3.
Compute the value of the test statistic. (Round to two decimal
places).
What is the p-value? (Round to three decimal places)
At α=0.05, what is your conclusion? (Reject the null hypothesis)
or (Do not reject the null hypothesis)

Consider the following hypothesis test.
H0: μ ≤ 25
Ha: μ > 25
A sample of 40 provided a sample mean of 26.2. The population
standard deviation is 6.
(a) Find the value of the test statistic. (Round your answer to
two decimal places.)
(b)Find the p-value. (Round your answer to four decimal
places.)
(c)At α = 0.01, state your conclusion.
Reject H0. There is sufficient evidence to
conclude that μ > 25.
Reject H0. There is insufficient evidence to...

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