Question

H0: ϻ ≤ 16.74 VS HA: ϻ > 16.74

What is the test statistic for sample of size 22, mean 13.56, and standard deviation 2.69? Enter the test statistic with 2 decimal places.

Answer #1

solution:

The null and alternative hypothesis is ,

H_{0} : 16.74

H_{a} :
>16.74

Test statistic = t

= ( - ) / / n

= (13.56-16.74) / 2.69/ 22

= -5.54

For a test of H0: p = 0.33 vs. Ha: p ≠ 0.33, the sample of size
101 shows 47 successes. Find the z test statistic. Round to two
decimal places

Test H0: p= 0.5 vs Ha: p > 0.5 using a
sample proportion of p^ = 0.57 and a sample size of n= 40. What is
the standardized test statistic, z?
A
0.885
B
0.07
C
0.871
D
0.894
Test H0: p= 0.5 vs Ha: p > 0.5 using a
sample proportion of p^= 0.57 and a sample size of n= 40. Using
your standardized test statistic from the previous question,
compute the p-value for this hypothesis test.
Hint: the...

To test H0: µ = 42.0 vs.
HA: µ ≠ 42.0, a sample of
n = 40
will be taken from a large population with σ=
9.90.
H0 will be rejected if the sample
mean is less than 40.3 or greater than
43.7.
Find and state the level of significance, α, to
three (3) places of decimal.

Consider the following hypothesis test:
H0: u ≤ 25
Ha: u > 25
A sample of 40 provided a sample mean of 26.4. The population
standard deviation is 6.
a) Compute the value or the test statistic. (keep 2 decimal
places)
Numeric Answer:
b) What is the p-value? (Keep 4 decimal places)
Numeric Answer:
c) Using a = .05, what is your conclusion?
Options:
A. reject H0
B. do not reject H0

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 ≤ 12
Ha: µ > 12
A sample of 25 provided a sample mean of 14 and a sample
standard deviation of 4.32.
Compute the value of the test statistic. (Round to two decimal
places) Answer
What is the p-value? (Round to three decimal places). Answer
At α=0.05, what is your conclusion? AnswerReject the null
hypothesisDo not reject the null hypothesis

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...

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. 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?...

Suppose that you are testing the hypotheses H0: μ=12 vs. HA:
μless than<12. A sample of size 25 results in a sample mean of
12.5 and a sample standard deviation of 1.9. a) What is the
standard error of the mean? b) What is the critical value of t*
for a 90% confidence interval? c) Construct a 90% confidence
interval for μ. d) Based on the confidence interval, at
alphaαequals=0.05 can you reject H0? Explain.

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