Question

Question 1

The p-value of a test *H*_{0}: μ= 20 against the
alternative *H*_{a}: μ >20, using a sample of
size 25 is found to be 0.3215.

What conclusion can be made about the test at 5% level of significance?

Group of answer choices

Accept the null hypothesis and the test is insignificant.

Reject the null hypothesis and the test is insignificant.

Reject the null hypothesis and the test is significant

Question 2

As reported on the package of seeds, the mean time until
maturity of a certain variety of tomato plant is 70 days. It is
also known that the maturity of this variety of tomato follows a
normal distributed with standard deviation σ = 2.4. A researcher
believes that it will indeed take more time in a given condition.
To test his belief, he selects a sample of 16 plants of this
variety under the maintained condition and measure the time until
maturity. The sample yields x ¯ = 75. days. What is the p-value of
the test for testing *H*_{0}: μ = 70 against
*H*_{a}: μ <70 ?

Group of answer choices

Cannot be determined.

0.50

1.00

Question3

We wish to test a hypothesis H 0: μ = 10 against H a:μ ≠ 10 , where σ = 2.5 . On the basis of a sample of size 40, the sample mean is found to be 11.5. Find the test statistic value at 5% significance level.

Group of answer choices

3.795

-4.610

1.926

Answer #1

a. If for the test of H0: μ = μ h vs. Ha: μ
≠ μ h the null hypothesis cannot be rejected at α = .05, then it
______ be rejected at α = .10 for the test of H0: μ = μ h
vs. Ha: μ > μ h.
A. might B. must always C. will never
b. If the 80% confidence interval for μ contains
the value μ h, then the P-value for the test of H0:...

4) The time (in number of days) until maturity of a certain
variety of hot pepper is Normally distributed, with mean μ and
standard deviation σ = 2.4. This variety is advertised as taking 70
days to mature. I wish to test the hypotheses H0: μ = 70, Ha: μ
> 70, so I select a simple random sample of four plants of this
variety and measure the time until maturity. The four times, in
days, are
76 73 69...

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...

Suppose the hypothesis test
H0:μ=12H0:μ=12
against
Ha:μ<12Ha:μ<12
is to be conducted using a random sample of n=44n=44
observations with significance level set as
α=0.05α=0.05.
Assume that population actually has a normal distribution with
σ=6.σ=6.
Determine the probability of making a Type-II error (failing to
reject a false null hypothesis) given that the actual population
mean is μ=9μ=9.
P(Type-II error) ==

Suppose we test H0: μ = 42 versus the alternative
Ha: μ ≠ 42. The p-value for this test is
0.03, which is less than 0.05, so the null hypothesis will be
rejected.
Suppose that after this test, we form a 95% confidence interval
for μ. Which of the following intervals is the only possible
confidence interval for these data? (Hint: use chapter 13 and the
relationship between confidence intervals and hypothesis tests)
Question 10 options:
(35, 54)
(24, 79)...

Suppose we test H0: μ = 42 versus the alternative
Ha: μ ≠ 42. The p-value for this test is
0.03, which is less than 0.05, so the null hypothesis will be
rejected.
Suppose that after this test, we form a 95% confidence interval
for μ. Which of the following intervals is the only possible
confidence interval for these data? (Hint: use chapter 13 and the
relationship between confidence intervals and hypothesis tests)
Question 10 options:
(35, 54)
(24, 79)...

In a test of H0: μ = 200 against Ha: μ
> 200, a sample of n = 120 observations possessed mean = 202 and
standard deviation s = 34. Find the p-value for this test. Round
your answer to 4 decimal places.

Consider the following hypothesis test.
H0: μ = 20
Ha: μ ≠ 20
A sample of 230 items will be taken and the population standard
deviation is σ = 10. Use α = 0.05. Compute the probability of
making a type II error if the population mean is the following.
(Round your answers to four decimal places. If it is not possible
to commit a type II error enter NOT POSSIBLE.)
(a) μ = 18.0
(b) μ = 22.5
(c)...

It is desired to test H0: μ = 50 against HA: μ ≠ 50 using α =
0.10. The population in question is uniformly distributed with a
standard deviation of 15. A random sample of 49 will be drawn from
this population. If μ is really equal to 45, what is the power of
the test ?

The time (in number of days) until maturity of a certain
variety of hot pepper is Normally distributed, with mean μ and
standard deviation σ = 2.4. This variety is advertised as taking 70
days to mature. I wish to test the hypotheses H0: μ = 70, H1: μ ≠
70, so I select a simple random sample of four plants of this
variety and measure the time until maturity. The four times, in
days, are 70 72 79 67...

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