Question
In: Statistics and Probability
Suppose we want to test H0 : μ ≥ 30 versus H1 : μ < 30. Which of the following...
Suppose we want to test H0 : μ ≥ 30 versus H1 : μ < 30. Which of the following possible sample results based on a sample of size 54 gives the strongest evidence to reject H0 in favor of H1?
a) x-bar = 32, s = 4
b) x-bar = 25, s = 16
c) x-bar = 28, s = 6
d) x-bar = 29, s = 10
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose we want to test H0 : μ ≥ 30 versus H1 : μ < 30. Which of the following...
Suppose we want to test H0
: μ ≥ 30
versus H1 : μ
< 30. Which of the following possible sample results based
on a sample of size 54 gives the strongest evidence to
reject H0 in favor
of H1?
a. x= 32, s = 4
b. x=29, s = 10
c. x= 28, s = 16
d. x= 25, s = 6
Suppose that we are to conduct the following hypothesis test: H0:μ =1030 H1:μ>1030 Suppose that you...
Suppose that we are to conduct the following hypothesis
test:
H0:μ =1030
H1:μ>1030
Suppose that you also know that σ=170, n=90, x¯=1058.9, and take
α=0.01. Draw the sampling distribution, and use it to determine
each of the following:
A. The value of the standardized test statistic:
Note: For the next part, your answer should use
interval notation. An answer of the form (−∞,a)(−∞,a) is expressed
(-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b,
infty), and an answer...
A test of H0: μ = 60 versus H1: μ ≠ 60 is performed using a...
A test of H0: μ = 60 versus H1: μ ≠ 60 is
performed using a significance level of 0.01. The p-value
is 0.033.
If the true value of μ is 53, does the conclusion result in a Type
I error, a Type II error, or a correct decision?
a- Type II error
b-Type I error
c- Correct decision
d-
A test is made of H0: μ = 62 versus H1: μ > 62. A sample...
A test is made of H0: μ = 62 versus H1: μ > 62. A sample of
size n = 79 is drawn, and 17)
x = 68. The population standard deviation is σ = 23. Compute the
value of the test statistic z and determine if H0 is rejected at
the α = 0.01 level. A)0.26, H0 not rejected B) 0.26, H0 rejected C)
2.32, H0 not rejected D) 2.32, H0 rejected
Suppose that we are to conduct the following hypothesis test: H0:μ=1010 H1:μ>1010 Suppose that you also...
Suppose that we are to conduct the following hypothesis
test:
H0:μ=1010
H1:μ>1010
Suppose that you also know that σ=250, n=95, x¯=1067.5, and take
α=0.01. Draw the sampling distribution, and use it to determine
each of the following:
A. The value of the standardized test statistic:
Note: For the next part, your answer should use interval
notation. An answer of the form (−∞,a) is expressed (-infty, a), an
answer of the form (b,∞) is expressed (b, infty), and an answer of...
Suppose we wish to test the hypothesis H0 :μ=45vs. H1 :μ>45. What will be the result...
Suppose we wish to test the hypothesis H0 :μ=45vs. H1
:μ>45.
What will be the result if we conclude that the mean is 45 when
the actual mean is 50? Choose one of the following.
1. We have made a Type I error.
2. We have made a Type II error.
3. We have made the correct decision.
Question 1: Test the following hypothesis: H0:μ = 41.8 versus H1:μ > 41.8; y =43.1, n...
Question 1: Test the following hypothesis: H0:μ = 41.8 versus
H1:μ > 41.8; y =43.1, n =16, σ = 3.1, α =0.05. Assume that the
data comes from a normal distribution. The conclusion is to
- reject the null hypothesis
- fail to reject the null hypothesis
Question 2: (not for forum discussion) Test the following
hypothesis: H0:μ = 41.8 versus H1:μ ≠ 41.8; y =43.1, n =16, σ =
3.1, α =0.05. Assume that the data comes from a...
Consider H0 : μ = 72 versus H1 : μ > 72 ∶ A random sample...
Consider H0 : μ = 72 versus H1 : μ > 72 ∶ A random sample of
16 observations taken from this population produced a sample mean
of 75.2. The population is normally distributed with σ = 6.
a. Calculate the p-value.
b. Considering the p-value of part a, would you reject the null
hypothesis if the test were made at a significance level of
.01?
c. Find the critical value and compare it with the test
statistic. What would...
We are to test H0 : µ = 1200 versus H1 : µ ≠ 1200 Assume...
We are to test H0 : µ = 1200 versus H1 : µ ≠ 1200
Assume that the random variable of interest Y~N( µ, σ2), where both
mean µ and standard deviation were unknown. And the sample mean
Ῡ=1422.2, sample standard deviation s=246.86, obtained from a
random sample of size n=10 taken from this population.
Compute the following:
a) P- value of the test
b) Probability of making Type II error of this test at µ= 1300
Aminah wish to perform the hypothesis testing H0: μ =1 versus H1: μ <1 versus with...
Aminah wish to perform the hypothesis testing H0: μ =1 versus
H1: μ <1 versus with α=0.10. . The sample size 25 was obtained
independently from a population with standard deviation 10. State
the distribution of the sample mean given that null hypothesis is
true and find the critical value, then calculate the values of
sample mean if she reject the null hypothesis. Finally, compute the
p-value, if the sample mean is -2.
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