2. If the test statistic for testing H0: µ≤ 10 vs. HA: µ > 10 at...
2.
If the test statistic for testing H0: µ≤ 10 vs. HA: µ > 10 at the .05 level is 1.641 and the sample size is 20, which of the following is true concerning the correct decision for the test, assuming that σ is unknown?
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A Type I error is possible |
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A Type II error is possible |
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Either a type I or II error is possible |
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No error is possible |
3. p-value for the test statistic
Homework Answers
2) concerning the correct decision type I error is possible in given problem.
3) we are given t test statistic = 1.641 and d.f = n - 1 = 20-1
d.f = 19
p value = P ( t > 1.641 ) at d.f = 19
Using t table
P value = 0.0586
In testing H0: µ = 100 versus Ha: µ ╪ 100 versus using a sample size...
In testing H0: µ = 100 versus Ha: µ ╪ 100 versus using a sample size of 325, the value of the test statistic was found to be 2.16. The p-value (observed level of significance) is best approximated by 0.0154 0.9692 0.4846 0.0308 0.007
9.Compute the value of the test statistic for testing H0: ? = 30 vs. Ha: ?...
9.Compute the value of the test statistic for testing H0: ? = 30
vs. Ha: ? > 30, based on the information ? = 2.53, n = 32, x =
30.2, s = 2.58.
a. 0.08
b. 0.44
c. 0.45
d. 2.48
e. 2.53
8. The test statistic for large sample hypothesis tests concerning a single population mean, if ? is known, is found to be Z- C. s/n d. ?in
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size...
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 155 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...
In testing H0: μ = 10 vs Ha: μ 6= 10, we find the test z-statistic...
In testing H0: μ = 10 vs Ha: μ 6= 10, we find the test z-statistic is z(obs) = −2.5 Find the P-value of the test.
Suppose you want to test H0 : µ = 4 against Ha : µ > 4....
Suppose you want to test H0 : µ = 4 against Ha : µ > 4. In addition, suppose that σ = 5, n = 36, and you will reject H0 if x > 5 and accept H0 otherwise. (a) (6 pts) Find the power of this test against the alternative µ = 5.6. (b) (2 pts) Find the probability of a Type II error in this situation (just use your answer from part (a) to help you do this).
Compute the value of the test statistic for testing H0: μ = 30 vs. Ha: μ...
Compute the value of the test statistic for testing H0: μ = 30 vs. Ha: μ > 30, based on the information σ = 2.53, n = 32, LaTeX: \bar{x}x ¯= 30.2, s = 2.58. a) 2.536 b) 0.439 c) 2.488 d) 0.447 e) 0.089
Compute the value of the test statistic for testing H0: μ ≤ 30 vs. Ha: μ...
Compute the value of the test statistic for testing H0: μ ≤ 30 vs. Ha: μ > 30, where the true standard deviation is 2.53. You have 32 observations of data in which the mean is 30 and the standard deviation is 2.58.
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a...
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. Is H0 rejected? b. If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision? A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α...
4. It is desired to test H0 : µ = 20 Vs H1 : µ <...
4. It is desired to test H0 : µ = 20 Vs H1 : µ < 20, on the basis of a random sample of size 64 from normal distribution with population standard deviation σ = 2.4. The sample mean and sample standard deviation are found to be 19.5 and 2.5, respectively. (a) Test the hypothesis at α = 0.05. Compute the test statistics, critial regions, and perform the test. Will the result be difference if α is changed to...
Consider the following hypothesis test. H0: U ≥ 10 Ha: U < 10 The sample size...
Consider the following hypothesis test. H0: U ≥ 10 Ha: U < 10 The sample size is 120 and the population standard deviation is assumed known with = 6. Use = .05. a. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0 (to 4 decimals)? b. What type of error would be made if the actual population mean is 9 and we conclude that H0: ≥ 10...
9.Compute the value of the test statistic for testing H0: ? = 30
vs. Ha: ? > 30, based on the information ? = 2.53, n = 32, x =
30.2, s = 2.58.
a. 0.08
b. 0.44
c. 0.45
d. 2.48
e. 2.53
8. The test statistic for large sample hypothesis tests concerning a single population mean, if ? is known, is found to be Z- C. s/n d. ?in
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