Which of the following statements is not true if a test procedure about the population mean μ is performed when the population is normal with known standard deviation σ?
A. |
The rejection region for level α test is z ≥ zα/2 end if the test is an lower-tailed test. |
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B. |
The rejection region for level α test is z ≤ zα if the test is an upper-tailed test. |
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C. |
The rejection region for level α test is z ≥ zα if the test is an upper-tailed test. |
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D. |
The rejection region for level test is either z ≥ zα/2 or z ≤ zα if the test is a two-tailed test. |
Which of the following statements is not true if a test procedure about the population mean...
Consider the following hypothesis test:H0 : μ = 16Ha : μ ≠ 16A sample of 50 provided a sample mean of 14.34. The population standard deviation is 7. 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 1?d. Using α = .05, what are the critical values for the test statistic (to 2 decimals)?e. State the rejection...
A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to perform the required hypothesis test at the given significance level. Use the P-value approach. x̄ = 259, n = 15, σ = 19, H 0: μ = 250, Ha : μ > 250, α = 0.01
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=37, n = 31, σ=9, H0 : μ=39, Ha: μ<39 EB Click here to view a partial table of areas under the standard normal curve. The test statistic is z- (Round to two decimal places as needed.)
We are designing an experiment to test the following set of hypotheses about a population mean: H0:μ≥40 versus H1:μ<40. If the true population mean was 38, what sample size would we need in order to achieve a power of 0.8, with α=2.5%? Assume a standard deviation of 8 .
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: μ = 1400; α = 0.01; σ = 82 Sample statistics: = 1370, n = 35
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: μ ≠ 33; α = 0.05; σ = 2.7 Sample statistics: = 32.1, n = 35
A random sample of n - 16 scores is selecdted from a normal population with a mean of p - 50. After atreatment is administered to the individuals in the sample, the sample mean is found to be M -54 If the population standard deviation is σ-8, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α-.05. (Hint: Recall that the critical value for a two-tailed test with α-.05 is...
- The required sample size for the interval estimation of the population mean μ can be computed if we specify the population standard deviation σ, the value of zα/2zα/2based on the confidence level 100(1 − α)% and the desired margin of error E. A) True B) False - In stratified random sampling, the population is first divided up into mutually exclusive and collectively exhaustive groups, called strata. Then simple random samples are drawn from each stratum, which are proportional to...
5. (worth 16 points) Consider a test of H : μ-65 versus Ha μ > 65. The test uses σ-10, α-01 size of n 64. and a sample a. Describe the sampling distribution of Fassuming Ho is true. Mean (t)- Standard deviation (oz)- Shape: Sketch the sampling distribution of x assuming Ho is true is used as the test stat istic. Locate the rejection region on your graph from b. Specify the rejection region when x part a. C. Describe...
You wish to test the following claim ( H a H a ) at a significance level of α = 0.02 α = 0.02 H o : μ = 74.5 H a : μ ≠ 74.5 You believe the population is normally distributed and you know the standard deviation is σ = 14.8. You obtain a sample mean of M = 67.5 for a sample of size n = 26 What is the critical value for this test? (Report answer...