You are designing a study to test the null hypothesis that µ = 0 versus the...
You are designing a study to test the null hypothesis that µ = 0 versus the alternative that µ is positive. Assume that σ is 20. Suppose that it would be important to be able to detect the alternative µ = 4. Use α = 0.05. a) What sample size is needed to detect this alternative with power of at least 0.80? b) What sample size is needed to detect this alternative with power of at least 0.90? c) With sample size at 200, what is the power of the test?
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You are designing a study to test the null hypothesis that µ = 0
versus the...
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...
I would like to test the null hypothesis that the population mean is 50 versus the...
I would like to test the null hypothesis that the population mean is 50 versus the alternative that it is not 50. My sample size is 6 and the sample mean is 38 with sample standard deviation of 16. At α = 0.05, I should:
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ =...
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ = 500 , and the significance level for this testing is 0.05. The population in question is normally distributed with standard deviation 100. A random sample of size n=25 will be used. If the true alternative mean is 550, then the probability of committing the type II error is ____.
You are testing the null hypothesis µ=150 versus the two tailed alternative. You reject the null...
You are testing the null hypothesis µ=150 versus the two tailed alternative. You reject the null hypothesis in favor of the alternative hypothesis. If in reality, µ does equal 150, you have made a : A. Correct Decision B. Type II Error C. Type I Error
Consider the following hypothesis test: H_0: µ <= 50 H_a: µ > 50 A sample of...
Consider the following hypothesis test: H_0: µ <= 50 H_a: µ > 50 A sample of size 60 provided a sample mean of 51.8. The population standard deviation is 8. a) Compute the value of the test statistic, rounding all calculations to 2 decimal places. b) What is the associated p-value? c) Using α = 0.05, what is your conclusion? Enter either "reject" or "fail to reject" without the quotes for what to do with the null hypothesis.
In order to test HO: µ0 = 40 versus H1: µ ≠ 40, a random sample...
In order to test HO: µ0 = 40 versus H1: µ ≠ 40, a random sample of size n = 25 is obtained from a normal population with a known σ = 6. My x-BAR mean is 42.3 from my sample. Using a TI 83/84 calculator, calculate my P-value with the appropriate Hypothesis Test. Use a critical level α = 0.01 and decide to Accept or Reject HO with the valid reason for the decision. A. My P-value greater than...
(3 points) Suppose that you're going to do a test of significance with null hypothesis 30...
(3 points) Suppose that you're going to do a test of significance with null hypothesis 30 and alternative hypothesis 30 You take a sample of size 88 and compute the sample mean I assume that the population standard deviation of the variable is o 7.1 and that the sampling distribution of the sample mean is normal a if you carry a hypothesis test with significance level 05, what values of will cause us to reject the null hypothesis in favor...
Consider the following hypothesis test: H_0: µ >= 80 H_a: µ < 80 A sample of...
Consider the following hypothesis test: H_0: µ >= 80 H_a: µ < 80 A sample of size 100 provided a sample mean of 78.5. The population standard deviation is 12. a) Compute the value of the test statistic b) What is the associated p-value? c) Using α = 0.01, what is your conclusion? Enter either "reject" or "fail to reject" without the quotes for what to do with the null hypothesis.
Suppose you test null hypothesis Ho : μι_Ha versus Ha : μ.μ2 , software gives 12.3 degrees of fre...
suppose you test null hypothesis Ho : μι_Ha versus Ha : μ.μ2 , software gives 12.3 degrees of freedom for your t test. Answer the following questions: a) If test statistics t-2.25 5, use the rejection region to decide if Ho be rejected or not at a .0.05? Include a sketch, clearly label critical value(s) and rejection and nonrejection regions. b) If test statistics was t-1.14, use a 0.05, compute the p-value and decide if Ho b rejected or not...
Fream o u at a=0.057 11. Consider a hypothesis test to detect a mean difference of...
Fream o u at a=0.057 11. Consider a hypothesis test to detect a mean difference of 5mm in mean blood pressure between individuals receiving a drug versus those not receiving the drug. Assume the common standard variance for all patients is 225 and there are equal sample sizes among the treatment and control groups. Use a significance level of a=0.05. a. What sample size do you recommend for each group to achieve a power of 0.80? Calculate the sample size...
(3 points) Suppose that you're going to do a test of significance with null hypothesis 30 and alternative hypothesis 30 You take a sample of size 88 and compute the sample mean I assume that the population standard deviation of the variable is o 7.1 and that the sampling distribution of the sample mean is normal a if you carry a hypothesis test with significance level 05, what values of will cause us to reject the null hypothesis in favor...
suppose you test null hypothesis Ho : μι_Ha versus Ha : μ.μ2 , software gives 12.3 degrees of freedom for your t test. Answer the following questions: a) If test statistics t-2.25 5, use the rejection region to decide if Ho be rejected or not at a .0.05? Include a sketch, clearly label critical value(s) and rejection and nonrejection regions. b) If test statistics was t-1.14, use a 0.05, compute the p-value and decide if Ho b rejected or not...
Fream o u at a=0.057 11. Consider a hypothesis test to detect a mean difference of 5mm in mean blood pressure between individuals receiving a drug versus those not receiving the drug. Assume the common standard variance for all patients is 225 and there are equal sample sizes among the treatment and control groups. Use a significance level of a=0.05. a. What sample size do you recommend for each group to achieve a power of 0.80? Calculate the sample size...
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