A sample of 16 items from population 1 has a sample variance
- a. What is your conclusion using the p-value approach?
- b. Repeat the test using the critical value approach.
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Essentials Of Statistics For Business & Economics
- Assume that you have a sample of n1=8, with the sample mean X1=44, and a sample standard deviation of S1=5, and you have an independent sample of n2=14 from another population with a sample mean of X2=30 and the sample standard deviation S2=6. Using a significance level of α=0.025, what is the critical value for a one-tail test of the hypothesis H0: μ1≤ μ2 against the alternative H1: μ1>μ2? The critical value is ______ (Round to two decimal places as needed.)arrow_forwardA sample is selected from a population with population mean = 50 After a treatment is administered to the individuals in the sample, the mean is found to be M = 55 and the variance is s ^ 2 = 64 a. If the sample has n = 36 scores, then conduct the four steps of hypothesis testing to evaluate the significance of the treatment effect and calculate Cohen's d to measure the size of the treatment effectUse a two-tailed test with alpha fevel = .05arrow_forwardIn a test of H0:p=0.4 against Ha:p≠0.4, a sample of size 100 produces z=1.28 for the value of the test statistic. Thus the p-value of the test is approximately equal to?arrow_forward
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- Assume that you have a sample of n1=8, with the sample mean X1=46, and a sample standard deviation of S1=6, and you have an independent sample of n2=6 from another population with a sample mean of X2=37 and the sample standard deviation S2=5. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that μ1>μ2? Determine the hypotheses. Choose the correct answer below. A. H0: μ1≤μ2 H1: μ1>μ2 Your answer is correct. B. H0: μ1>μ2 H1: μ1≤μ2 C. H0: μ1≠μ2 H1: μ1=μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Find the test statistic. tSTAT=arrow_forwardAssume that you have a sample of n1 = 7, with the sample mean XBar X1 = 44, and a sample standard deviation of S1 = 5, and you have an independent sample of n2 = 14 from another population with a sample mean XBar X2 = 36 and sample standard deviation S2 = 6. a. Using the level of significance α = 0.01, what is the critical value for a one tail test of the hypothesis H0:µ1 ≤ µ2 against the alternative H1:µ1 > µ2? b. What is your statistical decision?arrow_forwarda sample of n=16 individuals is selected from a population with u = 30. After a treatment is administered to the individuals, the sample mean is found to be m = 33 . the researcher expects the treatments will increase scores on a variable. (a) assuming the sample variance is s^2 = 10 , conduct a hypothesis test to evaluate the significance of the treatment use a one-tailed test with alpha = 0.01. what conclusion would you draw? (b) assuming the sample variance is s^2 = 55, conduct a hypothesis test to evaluate the significance of the treatment effect. use a one-tailed test with alpha = 0.01. what conclusion would you draw? (c) describe how increasing variance affects the likelihood of rejecting the null hypothesis and the measure of effect size.arrow_forward
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