Question

statistics help

7) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test ie, describe the values of the test statistic that would result in rejection of the null hypothesis Suppose you wish to test the claim that the mean value of the differences d for a population of paired data, is greater than 0. Given a sample of n-15 and a significance level of a-001, what criterion would be used for rejecting the null hypothesis 8) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test: ie, describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d-3.125, sd-2911, and 8, and that you wish to test the following hypothesis at the 10% level of significance: HO : μ4° 0 against H1 : μd > 0. What decision rule would you use? 9) Determine whether the samples are independent or dependent. The effectiveness of a headache medicine is tested by measuring the intensity of a headache in patients before and after drug treatment. The data consist of before and after intensities for each patient 10) Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is d 0. Compute the value of the ttest statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed x 28 31 20 25 28 27 33 35 y 26 27 26 25 29 32 33 34 11) When testing the claim that p1-p2, a test statistic of :-204 is obtained. Find the P-value obtained from this test statistic 12) Which distribution is used to test the daim that the standard deviation of the ages (in years) of when girls first leam to ride a bike is equal to the standard deviation of the ages (in years) when boys first lean to ride a bike? 13) Assume that two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Which distribution is used to test the claim that women have a higher mean resting heart rate than men? 14) If the heights of male college basketball players and female basketball players are used to construct a 95% confidence interval for the difference between the two population means, the result is 1535 ㎝ μ 1 μ 19.81 cm, where heights of male players correspond to population 1 and heights of female players correspond to population 2. Express the confidence interval with heights of female basketball players being population 1 and heights of male basketball players being population 2

Answer 1

As per the HOMEWORKLIB POLICY, we are advised to do only one question at a time so i am attempting 7th.

7. Degrees of freedom = n - 1 = 15 - 1 = 14

Since we are testing whether the population mean difference is greater than 0, it will be a right tailed test. Hence, by using t table:

Critical value at 14 degrees of freedom and 0.01 significance level = 2.624

Therefore,

Criteria used for rejecting the null hypothesis will be:

Reject Ho if t > 2.624