Suppose that a sample has been drawn from a normal population to conduct the hypothesis test Ho: 0² H₁: 0² = 22 22 = assume that you know that the sample variance is s² 48, the sample size is 224, and take a = 0.05. Draw the sampling distribution, and use it to determine ach of the following: . The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the orm (-∞, a) is expressed (-infty, a), an answer of the form (b, ∞) is expressed (b, fty), and an answer of the form (-∞, a) U (b, ∞) is expressed (-infty, a)U(b, fty). 3. The rejection region for the standardized test statistic: C. Reject H₁. D. Reject Ho. C. Your decision for the hypothesis test: A. Do Not Reject Ho. B. Do Not Reject H₁.

Find the standardized test statistic estimate, z, to test the hypothesis that p, > p,. Use a= 0.01. The sample statistics listed below are from independent samples. Round to three decimal places. Sample statistics: n, = 100, x, = 38, and n2 = 140, X2 = 50 %3D %D O A. 0.638 B. 0.362 O C. 2.116 D. 1.324 S ting Click to select your answer. Type here to search hp 近

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.   A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs.   College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4             College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6     Construct a​ 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. ​(Note: x1=​3.1125, x2=​3.4385, s1=​0.4357 s2=0.5485

A researcher would like to evaluate the effectiveness of a pain-relief patch designed for lower back pain. Prior to testing the patch, each of n = 8 patients rates the current level of back pain on a scale from 1 to 10. After wearing the patch for 90 minutes, a second pain rating is recorded. The data are as follows: Include in your responses: A. Compute the mean and variance for the sample of difference scores. B. Provide the Null and alternative hypotheses  C. Calculate SSD

Find the test statistic, t, to test the hypothesiis that p, = ,. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Round to three decimal places, n,=25 n, = 30 X, =32 X2 = 30 $=1.5 %3D $2=1.9 O A. 1.986 O B. 4.361 O C. 2.892 券 O D. 3.287 Click to select your answer. 02/16/21 ch 2.3 Homework a 99+

The t test for the difference between the means of two independent populations assumes that the respective Seleccione una: O A. populations are approximately normal. В. sample sizes are equal. С. sample variances are equal. O D. all of the above

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.   Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure.   a. The test statistic is ​(Round to two decimal places as​ needed.)   b. The​ P-value is ​(Round to three decimal places as​ needed.)

I need help finding the test statistic and the P-value

What does the t test for the difference between the means of 2 independent populations​ assume?   A. The sample sizes are equal.   B. The sample variances are equal.   C. The populations are approximately normal.   D. All of the above

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p, and p2 at the given level of significance a using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: P1 = P2, a = 0.10 Sample statistics: X1 = 108, n, = 128 and x, = 32, n, = 195 %3D Can a normal sampling distribution be used? No Yes Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = P2 Ha: P1 > P2 В. Но: Р1 <Р2 Ha: P1 = P2 O C. Ho: P1 # P2 Ha: P1 = P2 D. Ho: P1 = P2 Ha: P1 # P2 O E. A normal sampling distribution cannot be used, so the claim cannot be tested.