-11. Test the clatm that the population means are different. Use level of significance 0.01. sample mean of A measurements from a second population With population standard deviation o,6 had a sample mean (a) Check Requirements: what distribution does the sample test statistic follow? Explain. O The standard normal. We assume that both population distributions are appraximately normal with unknown standard devtations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard devlations. O The Student's t. We assume that both population distributions are approximately normal with known standard devtations. O The standard normal. We assume that both population distributions are approximately normal with known standard devtations. (b) State the hypotheses. (c) Compute x, - X Compute the corresponding sample distribution value. (Test the difference u, -H. Round your answer to two decimal places.) (d) Find the P.value of the sample test statistic. (Round your answer to four decimal places.) (e) Conclude the test. O At the a= 0.01 level, we reject the null hypothests and conclude the data are statistically signifcant. O At the a 0.01 level, we falil to reject the null hypothesis and conclude the data are not statistically significant. At the a0.01 level, we fail to reject the null hypothesis and condlude the data are statistically significant. O At the a 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. (1) Interpret the results. Brtest the nul hypothesis, there is sufficient evidence that there is a difference between the population means. difference between the population means.

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A random sample of n, =
x, = 11. Test the clatm that the population means are different. Use level of significance 0.01.
49 measurements from a population with population standard deviation o, 5 had a sample mean of x, - 8. An Independent random sample of n, = 64 measurements from a second population with population standard deviation o, =6 had a sample mean of
(a) Check Requtrements: what distribution does the sample test statistic follow? Explain.
O The standard normal. We assume that both population distributions are approximately normal with unknown standard devlations.
O The Student's t. We assume that both population distributions are approximately normal with unknown standard devlations.
O The Student's t. We assume that both population distributions are approximately normal with known standard devlations.
O The standard normal. We assume that both population distributions
approximately normal with known standard deviations.
(b) State the hypotheses.
O H, H, = H2i H,: 4, > H2
(c) Compute x, - X2
X- X =
Compute the corresponding sample distribution value. (Test the difference u, -H. Round your answer to two decimal places.)
(d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
(e) Conclude the test.
O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the oc
0.01 level, we fal to reject the null hypothesis and conclude the data are not statistically significant.
O At the a 0.01 level, we falil to reject the null hypothesis and conclude the data are statistically significant.
O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
(() Interpret the results.
O Reject the null hypothesis, there is sufficient evidence that there is a difference between the population means.
O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference between the population means.
O Fail to reject the null hypothesis, there is Insufficient evidence that there is a difference between the populabon means
O Reject the null hypothesis, there is Insufficlent evidence that there is a difference between the population means.
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Transcribed Image Text:A random sample of n, = x, = 11. Test the clatm that the population means are different. Use level of significance 0.01. 49 measurements from a population with population standard deviation o, 5 had a sample mean of x, - 8. An Independent random sample of n, = 64 measurements from a second population with population standard deviation o, =6 had a sample mean of (a) Check Requtrements: what distribution does the sample test statistic follow? Explain. O The standard normal. We assume that both population distributions are approximately normal with unknown standard devlations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard devlations. O The Student's t. We assume that both population distributions are approximately normal with known standard devlations. O The standard normal. We assume that both population distributions approximately normal with known standard deviations. (b) State the hypotheses. O H, H, = H2i H,: 4, > H2 (c) Compute x, - X2 X- X = Compute the corresponding sample distribution value. (Test the difference u, -H. Round your answer to two decimal places.) (d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.) (e) Conclude the test. O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the oc 0.01 level, we fal to reject the null hypothesis and conclude the data are not statistically significant. O At the a 0.01 level, we falil to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. (() Interpret the results. O Reject the null hypothesis, there is sufficient evidence that there is a difference between the population means. O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference between the population means. O Fail to reject the null hypothesis, there is Insufficient evidence that there is a difference between the populabon means O Reject the null hypothesis, there is Insufficlent evidence that there is a difference between the population means. us 09 0 4:04 Need Help? Read n Chp 火 -> esc & 06
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