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The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 9 processing times from computer 1 showed a mean of 72 seconds with a standard deviation of 19 seconds, while a random sample of 14 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 61 seconds with a standard deviation of 20 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that the mean processing time of computer 1, H, is greater than the mean processing time of computer 2, H? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. H, :0 H¡ :0 믐 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean processing time of computer 1 is greater than the mean processing time of computer 2? O Yes ONo

The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 9 processing times from computer 1 showed a mean of 72 seconds with a standard deviation of 19 seconds, while a random sample of 14 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 61 seconds with a standard deviation of 20 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that the mean processing time of computer 1, H, is greater than the mean processing time of computer 2, H? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. H, :0 H¡ :0 믐 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean processing time of computer 1 is greater than the mean processing time of computer 2? O Yes ONo

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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O BUSAD265 Ch x A ALEKS - Kierra x b Answered: Esp x T-test for two X Order 356230 x O Students Hom x O Week 10 Excel x E Business Stati x C Excel Lab #4 + A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsIkr7j8P3jH-lv-Y-mBdRDk1FzbOsPOiMQwqFYZIN5rXLxPuxnZq4jpYsPJ_OS5M1twf2Ei_4kozoqYNMJlb13a8UsVom. Update : O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING OD Kierra v Hypothesis test for the difference of population means: t test fo... Español The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 9 processing times from computer 1 showed a mean of 72 seconds with a standard deviation of 19 seconds, while a random sample of 14 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 61 seconds with a standard deviation of 20 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that the mean processing time of computer 1, µ, is greater than the mean processing time of computer 2, H? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean processing time of computer 1 is greater than the mean processing time of computer 2? O Yes O No
Transcribed Image Text:O BUSAD265 Ch x A ALEKS - Kierra x b Answered: Esp x T-test for two X Order 356230 x O Students Hom x O Week 10 Excel x E Business Stati x C Excel Lab #4 + A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsIkr7j8P3jH-lv-Y-mBdRDk1FzbOsPOiMQwqFYZIN5rXLxPuxnZq4jpYsPJ_OS5M1twf2Ei_4kozoqYNMJlb13a8UsVom. Update : O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING OD Kierra v Hypothesis test for the difference of population means: t test fo... Español The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 9 processing times from computer 1 showed a mean of 72 seconds with a standard deviation of 19 seconds, while a random sample of 14 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 61 seconds with a standard deviation of 20 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that the mean processing time of computer 1, µ, is greater than the mean processing time of computer 2, H? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean processing time of computer 1 is greater than the mean processing time of computer 2? O Yes O No
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