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An electronics manufacturing process has historically had a mean completion time of 65 minutes. It is claimed that, due to improvements in the process, the mean completion time, μ, is now less than 65 minutes. A random sample of 22 completion times using the new process is taken. The sample has a mean completion time of 59 minutes, with a standard deviation of 12 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of significance, can it be concluded that the population mean completion time using the new process is less than 65 minutes? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ :O H₁ :0 (6) μ |x 11 0 S Р

An electronics manufacturing process has historically had a mean completion time of 65 minutes. It is claimed that, due to improvements in the process, the mean completion time, μ, is now less than 65 minutes. A random sample of 22 completion times using the new process is taken. The sample has a mean completion time of 59 minutes, with a standard deviation of 12 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of significance, can it be concluded that the population mean completion time using the new process is less than 65 minutes? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ :O H₁ :0 (6) μ |x 11 0 S Р

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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An electronics manufacturing process has historically had a mean completion time of 65 minutes. It is claimed that, due to improvements in the process, the mean completion time, μ, is now less than 65 minutes. A random sample of 22 completion times using the new process is taken. The sample has a mean completion time of 59 minutes, with a standard deviation of 12 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of significance, can it be concluded that the population mean completion time using the new process is less than 65 minutes? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value. (Round to three or more decimal places.) 0 (e) Can it be concluded that the mean completion time using the new process is less than 65 minutes? O Yes O No μ 0=0 X 0 S OSO 0<0 Р <o 00 O<O
Transcribed Image Text:An electronics manufacturing process has historically had a mean completion time of 65 minutes. It is claimed that, due to improvements in the process, the mean completion time, μ, is now less than 65 minutes. A random sample of 22 completion times using the new process is taken. The sample has a mean completion time of 59 minutes, with a standard deviation of 12 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of significance, can it be concluded that the population mean completion time using the new process is less than 65 minutes? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value. (Round to three or more decimal places.) 0 (e) Can it be concluded that the mean completion time using the new process is less than 65 minutes? O Yes O No μ 0=0 X 0 S OSO 0<0 Р <o 00 O<O
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