A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is the standard process used for several years, and Process 2 is an updated process hoped to bring a decrease in assembly time. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6 7 8 Process 1 79 57 56 52 57 50 68 39 Process 2 69 63 58 59 46 35 66 31 Difference (Process 1 - Process 2) 10 -6 -2 -7 11 15 2 8 Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly time for Process 1 exceeds that of Process 2? Answer this question by performing a hypothesis test regarding H (which is μ with a letter "d" subscript), the population mean difference in assembly times for the two processes. Assume that this population of differences (Process 1 minus Process 2) is normally distributed. 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H Ho :O (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) At the 0.05 level, can the company conclude that the mean assembly time for Process 1 exceeds that of Process 2? O Yes O No |x 9 a X Q S 00*0 5 ?
A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is the standard process used for several years, and Process 2 is an updated process hoped to bring a decrease in assembly time. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6 7 8 Process 1 79 57 56 52 57 50 68 39 Process 2 69 63 58 59 46 35 66 31 Difference (Process 1 - Process 2) 10 -6 -2 -7 11 15 2 8 Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly time for Process 1 exceeds that of Process 2? Answer this question by performing a hypothesis test regarding H (which is μ with a letter "d" subscript), the population mean difference in assembly times for the two processes. Assume that this population of differences (Process 1 minus Process 2) is normally distributed. 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H Ho :O (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) At the 0.05 level, can the company conclude that the mean assembly time for Process 1 exceeds that of Process 2? O Yes O No |x 9 a X Q S 00*0 5 ?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is the standard process used for several
years, and Process 2 is an updated process hoped to bring a decrease in assembly time. Assembly times can vary considerably from worker to worker, and the
company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at
random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the
table below.
Worker
1
2
3
4
5
6
7
8
Process 1
79
57
56
52
57
50 68
39
Process 2
69
63 58
59
46
35
66 31
Difference
(Process 1 - Process 2)
10
-6 -2 -7 11
15 2 8
Send data to calculator
Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly time for Process 1 exceeds that of Process 2? Answer
this question by performing a hypothesis test regarding H (which is μ with a letter "d" subscript), the population mean difference in assembly times for the two
processes. Assume that this population of differences (Process 1 minus Process 2) is normally distributed.
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. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H
O
Р
Ho :O
S
H₁ :0
00 8
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
(e) At the 0.05 level, can the company conclude that the mean assembly time for Process 1
exceeds that of Process 2?
O Yes O No
0-0
O#O
X
O<O
00
ロマロ
O>O
?
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