A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 12 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 3 4 5 6 7 8 10 11 12 Process 1 66 33 77 37 84 74 64 67 57 86 84 36 Process 2 61 34 73 21 93 56 49 68 38 95 91 47 Difference (Process 1 - Process 2) -1 16 -9 18 15 -1 19 -9 -7 -11 Send data to calculator Based on these data, can the company conclude, at the 0.10 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding u, (which is u 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 two-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 computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 12 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 3 4 5 6 7 8 10 11 12 Process 1 66 33 77 37 84 74 64 67 57 86 84 36 Process 2 61 34 73 21 93 56 49 68 38 95 91 47 Difference (Process 1 - Process 2) -1 16 -9 18 15 -1 19 -9 -7 -11 Send data to calculator Based on these data, can the company conclude, at the 0.10 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding u, (which is u 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 two-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.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Question
Transcribed Image Text:Perform a two-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.)
Es
(a) State the null hypothesis H, and the alternative hypothesis H,.
H :0
H :0
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
D=D
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
O and O
(e) At the 0.10 level, can the company conclude that the mean assemnbly times for the two processes
differ?
O Yes
No
Transcribed Image Text:A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker
to worker, and the company decides to eliminate this effect by selecting 12 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
4
17
18.
9
10
11
12
Process 1
66
33
77
37
84
74
64
67
57
86
84
36
Process 2
61
34
73
21
93
56
49
68
38
95
91
47
Difference
(Process 1 - Process 2)
- 1
4
16
6.
18
15
1-1
19
-11
Send data to calculator
Based on these data, can the company conclude, at the 0.10 level of significance, that the mean assembly times for the two processes differ? Answer this
question by performing a hypothesis test regarding, (which isu 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 two-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.)
3.
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