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 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 64 65 32 76 76 90 75 71 Process 2 62 73 9 61 53 93 77 77 52 Difference 2 -8 23 15 23 (Process 1 - Process 2) 33 -3 -2 19 Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding Hd (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 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) State the null hypothesis Ho and the alternative hypothesis H₁. μ Ho Hd 0 : (b) Determine the type of test statistic to use. Type of test statistic: t x Degrees of freedom: 7 ローロ (c) Find the value of the test statistic. Round to three or more decimal places.) -2.208 (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) 2.201 and -2.201 (e) At the 0.05 level, can the company conclude that the mean assembly times for the two processes differ? Yes No Try one last time S O G ?圖8民 signment
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 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 64 65 32 76 76 90 75 71 Process 2 62 73 9 61 53 93 77 77 52 Difference 2 -8 23 15 23 (Process 1 - Process 2) 33 -3 -2 19 Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding Hd (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 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) State the null hypothesis Ho and the alternative hypothesis H₁. μ Ho Hd 0 : (b) Determine the type of test statistic to use. Type of test statistic: t x Degrees of freedom: 7 ローロ (c) Find the value of the test statistic. Round to three or more decimal places.) -2.208 (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) 2.201 and -2.201 (e) At the 0.05 level, can the company conclude that the mean assembly times for the two processes differ? Yes No Try one last time S O G ?圖8民 signment
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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 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
64
65
32
76
76
90
75
71
Process 2
62
73
9
61
53
93
77
77
52
Difference
2
-8
23
15
23
(Process 1 - Process 2)
33
-3
-2
19
Send data to calculator
Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this
question by performing a hypothesis test regarding Hd (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 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) State the null hypothesis Ho and the alternative hypothesis H₁.
μ
Ho Hd
0
:
(b) Determine the type of test statistic to use.
Type of test statistic: t
x
Degrees of freedom: 7
ローロ
(c) Find the value of the test statistic. Round to three or more decimal places.)
-2.208
(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)
2.201 and -2.201
(e) At the 0.05 level, can the company conclude that the mean assembly times for the two processes
differ?
Yes No
Try one last time
S
<a
ORO OSO
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G
?圖8民
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