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 & 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 Process 1 Process 2 Difference (Process 1 - Process 2) Send data to calculator 1 71 56 2 63 3 66 43 68 4 5 6 58 81 15 20 -2 13 71 90 80 41 82 9 7 64 36 16 (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho: O H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: t 5 8 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 (which is 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. Hd Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 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.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 54 (e) At the 0.05 level, can the company conclude that the mean assembly time for Process 1 exceeds that of Process 2? OYes No 28 H X ㅁ 0=0 D X S P OSO 00 O
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 & 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 Process 1 Process 2 Difference (Process 1 - Process 2) Send data to calculator 1 71 56 2 63 3 66 43 68 4 5 6 58 81 15 20 -2 13 71 90 80 41 82 9 7 64 36 16 (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho: O H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: t 5 8 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 (which is 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. Hd Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 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.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 54 (e) At the 0.05 level, can the company conclude that the mean assembly time for Process 1 exceeds that of Process 2? OYes No 28 H X ㅁ 0=0 D X S P OSO 00 O
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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Transcribed Image Text:圖
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 & 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
Process 1
Process 2
Difference
(Process 1 - Process 2)
Send data to calculator
1
71
56
2
63
3
43 68
4
66 71 90
15 20 - 2
5 6
58 81
13
9
80
7
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho: 0
H₁:0
(b) Determine the type of test statistic to use.
Type of test statistic:
41 82
64 36 54
16 5
8
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 (which is 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.)
Degrees of freedom:
(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
28
(e) At the 0.05 level, can the company conclude that the mean assembly time for
Process 1 exceeds that of Process 2?
OYes No
H
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X
0=0
O
X
S
OSO
0*0 O<O
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P
010 A
S
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