worker, and the company decides to eliminate this effect by selecting 12 workers at random and timing each worker on each assembly process. rkers 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 min corded, as shown in the table below. Worker Process 1 Process 2 Difference (Process 1 - Process 2) Send data to calculator 1 90 Explanation 78 Check 12 2 41 22 19 3 N 40 32 8 4 65 38 5 65 52 (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ :0 H₁ :0 Start 2 6 35 7 7 8 32 38 39 23 9 76 10 43 38 33 11 55 27 13 28 -7 15 38 10 -4 59 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 question by performing a hypothesis test regarding H (which is u with a letter "d" subscript), the population mean difference in assembly times for t 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 answ specified. (If necessary, consult a list of formulas.) 12 LL 81 X 50 31 O S 2022 McGraw Hill LLC. All Rights Reserved. P ê Terms of Use | Priva
worker, and the company decides to eliminate this effect by selecting 12 workers at random and timing each worker on each assembly process. rkers 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 min corded, as shown in the table below. Worker Process 1 Process 2 Difference (Process 1 - Process 2) Send data to calculator 1 90 Explanation 78 Check 12 2 41 22 19 3 N 40 32 8 4 65 38 5 65 52 (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ :0 H₁ :0 Start 2 6 35 7 7 8 32 38 39 23 9 76 10 43 38 33 11 55 27 13 28 -7 15 38 10 -4 59 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 question by performing a hypothesis test regarding H (which is u with a letter "d" subscript), the population mean difference in assembly times for t 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 answ specified. (If necessary, consult a list of formulas.) 12 LL 81 X 50 31 O S 2022 McGraw Hill LLC. All Rights Reserved. P ê Terms of Use | Priva
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
Related questions
Question
100%
Transcribed Image Text:A comp
nanufacturer 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.
77°F
Partly sunny
Worker
Process 1
Process 2
Difference
(Process 1 - Process 2)
Send data to calculator V
1
90
Explanation
78
Check
12
2
41
22
19
3
40
32
8
4
65
38
5
65
52
27 13
(a) State the null hypothesis H and the alternative hypothesis H₁.
Ho
H₁ :0
Start
6
35
7
OL
28
7
32
2
39
-7
8
38
23
15
U
9
76
C
38
38
10
43
33
prt sc
10
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 μ (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.)
11
55
59
W
12
81
-4 31
50
H
home
O
X S
P
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
end
<Q
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insert
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delete
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Transcribed Image Text:77°F
Partly sunny
(a) State the null hypothesis H and the alternative hypothesis H₁.
H:0
H₁ :0
(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 two critical values at the 0.05 level of significance. (Round to three or more decimal places.)
and 0
(e) At the 0.05 level, can the company conclude that the mean assembly times for the two processes
differ?
O Yes O No
Explanation
Check
Start
O
L
e
μ
W
|x
5
O
X
S
0=0 OSO
0<0
Ś
Р
믐
OZO
>0
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use |
10
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Follow-up Question
Transcribed Image Text:(a) State the null hypothesis and the alternative hypothesis H₁
H₁ = μ₁ = 0
H₁: Po # 0
1
(b) Determine the type of test statistic to use.
Type of test statistic: t
(c) Find the value of the test statistic. (Round to three or more decimal places.)
4.030
(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal place
and
(e) At the 0.05 level, can the company conclude that the mean assembly times for the two processes
differ?
F2
OYes O No
Explanation
F3
Check
DII
F4
Degrees of freedom:
F5
F6
OLO
F7
8
F8
g
F9
Ⓒ2022 McGraw
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