A personal 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 12workers randomly and timing each worker in each assembly process. Half of the workers are randomly chosen to use Process 1 first, and the rest use Process 2 first. The assembly time (in minutes) of each worker and each process is recorded, as shown in the table below. Worker process 1 process 2 Difference (Process 1 - Process 2) Send data to calculator 1 71 79 -8 2 52 52 0 3 49 43 6 4 41 58 5 fifty 76 40 6 -17 10 49 27 7 89 (to) Formulate the null hypothesish and the alternative hypothesish 1 ho:μ₁ = 0 83 6 89 70 74 -4 17 μ 84 56 67 xl X 10 355 O eleven 12 Based on these data, can the company conclude, at the significance level of0.05, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regardingu (what isuwith a letter "d" subscript), the population mean of the difference in assembly times for the two processes. Assume that this population of differences (Process 1 minus Process 2) follows a normal distribution. S 54 67 twenty-one Perform a two-tailed test. Then complete the parts below. Carry out intermediate calculations to three or more decimal places and round your answers as indicated. (If necessary, you can refer to a list of formulas.) 61 65 Р 2

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Determine the type of test statistic to use. CHOOSE ONE 

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A personal 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 12workers randomly and timing each worker in each assembly process. Half of
the workers are randomly chosen to use Process 1 first, and the rest use Process 2 first. The assembly time (in minutes) of each worker and each process is
recorded, as shown in the table below.
Worker
process 1
process 2
Difference
(Process 1 Process 2)
Send data to calculator
(to)
1
71
ho: Ma
79
0
2
52
52
-8 0
3
49
43
6
4
41
58
- 17
5
fifty
40
10
Formulate the null hypothesish and the alternative hypothesish
0
6
76
49
27
7
89
1'
83
6
8
70 84
9
74 67
-4 17
3
XI
Based on these data, can the company conclude, at the significance level of0.05, that the mean assembly times for the two processes differ? Answer this
question by performing a hypothesis test regardingμ (what isµwith a letter "d" subscript), the population mean of the difference in assembly times for the two
processes. Assume that this population of differences (Process 1 minus Process 2) follows a normal distribution.
10
56
Perform a two-tailed test. Then complete the parts below. Carry out intermediate calculations to three or more decimal places and round your answers as
indicated. (If necessary, you can refer to a list of formulas .)
S
35
0
eleven 12
54 67
61
twenty-one 2
<Q
65
Р
Transcribed Image Text:A personal 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 12workers randomly and timing each worker in each assembly process. Half of the workers are randomly chosen to use Process 1 first, and the rest use Process 2 first. The assembly time (in minutes) of each worker and each process is recorded, as shown in the table below. Worker process 1 process 2 Difference (Process 1 Process 2) Send data to calculator (to) 1 71 ho: Ma 79 0 2 52 52 -8 0 3 49 43 6 4 41 58 - 17 5 fifty 40 10 Formulate the null hypothesish and the alternative hypothesish 0 6 76 49 27 7 89 1' 83 6 8 70 84 9 74 67 -4 17 3 XI Based on these data, can the company conclude, at the significance level of0.05, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regardingμ (what isµwith a letter "d" subscript), the population mean of the difference in assembly times for the two processes. Assume that this population of differences (Process 1 minus Process 2) follows a normal distribution. 10 56 Perform a two-tailed test. Then complete the parts below. Carry out intermediate calculations to three or more decimal places and round your answers as indicated. (If necessary, you can refer to a list of formulas .) S 35 0 eleven 12 54 67 61 twenty-one 2 <Q 65 Р
татса
(to)
(b)
(c)
(d)
11 necessary,
Formulate the null hypothesish and the alternative hypothesish
0
на
1
=
0
TOTTITUTAS
#0
на
Determine the type of test statistic to use.
Test Statistic Type you
Find the value of the test statistic:
(Round to three or more decimal places.)
1.189803
1'
Degrees of freedom:
Find the two critical values at the significance level of0.05:
(Round to three or more decimal places).
2.20099 and 2.20099
(and) at the level of 0.05 Can the company conclude that the mean assembly times
for the two processes differ?
O Yeah No
3
μ
XI
0=0
D
X
S
0#0 O<O
р
<Q
OSO ☐☐
☐☐
Transcribed Image Text:татса (to) (b) (c) (d) 11 necessary, Formulate the null hypothesish and the alternative hypothesish 0 на 1 = 0 TOTTITUTAS #0 на Determine the type of test statistic to use. Test Statistic Type you Find the value of the test statistic: (Round to three or more decimal places.) 1.189803 1' Degrees of freedom: Find the two critical values at the significance level of0.05: (Round to three or more decimal places). 2.20099 and 2.20099 (and) at the level of 0.05 Can the company conclude that the mean assembly times for the two processes differ? O Yeah No 3 μ XI 0=0 D X S 0#0 O<O р <Q OSO ☐☐ ☐☐
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