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 V (to) 1 71 ho 79 2 52 دی -8 0 49 52 43 6 4 5 41 58 fifty 76 40 6 49 -17 10 27 Formulate the null hypothesish and the alternative hypothesish 7 89 1' 83 6 8 70 74 9 84 -4 17 н 67 X 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 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 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.) 56 O S eleven 12 54 67 35 61 twenty-one 2 65 Р P
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 V (to) 1 71 ho 79 2 52 دی -8 0 49 52 43 6 4 5 41 58 fifty 76 40 6 49 -17 10 27 Formulate the null hypothesish and the alternative hypothesish 7 89 1' 83 6 8 70 74 9 84 -4 17 н 67 X 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 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 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.) 56 O S eleven 12 54 67 35 61 twenty-one 2 65 Р P
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:Perform a two-lailed test. Then complete the parts delow. 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 .)
(to)
(b)
(c)
(d)
Formulate the null hypothesish and the alternative hypothesish
0
h :
0
h
1
0
Determine the type of test statistic to use.
Test Statistic Type (Choose an option)
Find the value of the test statistic:
(Round to three or more decimal places.)
Find the two critical values at the significance level of 0.05;
(Round to three or more decimal places).
and
(and) at the level of 0.05 Can the company conclude that the mean assembly times
for the two processes differ?
O Yeah O No
μ
X
0=0
о р
X
S
OSO
0#0 0<0
<Q
5
010
ロミロ
Transcribed Image Text: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 selecting12workers 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
0
1
71
79
2
52
52
-8 0
3
49
43
6
4
41
58
- 17
5
6
fifty 76
40
49
10 27
7
(to) Formulate the null hypothesish and the alternative hypothesish 1.
:0
89
83
6
8
70 84
9
74 67
-4 17
μ
XI
10 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 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.
a
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
54
35 61 65
67
twenty-one 2
р
<Q
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