A personal computer manufacturer is interested in comparing the mean assembly times for two keyboard assembly processes. To do this, the company selects 10 workers at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these workers. Then, the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown in the table below. Worker Process 1 Process 2 Difference (Process 1 - Process 2) Send data to calculator V 1 78.3 69.5 2 44.5 48.5 3 79.3 O independent samples O paired (dependent) samples 76.5 4 20.2 38.0 5 46.2 X 83.0 6 48.9 7 5 8 57.8 64.6 9 10 70.0 27.2 24.8 22.0 8.8 -4 2.8 -17.8 -36.8 -8.9 5.4 -39.3 -36.7 -46.9 66.5 61.5 (a) Are the two samples of assembly times independent or paired (dependent) samples? Choose the best answer. 68.9 (b) The company wants to use the data to determine whether the assembly times of the two processes differ. The company will perform a hypothesis test of the mean of the population of differences (Process 1 minus Process 2). The sample mean and standard deviation of the sample of differences in the bottom row are-17.34 and 20.99, respectively. Assume that the population of these differences is approximately normally distributed. Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) (Español Accessibility

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1
!
Determining whether two samples are independent or paired a...
Worker
A personal computer manufacturer is interested in comparing the mean assembly times for two keyboard assembly processes. To do this, the company selects
10 workers at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these
workers. Then, the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown
in the table below.
Process 1
Process 2
Difference
(Process 1 - Process 2)
Send data to calculator v
Explanation
78.3
@2
1
2
69.5
Check
8.8
2
#3
44.5
48.5
3
79.3 20.2
4
76.5 38.0 83.0
5
46.2
$
X
4
6
48.9
07 dº
%
57.8
(a) Are the two samples of assembly times independent or paired (dependent) samples? Choose the best answer.
O independent samples
O paired (dependent) samples
3
5
7
70.0
64.6
-4 2.8 -17.8 -36.8 -8.9 5.4 -39.3 -36.7-46.9
(b) The company wants to use the data to determine whether the assembly times of the two processes differ. The company will perform a hypothesis test
of the mean of the population of differences (Process 1 minus Process 2). The sample mean and standard deviation of the sample of differences in the
bottom row are -17.34 and 20.99, respectively. Assume that the population of these differences is approximately normally distributed.
Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate
computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.)
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8
27.2
9
66.5 61.5
< 6
24.8 22.0
10
MacBook Pro
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7
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▬▬003/5
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Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
00
8
(
-
9
Ayishatu V
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0
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Transcribed Image Text:esc 1 ! Determining whether two samples are independent or paired a... Worker A personal computer manufacturer is interested in comparing the mean assembly times for two keyboard assembly processes. To do this, the company selects 10 workers at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these workers. Then, the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown in the table below. Process 1 Process 2 Difference (Process 1 - Process 2) Send data to calculator v Explanation 78.3 @2 1 2 69.5 Check 8.8 2 #3 44.5 48.5 3 79.3 20.2 4 76.5 38.0 83.0 5 46.2 $ X 4 6 48.9 07 dº % 57.8 (a) Are the two samples of assembly times independent or paired (dependent) samples? Choose the best answer. O independent samples O paired (dependent) samples 3 5 7 70.0 64.6 -4 2.8 -17.8 -36.8 -8.9 5.4 -39.3 -36.7-46.9 (b) The company wants to use the data to determine whether the assembly times of the two processes differ. The company will perform a hypothesis test of the mean of the population of differences (Process 1 minus Process 2). The sample mean and standard deviation of the sample of differences in the bottom row are -17.34 and 20.99, respectively. Assume that the population of these differences is approximately normally distributed. Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) ㅏ 8 27.2 9 66.5 61.5 < 6 24.8 22.0 10 MacBook Pro A 68.9 & 7 A (D)) ▬▬003/5 U * Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility 00 8 ( - 9 Ayishatu V ) 0 0 Español CLC I) - ९ + ✓
esc
!
rence
(Process 1 Process 2)
Send data to calculator
(a) Are the two samples of assembly times independent or paired (dependent) samples? Choose the best answer.
8.8
(b) The company wants to use the data to determine whether the assembly times of the two processes differ. The company will perform a hypothesis test
of the mean of the population of differences (Process 1 minus Process 2). The sample mean and standard deviation of the sample of differences in the
bottom row are - 17.34 and 20.99, respectively. Assume that the population of these differences is approximately normally distributed.
Explanation
-4 2.8 -17.8 -36.8 -8.9 5.4 -39.3-36.7-46.9
independent samples
paired (dependent) samples
Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate
computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.)
@
(z= 0
0
It is unclear which test statistic to use.
Check
#
$
X
65
%
MacBook Pro
6
A
7
***
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
* 00
Español
D
Aa
M
Accessib
Transcribed Image Text:esc ! rence (Process 1 Process 2) Send data to calculator (a) Are the two samples of assembly times independent or paired (dependent) samples? Choose the best answer. 8.8 (b) The company wants to use the data to determine whether the assembly times of the two processes differ. The company will perform a hypothesis test of the mean of the population of differences (Process 1 minus Process 2). The sample mean and standard deviation of the sample of differences in the bottom row are - 17.34 and 20.99, respectively. Assume that the population of these differences is approximately normally distributed. Explanation -4 2.8 -17.8 -36.8 -8.9 5.4 -39.3-36.7-46.9 independent samples paired (dependent) samples Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) @ (z= 0 0 It is unclear which test statistic to use. Check # $ X 65 % MacBook Pro 6 A 7 *** Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center * 00 Español D Aa M Accessib
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