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 a random sample of 8 workers 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 1 2 4 5 6 8 Process 1 84 79 74 58 78 41 50 62 56 41 82 18 17 Process 2 83 57 22 49 54 Difference 1 (Process 1- Process 2) 1 8 22 – 4 19 Send data to calc. v Based on these data, can the company conclude, at the 0.01 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding H, (which is u 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.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) V OSO (c) Find the value of the test statistic. (Round to three or more decimal places.)
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 a random sample of 8 workers 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 1 2 4 5 6 8 Process 1 84 79 74 58 78 41 50 62 56 41 82 18 17 Process 2 83 57 22 49 54 Difference 1 (Process 1- Process 2) 1 8 22 – 4 19 Send data to calc. v Based on these data, can the company conclude, at the 0.01 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding H, (which is u 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.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) V OSO (c) Find the value of the test statistic. (Round to three or more decimal places.)
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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![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 a random sample of 8 workers 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 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|--------------|----|----|----|----|----|----|----|----|
| **Process 1** | 84 | 79 | 74 | 58 | 78 | 41 | 50 | 62 |
| **Process 2** | 83 | 57 | 56 | 41 | 82 | 22 | 49 | 54 |
| **Difference (Process 1 - Process 2)** | 1 | 22 | 18 | 17 | -4 | 19 | 1 | 8 |
Based on these data, can the company conclude, at the 0.01 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding \( \mu_d \) (which is \(\mu\) 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.)
(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\[
H_0: \square
\]
\[
H_1: \square
\]
(b) Determine the type of test statistic to use.
- Type of test statistic: \[ \text{(Choose one)} \, \square \]
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \square \]
(d) Find the two critical values at the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febcf9de3-24cc-40b0-a023-15a9096e4963%2F218644ea-a3b7-4573-a0bd-79c6128aca27%2Fuh98jdd_processed.png&w=3840&q=75)
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 a random sample of 8 workers 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 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|--------------|----|----|----|----|----|----|----|----|
| **Process 1** | 84 | 79 | 74 | 58 | 78 | 41 | 50 | 62 |
| **Process 2** | 83 | 57 | 56 | 41 | 82 | 22 | 49 | 54 |
| **Difference (Process 1 - Process 2)** | 1 | 22 | 18 | 17 | -4 | 19 | 1 | 8 |
Based on these data, can the company conclude, at the 0.01 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding \( \mu_d \) (which is \(\mu\) 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.)
(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\[
H_0: \square
\]
\[
H_1: \square
\]
(b) Determine the type of test statistic to use.
- Type of test statistic: \[ \text{(Choose one)} \, \square \]
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \square \]
(d) Find the two critical values at the
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