Discuss the below:
A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is the standard process used for several years, and Process 2 is an updated process hoped to bring a decrease in assembly time. 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 Table
Table
|
Worker
|
Process 1
|
Process 2
|
Difference (Process 1 - Process 2)
|
|
1
|
60
|
61
|
-1
|
|
2
|
38
|
33
|
5
|
|
3
|
47
|
30
|
17
|
|
4
|
36
|
20
|
16
|
|
5
|
49
|
51
|
-2
|
|
6
|
75
|
76
|
-1
|
|
7
|
47
|
25
|
22
|
|
8
|
41
|
32
|
9
|
|
|
|
|
|
Based on these data, can the company conclude, at the level of significance, that the mean assembly time for Process 1 exceeds that of Process 2? Answer this question by performing a hypothesis test regarding , 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 one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table
1. What is the null hypothesis? Ho:
2 What is the alternative hypothesis? Hi:
a The test statistic 't" is how many degrees of freedom?
4. What is the value of the test statistic?
5. The critical value at the 0.01 level of sigritcance?