(a) State the null hypothesis H, and the alternative hypothesis H. Ho H :0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.) (e) At the 0.01 level, can the company conclude that the mean assembly time for Process 2 exceeds that of Process 1? Yes ONo

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
icon
Related questions
Question

A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is an updated process hoped to bring a decrease in assembly time, while Process 2 is the standard process used for several years. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of 10 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.

 

Based on these data, can the company conclude, at the 0.01 level of significance, that the mean assembly time for Process 2 exceeds that of Process 1? Answer this question by performing a hypothesis test regarding μd (which is μ 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 one-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.)

Difference
Worker Process 1 Process 2
(Process 1 - Process 2)
1
73
86
- 13
2
50
80
-30
37
54
-17
4
76
63
13
5
48
51
-3
48
61
- 13
-
7
38
59
-21
8
76
82
-6
86
75
11
10
46
66
-20
3.
Transcribed Image Text:Difference Worker Process 1 Process 2 (Process 1 - Process 2) 1 73 86 - 13 2 50 80 -30 37 54 -17 4 76 63 13 5 48 51 -3 48 61 - 13 - 7 38 59 -21 8 76 82 -6 86 75 11 10 46 66 -20 3.
(a) State the null hypothesis H, and the alternative hypothesis H .
Ho
H :
0
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)
(e) At the 0.01 level, can the company conclude that the mean assembly time for Process 2
exceeds that of Process 1?
O Yes ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H . Ho H : 0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.) (e) At the 0.01 level, can the company conclude that the mean assembly time for Process 2 exceeds that of Process 1? O Yes ONo
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning