article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment involving I = 4 types of boxes. Туре of Box Compression Strength (Ib) Sample Mean Sample SD 655.5 788.3 734.3 721.4 679.1 699.4 713.00 46.55 789.2 772.5 786.9 686.1 732.1 774.8 756.93 40.34 737.1 639.0 696.3 671.7 717.2 727.1 698.07 37.20 535.1 628.7 542.4 559.0 586.9 520.0 562.02 39.87 opose that the compression strength observations on the fourth type of box had been 657.1, 750.7, 664.4, 681.0, 708.9, and 642.0 (obtained by adding 122 to each previous x). Assuming no change in the remaining observations, carry out an Ft te the appropriate hypotheses. H: at least two u's are equal Ho: H = H2 = H3 = H4 H: at least two u's are unequal Ho: Hg = H2 = H3 = H4 H: all four 's are unequal H.: all four u's are equal

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
100%
An article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment involving I = 4 types of boxes.
Туре of Box
Compression Strength (Ib)
Sample Mean Sample SD
1
655.5 788.3 734.3 721.4 679.1 699.4
713.00
46.55
2
789.2 772.5 786.9 686.1
732.1 774.8
756.93
40.34
3
737.1 639.0 696.3 671.7
717.2 727.1
698.07
37.20
535.1 628.7 542.4 559.0 586.9 520.0
562.02
39.87
Suppose that the compression strength observations on the fourth type of box had been 657.1, 750.7, 664.4, 681.0, 708.9, and 642.0 (obtained by adding 122 to each previous x). Assuming no change in the remaining observations, carry out an F test with a = 0.0
State the appropriate hypotheses.
O Ho: H1 * M2 # Hz# H4
H: at least two u's are equal
Ho: Hq = Hz = Mz =H4
H: at least two µ's are unequal
O Ho: H1 = H2 = !3= H4
H: all four u,'s are unequal
O Ho: H1 # 42 # Hz# H4
H: all four u's are equal
Calculate the test statistic. (Round your answer to two decimal places.)
f = 3.34
Transcribed Image Text:An article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment involving I = 4 types of boxes. Туре of Box Compression Strength (Ib) Sample Mean Sample SD 1 655.5 788.3 734.3 721.4 679.1 699.4 713.00 46.55 2 789.2 772.5 786.9 686.1 732.1 774.8 756.93 40.34 3 737.1 639.0 696.3 671.7 717.2 727.1 698.07 37.20 535.1 628.7 542.4 559.0 586.9 520.0 562.02 39.87 Suppose that the compression strength observations on the fourth type of box had been 657.1, 750.7, 664.4, 681.0, 708.9, and 642.0 (obtained by adding 122 to each previous x). Assuming no change in the remaining observations, carry out an F test with a = 0.0 State the appropriate hypotheses. O Ho: H1 * M2 # Hz# H4 H: at least two u's are equal Ho: Hq = Hz = Mz =H4 H: at least two µ's are unequal O Ho: H1 = H2 = !3= H4 H: all four u,'s are unequal O Ho: H1 # 42 # Hz# H4 H: all four u's are equal Calculate the test statistic. (Round your answer to two decimal places.) f = 3.34
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman