Math 308 Fall 2017 Homework 16 (50 points) The legibility of two versions (V1, V

Question

Math 308 Fall 2017 Homework 16 (50 points) The legibility of two versions (V1, V2) of a dial was investigated. 60 pilots and navigators with over 1800 hours of flying time were randomly assigned to one of two group-each group read one of the dials. Pictures of a dial were projected on a sereen for 0.5 seconds. Each subject saw 100 settings of a dial The dependent variable was a transformation of the number of reading errors made by a pilot. Complete the five-step hypothesis procedure for ANOVA for testing the equality of the two means. Sample 1 (VI) Sample 2 (V2) 10

Explanation / Answer

Step1:

Null hypothesis:

Ho: sample1and sample2means are equal:

Alternative Hypothesis:

H1: sample 1 mean is different from sample2 mean.

alpha=0.05

Step2:

Test statistic:

F=67.05202

Step3:

Deccsion rule:'if p<0.05 reject Null hypothesis

if p>0.05 Fail to reject Null hypothesis

Step4:

p=2.639*10^-11

p=0.000

p<0.05

Reject Null hypothesis

'Accept Alternative Hypothesis

STep5:

Conclsuion:

There is not suffiucient statistical evidence at 5% level of significance to conclude the equality of the two means.

Both smaple means are different.

Dat used:

sample1 sample2 9 5 6 6 8 5 7 9 8 3 5 5 6 6 8 5 7 4 8 3 9 5 6 6 7 5 7 4 8 3 9 5 6 7 8 5 7 4 8 3 10 5 6 6 8 5 7 4 8 3 9 5 6 6 8 5 7 4 8 3

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