Question

A sample of 9 days over the past six months showed that a dentist treated the following numbers of patients: 23, 26, 21, 19,Consider the following hypothesis test. Ho :012 = 022 Ha: 012 7022 a. What is your conclusion if n 1 = 21, S 1 2 = 8.5, n 2 =

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Answer #1
Values ( X ) Σ ( Xi- X̅ )2
23 2.0863
26 19.7527
21 0.3087
19 6.5311
16 30.8647
22 0.1975
23 2.0863
19 6.5311
25 11.8639
Total 194 80.2223

Mean X̅ = Σ Xi / n
X̅ = 194 / 9 = 21.5556
Sample Standard deviation SX = √ ( (Xi - X̅ )2 / n - 1 )
SX = √ ( 80.2223 / 9 -1 ) = 3.1667

Test Statistic :-
x = ((n − 1)2)/04
χ2 = ( ( 9-1 ) * 10.028 ) / 10
χ2 = 8.02

Question 2


Test Statistic :-
f = S/S
f = 8.5 / 4
f = 2.13


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