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1) Whenever hypotheses are established such that the alternative hypothesis is ">", then this would be a _______

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1) Whenever hypotheses are established such that the alternative hypothesis is ">", then this would be a _______.
A. two-tailed test
B. one-tailed test
C. Type II test
D. Type I test

2) If x is uniformly distributed over the interval 8 to 12, inclusively (8 ≤x ≤12), then the probability, P (9

≤x≤11), is __________________.

a) 0.250

b) 0.500

c) 0.333

d) 0.750

e) 1.000

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Answer:

1) Whenever hypotheses are established such that the alternative hypothesis is ">", then this would be a -

ans-> $B)$ one-tailed test

b )Explanation:

Given, ?X∼U(8,12)?

The required probability can be calculated as.

?f(X)=?b−a??1??where,a≤X≤b?

?P(9≤X≤11)=?9?∫?11??f(x)dx?

?=?9?∫?11???12−8??1??dx?

?=?4??1???x??9?11???

?=?4??11−9???

?=?2??1???

?=0.500?

Hence, the required probability is 0.500.

Therefore, the correct answer is option (B).

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1) Whenever hypotheses are established such that the alternative hypothesis is ">", then this would be a _______

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