## Introduction to Mathematical Statistics |

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Page 254

Since the values 0 - 75 are

9 × 75 is called the

the

Since the values 0 - 75 are

**alternatives**to those where 0 < 75, the hypothesis H1:9 × 75 is called the

**alternative**hypothesis. Needless to say, Ho could be calledthe

**alternative**to H1; however, the conjecture, here 6 - 75, which is made by the ...Page 271

That is, a best critical region for testing the simple hypothesis against an

region for testing Ho: 6 = 9" against the

say.

That is, a best critical region for testing the simple hypothesis against an

**alternative**simple hypothesis, say, 6 = 8' + 1, will not serve as a best criticalregion for testing Ho: 6 = 9" against the

**alternative**simple hypothesis 0 = 0 – 1,say.

Page 285

Example 1. Let the random variable X be n(01, 62) and let the parameter space

be Q = {(01, 62); -oo o 0, 3 o, 0 < 0, ... oo). Let the composite hypothesis be Ho: 6,

= 0, 62 - 0, and let the

Example 1. Let the random variable X be n(01, 62) and let the parameter space

be Q = {(01, 62); -oo o 0, 3 o, 0 < 0, ... oo). Let the composite hypothesis be Ho: 6,

= 0, 62 - 0, and let the

**alternative**composite hypothesis be H1: 61 # 0, 62 > 0.### What people are saying - Write a review

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