Copyright

Suppose X ? N ( ? , 36 ) . From a sample of size n = 16, we wish to test H 0 : ? = 5 v s . H...

Question:

Suppose {eq}X \sim N(\mu , 36) {/eq} . From a sample of size n = 16, we wish to test {eq}H_0: \mu = 5 vs. H_1: \mu > 5 {/eq}

a. What is the rejection region for a test of size .05?

b. What is the power of your test if mu = 6?

Power of a test

Power of the test defines the probability that the null hypothesis would be rejected correctly. This infers that alternate hypothesis was true and hence the null is correctly rejected. It is calculated as the complement of the type II error rate, which defines the probability of accepting the null hypothesis given it is false.

Answer and Explanation:

Given Information

{eq}X \sim N\left( {\mu ,36} \right) {/eq}

Sample size is 16 (n)

Hypotheses is given as,

{eq}\begin{align*} {H_o}:\mu =...

See full answer below.

Become a www.heiqigong.com member to unlock this answer! Create your account

View this answer

Learn more about this topic:

Loading...
Type I & Type II Errors in Hypothesis Testing: Differences & Examples

from Statistics 101: Principles of Statistics

Chapter 10 / Lesson 4
32K

Related to this Question

Explore our homework questions and answers library

福建福彩网 天水市 永康市 成都市 商洛市 大庆市 镇江市 临夏市 阜新市 巴中市 萍乡市 崇州市 邓州市 平度市 河津市 台中市 衡水市 明光市 凤城市 吉林省 石首市 龙海市 黄石市 叶城市 都匀市 武穴市 朝阳市 青岛市 凤城市 葫芦岛市 仙桃市 合肥市 孝感市 邢台市 兴城市 平度市 利川市 洮南市 信阳市 常州市 宁国市 南阳市 徐州市 北宁市 邢台市 鹿泉市 池州市 北宁市 台中市 华阴市 延吉市 铁力市 兴城市 淮安市 汉川市 东阳市 焦作市 西安市 佛山市 潍坊市 甘肃省