SCREEN PRINTER VERSnow ·BACK A random sample of 109 observations produced a samp

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SCREEN PRINTER VERSnow ·BACK A random sample of 109 observations produced a sample mean of 33 Find the critical and observed values of z for the following test of hypothesis using ·01 The population standard deviation is known to be 8 and the population distribution is normal. Ho: = 28 versus H, : > 28. Round your answers to two decimal places. Zobserved By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. ion Attempts: Unlimited avE FOR LATER SUBNIT ANSWER 4) Q Search or enter website name 4

Explanation / Answer

Solution:

Set Up Hypothesis
Null Hypothesis H0: = 28
Alternate Hypothesis H1: 28
Test Statistic
Population Mean() = 28
Given That X(Mean) = 33
Standard Deviation(S.D) = 8
Number (n) = 109
we use Test Statistic (Z) = x-/(s.d/sqrt(n))
Zo=33-28/(8/sqrt(109)
Zo = 6.5251
| Zo | = 6.5251
Critical Value
The Value of |Z | at LOS 0.1% is 1.64
We got |Zo| = 6.5251 & | Z | =1.64
Make Decision
Hence Value of | Zo | > | Z| and Here we Reject Ho
P-Value : Two Tailed ( double the one tail ) - Ha : ( P != 6.5251) = 0
Hence Value of P0.1 > 0, Here we Reject Ho

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