Q.10 - The Practice of Statistics for AP

Question

In planning a study of the birth weights of babies whose mothers did not see a

doctor before delivery, a researcher states the hypotheses as

$\begin{array}{c}{H}_0:\mu <1000\text{ grams }\\ H_a:\mu =900\text{ grams }\end{array}$

Step-by-Step Solution

Answer

The problem is incorrect as the population mean value is $1000$ as per the null hypothesis and is less than $900$ as per the alternative hypothesis. 

Step 1: introduction

Given,

In planning a study of the birth weights of babies whose mothers did not see a

doctor before delivery, a researcher states the hypotheses as

$\begin{array}{r}{H}_0:\mu <1000\text{ grams }\\ H_a:\mu =900\text{ grams }\end{array}$

Step 2: explanation

Calculating the hypothesis,

 population mean value is $1000$ as per the null hypothesis

$\Rightarrow H_0:\mu =1000$ 

population mean value is less than $900$ as per the alternative hypothesis

$\Rightarrow H_a:\mu <900$

The problem is incorrect as the population mean value is $1000$ as per the null hypothesis and is less than $900$ as per the alternative hypothesis.