Q.9 - 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

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

Step-by-Step Solution

Answer

The problem is correct as the population mean value is $1000$ as per null hypothesis and population mean value is less than $1000$ as per 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

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

Step 2: explanation

Calculating the hypotheses,

population mean value = $1000$ as per null hypothesis

$\Rightarrow H_0:\overline{x}=1000$

population mean value is less than $1000$ as per the alternative hypothesis 

$\Rightarrow H_a:\overline{x}<1000$

The problem is correct as the population mean value is $1000$ as per null hypothesis and population mean value is less than $1000$ as per alternative hypothesis,