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

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

Short 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-by-step solution

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

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

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,