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

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

Short 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-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

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

explanation

Calculating the hypothesis,

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

role="math" localid="1651657895247" $\Rightarrow H_0:\mu =1000$

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

role="math" localid="1651657899211" $\Rightarrow H_a:\mu <900$

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.