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Q.10

Expert-verifiedFound in: Page 546

Book edition
4th

Author(s)
David Moore,Daren Starnes,Dan Yates

Pages
809 pages

ISBN
9781319113339

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

$\begin{array}{c}{H}_{0}:\mu <1000\text{grams}\\ {H}_{a}:\mu =900\text{grams}\end{array}$

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.

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

$\begin{array}{r}{H}_{0}:\mu <1000\text{grams}\\ {H}_{a}:\mu =900\text{grams}\end{array}$

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.

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