Q.4 - The Practice of Statistics for AP

Question

Haemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People with less than 12 grams of haemoglobin per deciliter of blood (g/dl) are anaemic. A public health official in Jordan suspects that Jordanian children are at risk of anaemia. He measures a random sample of 50 children.

Step-by-Step Solution

Answer

The mean value for haemoglobin is$12$g/dl as per null hypothesis and the mean value is greater than$12$g/dl.  

Step 1: introduction

Given,

Haemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People with less than$12$ grams of haemoglobin per deciliter of blood (g/dl) are anaemic. 

Step 2: explanation

calculating the null and alternative hypotheses

mean value for haemoglobin is $12$g/dl as per null hypothesis

$\Rightarrow H_0:\mu =12$

mean value for haemoglobin is greater than $12$ g/dl as per alternative hypothesis

$\Rightarrow H_a:\mu <12$

The mean value for haemoglobin is $12$ g/dl as per null hypothesis and the mean value is greater than $12$ g/dl.