Question

The standard deviation of pulse rates of adult males is more than 11 bpm. For the random sample of 153 adult males the pulse rate have a standard deviation of 11 .3 bpm. Find the value of the test statistic.

Answer 1

Answer: 160.4040

Step-by-step explanation:

Here , the claim is "The standard deviation of pulse rates of adult males is more than 11 bpm." , i.e. $\sigma>11$

We use Chi-square test statistic for the test statistic to test the standard deviations :

$\chi^2=\dfrac{(n-1)s^2}{\sigma^2}$ , where s= sample standard deviation , $\sigma$ = population standard deviations and n = sample size.

As per given , n=153 , s= 11.3

Then, Required test statistic will be :

$\chi^2=\dfrac{(153-1)(11.3)^2}{11^2}=\dfrac{152\times127.69}{121}\approx160.4040$

Hence, the value of the test statistic. =  160.4040