Question

cite five situataion in your community where you can apply hypothesis testing

Answer 1

Situations in my community where I can apply testing of hypothesis:

(1) Suppose we want to test average height of a class to see whether it is $N(\mu_1,\sigma^2)\ or\ N(\mu_0,\sigma^2)$

where $\mu_1=$ Population mean of student height in $H_1$ (Alternate hypothesis)

and $\mu_2=$ Population mean of student height under $H_0$ (Null hypothesis)

(2) If we want to see average weight of a community of people whether it came from normal distribution with $N(\mu_1,\sigma^2)\ or\ N(\mu_0,\sigma^2)$ ; then we can set up a hypothesis here.

(3) Average lifetime of a bulb

Here average lifetime (say X) $\sim$ poisson($\lambda$) to see whether it is null or alternate hypothesis

(4) Consider a person in a group of people to have tumor. We have to find him.

Let X be the number of minutes we have taken to find that person.

Then X ~ poi (p) ; X = 0, 1, 2, .....

p = probability of finding that person

then, $H_0:X\sim poi(p_0)\ \ \ v/s\ \ \ \ H_1:X\sim poi(p_1)$

(5) Suppose we want to see average income of a group of people whether it follows $N(\mu_1,\sigma^2)\ or\ N(\mu_0,\sigma^2)$ then we can set up hypothesis.