Answer to Question #212926 in Statistics and Probability for Kapil

Question

An ice cream company claimed that it's product contained 500 calories per pint (on the average mew=500) To test this claim at 1% level of significance

The necessary steps in hypothesis testing are

Answer 1

The necessary steps in hypothesis testing are:

Set up the null and the alternative hypothesis.

$H_0: \mu=500 \\ H_1: \mu ≠500$

Calculate test statistic:

Under the test statistic for one sample t-test is

$t = \frac{\bar{x} - \mu}{s/ \sqrt{n}}$

$\bar{x}$ = sample mean

s = standard deviation

α= level of significance

α=0.01

Find $t_{α/2,n-1}$ by using t-table. You need to know degree of freedom (n-1) and level of significance.

Reject or accept the null hypothesis.

If test statistics $|t| > t_{α/2,n-1}$ , you have sufficient evidence to reject H₀.

Make conclusion.