Rejection Region and Critical Values #2

Question

A random sample of 250 bottles of juice drink were taken and was

found to have an average content that is fess than the company’s claim

that each bottle contains 500 mL of juice drink. Suppose that an

appropriate test statistic revealed a value of -1.75, is there enough

evidence to support their claim at 95% confidence? Sketch the rejection

region and locate test statistic value.

Answer 1

Assuming the test statistic you are speaking of is the z-statistic For a 95% level of confidence, the level of significance is 0.05. The critical value for 0.05 is -1.96. The rejection region for the test statistic is < -1.96. Therefore there is not enough evidence to reject the company's claim that each bottle contains 500 ml of juice drink.