Answer to Question #319348 in Statistics and Probability for Gaile

Question

A company has developed a new battery. The engineering department of the company claims that each battery lasts for 200 minutes. In order to test this claim, the company selects a random sample of 100 new batteries so that this sample has a mean of 190 minutes. Given that the population standard deviation is 30 minutes, test the engineering department’s claim that the new batteries run with an average of 200 minutes. Use 1% level of significance.

1)Which is the correct null hypothesis that can be derived in the situation?

2)Which is the correct alternative hypothesis that can be derived in the situation? 

3)What test will be used based from the given values in the situation?

Answer 1

1. null hypothesis

$\mu$ =200

2. Alternative hypothesis

$\mu$ $\not =$ 200

3. Since we are given the sample size(n=100) standard deviation (s=30) and the sample mean  (190) the most appropriate test is the one sample independent t test.