Question

A sample of 50 cell phone battery chargers from a company has an average charging time of 90 minutes. The company introduces a new product with an average charging time of 25 minutes. The company wants to test if the new product has a significantly different charging time than the previous product. The significance level is 0.05. What is the appropriate hypothesis test for this situation?

1) One-sample t-test
2) Two-sample t-test
3) Paired t-test
4) Chi-square test

Answer 1

The appropriate hypothesis test for this situation is 1) One-sample t-test.

Step-by-step explanation:

The appropriate hypothesis test for this situation is 1) One-sample t-test. The one-sample t-test is used when you have one sample and want to compare the mean of that sample to a known value or hypothesized mean. In this case, the company wants to test if the new product (sample) has a significantly different charging time than the previous product (known value). To conduct a one-sample t-test, you would set up the null hypothesis (H0) that the mean charging time of the new product is equal to the mean charging time of the previous product, and the alternative hypothesis (Ha) that the mean charging time of the new product is significantly different from the mean charging time of the previous product. Then, you would calculate the t-statistic and p-value using the sample data and compare the p-value to the significance level (0.05) to make a conclusion.