Question

The operations manager of a manufacturer of television remote controls wants to determine which batteries last the longest in his product. He took a random sample of his remote controls and tested two brands of batteries. Here are the number of minutes of continuous use before the batteries failed for each brand. Is there statistical evidence of a difference in longevity between the two batteries?

Battery 1 106 111 109 105

Battery 2 125 103 121 118

Answer 1

Answer Date: 07/04/2019 To test the hypothesis is that there is a difference in longevity between the two batteries at 5% significance level. The null and alternative hypothesis is, The t-test statistics is, By using Excel software, find t-test statistics with the help of following steps 1) Import the data. 2) Select t-test: Two Sample Assuming Equal Variances from Data Analysis in Data menu 3) Select Variable 1 Range and Variable 2 Range. 4) Give Hypothesized Mean Difference. 5) Select Labels and give Alpha 6) Choose Output Range from Output options. 7) Click Ok.

t-Test: Paired Two Sample for Means Battery 1 Battery 2 107.75116.75 92.25 4 Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<-t)two-tail tCritical two-tail 7.583333333 4 0.721507709 0 1.532261755 0.111490547 2.353363435 0.222981094 3.182446305 From the Excel output, the t-test statistics is-1.532 The p-value for this test is, From the Excel output, thep-value for this test is 0.2230 1