BatCo (The Battery Company) produces your typical consumer battery. The company claims that their batteries last at least 100 hours, on average. Your experience with the BatCo battery has been somewhat different, so you decide to conduct a test to see if the companies claim is true. You believe that the mean life is actually less than the 100 hours BatCo claims. You decide to collect data on the average battery life (in hours) of a random sample and the information related to the hypothesis test is presented below.
Hypothesized mean 100.0
Sample mean 98.5
Std error of mean 0.777
Degrees of freedom 19
t-test statistic -1.932
p-value 0.034
1. You believe that the mean life is actually less than 100 hours, should you conduct a one-tailed or a two-tailed hypothesis test?
2. What is the sample mean of this data?
3. If you use a 5% significance level, would you conclude that the mean life of the batteries is typically less than 100 hours?
4. If you were to use a 1% significance level in this case, would you conclude that the mean life of the batteries is typically less than 100 hours?