Problem 4 Null Hypothesis: Alternate Hypothesis: p-value = Conclusion: There (is, is not) sufficient evidence to conclude that the sample mean is greater than 69 inches. We can conclude with 95% confidence that the mean height is between and inches. Our point estimate of the mean height is QUESTIONS 1 THROUGH 4 ARE BASED ON THE FOLLOWING INFORMATION: 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 Std error of mean Degrees of freedom 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? 5. Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies. A 90% confidence interval for the difference between the proportions of unacceptable assemblies generated by the two teams has a Lower limit = -0.0155, and Upper limit = 0.0943. Based on the confidence interval, is there sufficient evidence to conclude that the two teams differ with respect to their proportions of unacceptable assemblies