Assignment:
Each of fifteen 60-watt lightbulbs has been randomly placed into an outlet for which the voltage is 3 volts below the line voltage, 2 volts below the line voltage, or equal to the line voltage. The following data are the lifetimes of the bulbs, expressed in days of continuous use.
Three volts below line 58 63 46 57 51
Volts below line 46 59 51 46 42
Two Equal to line voltage 52 48 38 48 42
a. What are the null and alternative hypotheses for this test?
b. Use ANOVA and the 0.01 level of significance in testing the null hypothesis identified in part (a).
c. For each sample, construct the 95% confidence interval for the population mean.
Provide complete and step by step solution for the question and show calculations and use formulas.