6. Assume that I am testing lightbulbs to ensure that the produced lightbulbs' color temperature (measured in Kelvin) do not have a standard deviation greater than 200 with 95% certainty. I sample 10 lightbulbs and measure the corresponding lumens from each: 1800, 1750, 1800, 1800, 1700, 1600, 1650, 1600, 1600, 1700. a. Set up the null and alternative hypotheses. b. Calculate the appropriate test statistic. c. Use either the p-value approach or the critical value approach to reject or fail to reject the null hypothesis