This is a full hypothesis test by hand from chapter 6. You…
This is a full hypothesis test by hand from chapter 6. You should use stat key only to find the p-value after you get your test statistic value. On your work sheet, number this problem 4 and show your work/notation as directed below. A company just made a production run of light bulbs using a new design. As part of a quality test they collected a random sample of 35 lightbulbs and tested them and found a sample mean lifespan of 3845 hours with a standard deviation of 330 hours. Perform the 4 steps below ( 4 blanks) to conduct a hypothesis test to see if at the 5% significance level we can conclude the population mean lifespan of the newly designed bulbs is lower than the 4000 hour population mean they had with the prior designed bulbs. Blank 1: Write the hypotheses. On your work sheet show the hypotheses using good notation. For the blank online, just type in a sentence describing your alternative hypothesis. Blank 2: On your work sheet, show the work, including the formula you use and the values you plug in, to calculate the test statistic. Truncate your answer at the third decimal digit as I did in my videos. Online in blank 2, just type in your final test statistic value you calculated on the work sheet. Blank 3: Online give the p-value you find on stat key using the appropriate theoretical distribution. You can access stat key at lock5stat.com. Include all the digits they show. On your work sheet, please include a sketch of the stat key display to support your answer. Blank 4: No work needed on the work sheet. Type in your conclusion of the test in context.