An LED bulb manufacturer (Manufacturer 1) wants to determine whether the length of life for their 6-watt bulbs is greater than that of his closest competitor (Manufacturer 2). 40 bulbs from each manufacturer are taken, and the life of the bulb is recorded in a spreadsheet. The spreadsheet is attached to this assignment.

Instructions

• Establish the appropriate hypotheses and perform the appropriate two-sample test at a 5% level of significance.
• In a Microsoft Word document, answer the following questions:
  • What are the null and alternative hypotheses for the test?
  • With 95% confidence, does the evidence support that the life of Manufacturer 1's builds exceeds that of Manufacturer 2?
• On the second page of the same document, write a brief professional memo to Manufacturer 1's senior management team that summarizes your conclusions in a way that someone who is not educated on statistical practices can understand the implications of your findings

Manufacturer	Life	Manufacturer	Life
1	6840	2	8190
1	8310	2	9070
1	8590	2	9520
1	8930	2	9940
1	9220	2	10160
1	9390	2	10380
1	9720	2	10960
1	10160	2	11530
1	6970	2	8360
1	8350	2	9120
1	8600	2	9590
1	8990	2	10040
1	9240	2	10180
1	9430	2	10720
1	9770	2	11000
1	10410	2	11540
1	7200	2	8880
1	8480	2	9180
1	8680	2	9620
1	9050	2	10050
1	9260	2	10200
1	9460	2	10770
1	9840	2	11130
1	10520	2	11740
1	7730	2	8970
1	8520	2	9420
1	8700	2	9860
1	9090	2	10070
1	9260	2	10220
1	9540	2	10770
1	10050	2	11130
1	10800	2	11880
1	8210	2	9030
1	8520	2	9430
1	8760	2	9920
1	9110	2	10150
1	9380	2	10340
1	9710	2	10820
1	10140	2	11160
1	10930	2	12300