Duracell, a well-known company that produces batteries, continually wants to compare their product to those of their competitors so they can keep running their pink rabbit commercials without question. You have been assigned the task of taking a random sample of thirty-five (35) Duracell batteries and a random sample of thirty-five (35) competitor E batteries. You drain each battery in the same fashion and record the time to failure (in minutes). Your summarized findings can be found in the Assignment #4 Excel file. Test the hypothesis at the .01 level that Duracell is in fact a longer-lasting battery. In this case, the population variances are not known. 1) State the Null hypothesis (Ho) in both words and in numerical form. (1 mark) 2) State the Alternative Hypothesis (Ha) in both words and in numerical form. (1 mark) 3) What kind of test you will use to test the hypothesis? (Z or T, 1 tail or 2 tail) (2 marks) 4) Calculate the appropriate test statistic using Excel. (4 marks) 5) What is your conclusion based on the statistical results? State the conclusion using hypothesis language as well as in the context of the problem

Data:

Battery #	Duracell Time To Fail	Competitor "E" Time to Fail
1	105	155
2	140	115
3	116	116
4	140	106
5	141	155
6	143	145
7	139	118
8	149	133
9	147	135
10	108	144
11	146	127
12	142	124
13	148	125
14	125	154
15	134	102
16	140	150
17	129	159
18	126	156
19	123	148
20	122	108
21	142	152
22	137	128
23	147	118
24	145	132
25	132	158
26	132	143
27	123	102
28	133	129
29	133	108
30	147	101
31	143	119
32	134	124
33	136	156
34	107	159
35	111	137