The following dataset contains a random sample of lifetime of120 BMW Xenon headlight bulbs. The manufacturer of these bulbswants to know whether it can claim that the bulbs last more than1000 hours. Use a=0.01
| 93 | 1053.74 |
| 94 | 1032.37 |
| 95 | 1003.42 |
| 96 | 908.74 |
| 97 | 1037.92 |
| 98 | 1096.83 |
| 99 | 1169.07 |
| 100 | 842.85 |
| 101 | 1038.22 |
| 102 | 973.30 |
| 103 | 996.08 |
| 104 | 984.70 |
| 105 | 989.44 |
| 106 | 1023.07 |
| 107 | 1047.95 |
| 108 | 1073.63 |
| 109 | 1021.51 |
| 110 | 977.27 |
| 111 | 928.44 |
| 112 | 910.28 |
| 113 | 990.68 |
| 114 | 1043.82 |
| 115 | 1038.36 |
| 116 | 1023.51 |
| 117 | 1026.85 |
| 118 | 987.21 |
| 119 | 1053.35 |
| 120 | 1077.91 |
a)Formulate the hypotheses.
b)What is the value of the test statistic?
c)What are the critical values of the test?
d)Find the p-value of the test.
e)What is your conclusion? Explain it in the context of theproblem.
