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You work for a consumer watchdog publication and are testing the advertising claims of a light bulb manufacturer. The manufacturer claims that the life span of the bulb is normally distributed, with a mean of 2000 hours and a standard deviation of 250 hours. You test 20 light bulbs and get the following life spans.
2210
2406
2267
1930
2505
2502
1106
2140
1949
1921
2217
2121
2004
1379
1659
1577
2840
1728
1209
1639
a) Draw a frequency histogram to display these data. Use five classes. Is it reasonable to assume that the life span is normally distributed? Why?
b) Find the mean and standard deviation of your sample.
c) Compare the mean and standard deviation of your sample with those in the manufacturer's claim.
d) Do the data confirm the manufacturer's claim on life span at a 95% level of confidence?
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