Statistics- Test the hypothesis that the light bulbs have
The following is the life times (unit: years) of a random sample of 10 light bulbs from company X.4.3,3.4,3.36,4.42,4.62,2.5,4.6,3.5,2.92,4.23Assume that the life times of the light bulbs are noramlly distributed.(a) Test the hypothesis that the light bulbs have a mean life time not less than 4 years against thealternative that the mean life time is less than 4 years. Use a 0.05 level of significance.(b) Test the hypothesis that the standard deviation of the light bulbs is 0.75 years against the altemativethat the standard deviation is not 0.75 years. Use a 0.1 level of significance.I need steps too.
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