You work in Washington, DC, and you are looking forward to enjoying the day off on the federal holidays. There are high chances
of snow in Washington, DC, from November to March. What is the sample space for the federal holidays that could occur during a winter snow storm in Washington, DC
1 answer:
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Answer:
a) The 99% of Control limits are
316.36 < µ< 333.64
b) Lower limit : = 316.36
Step-by-step explanation:
<u>Explanation</u>:-
<u>Step(i</u>)
<em>Given the sample size 'n' = 20</em>
<em>Given the sample mean 'x⁻' = 325minutes</em>
Suppose we know that the run time is approximately normal with variance 225 minutes
Population variance 'σ²' = 225 minutes
<em>Standard deviation of the population 'σ' = √</em>225 = <em>15</em>
<em>Level of significance ∝ = 0.99</em>
<em><u>Step(ii):</u></em>-
<u><em>99% of confidence intervals of the mean is determined by</em></u>
<u><em /></u><u><em /></u>
<u><em>The z-score of 99% of confidence intervals =2.576</em></u>
<u><em /></u><u><em /></u>
on calculation, we get
(325 - 8.640 , 325 + 8.640)
<u>99% of Control limits are </u>
316.36 < µ< 333.64
Lower limit : 325 - 8.640 = 316.36
upper limit : 325 + 8.640 = 333.64
<u>Conclusion</u>:-
a) The 99% of Control limits are
316.36 < µ< 333.64
b) Lower limit : = 316.36
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