w-Hill Connect Math nect MATH Hosted by ALEKS Corp. 6.3 Homework Previous 1 2 3

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w-Hill Connect Math nect MATH Hosted by ALEKS Corp. 6.3 Homework Previous 1 2 3 4 5 6 Next Question 5 of 6 (1 point) 6.3 Section Exercise 16 (calc A recent study of the lifetimes of cell phones found the average is 23 months. The standard deviation is 5.6 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population and the correction factor can be ignored. Use a graphing calculator and round the answer to four decimal places. P (X

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =5.6/(33)1/2 =0.9748

therfore P(Xbar<23.8)=P(Z<(23.8-23)/0.9748)=P(Z<0.8207)=0.7941

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