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# MA260 Statistical Analysis1 (Example)

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ASSIGNMENT 08:MA260 Statistical Analysis I NAME INSTITUTION AFFILIATION DATE MA260 Statistical Analysis I 1. A recent article in the Myrtle Beach Sun Times reported that the mean labor cost to repair a color television is \$90 with a standard deviation of \$22. Monte&amp;rsquo;s TV Sales and Service completed repairs on two sets this morning. The labor cost for the first was \$75 and it was \$100 for the second. Compute z values for each and comment on your findings. Solution Mean=90 Standard deviation=22 Z value for first labor cost= (75-90)/22= -0.6818 Z value for the second labor cost= (100-90)/22= 0.4545 -0.6818 means the value \$75 is 0.6818 standard deviations below the population mean while 0.4545 means (z less than 0.515) – prob (Z greater than -1.751) =0.6985-0.0401=0.6584 5. An Air Force study indicates that the probability of a disaster such as the January 28 1986 explosion of the space shuttle Challenger was 1 in 35. The Challenger flight was the 25th mission.a. How many disasters would you expect in the first 25 flights? Solution P=1/35 E(x)=np 25*1/35= 5/7 since the disasters can never be a fraction we round off to whole then the number of disasters is 1.b. Use the normal approximation to estimate the probability of at least one disaster in 25 missions. Solution Prob (x≥ 1) is approximately the prob(x greater than 0.5) =prob (Z greater than -0.257) =0.602 [...]

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03.05.2017

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