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u work for a consumer watchdog publication and are testing the advertising claim

ID: 2946667 • Letter: U

Question

u work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufacturer claims that the life spans of the tires are normally distributed,with a mean of 40,000 les and a standard deviation of 4000 miles. You test 16 tires and get the following life spans. Complete parts (a) through (c) below 47,723 41.4a9 26,020 37,452 33,779 41.616 40,875 37,715? 25,829 34,237 38.286 38,616 33,866 36,058 35,404 47,433 Draw a frequency histogram to display these data. Use five classes. Choose the correct answer below

Explanation / Answer

b) Sample mean = (47723 + 41489 + 26020 + 37452 + 33779 + 41616 + 40875 + 37715 + 25829 + 34237 + 38286 + 38616 + 33866 + 36058 + 35404 + 47433)/16 = 37274.9

Sample standard deviation = sqrt(((47723 - 37274.9)^2 + (41489 - 37274.9)^2 + (26020 - 37274.9)^2 + (37452 - 37274.9)^2 + (33779 - 37274.9)^2 + (41616 - 37274.9)^2 + (40875 - 37274.9)^2 + (37715 - 37274.9)^2 + (25829 - 37274.9)^2 + (34237 - 37274.9)^2 + (38286 - 37274.9)^2 + (38616 - 37274.9)^2 + (33866 - 37274.9)^2 + (36058 - 37274.9)^2 + (35404 - 37274.9)^2 + (47433 - 37274.9)^2)/15) = 6113.9

c) Option - A is correct.