Question

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The average life a manufacturer's blender is 5 years, with a standard deviation of 1 year. Assuming that the lives of these blenders follow approximately a normal distribution, find the probability that the mean life a random sample of 25 such blenders falls between 4.5 and 5.2 years. tudy resource wa ia CourseHero.com a) 0.1587 b) 0.8413 c) 0.8351 d)0.2707 e)0.1649 f) None of the above.

Answer 1

solutions Givent n=25 u=5 l S441XNN(1162) 15 CX<5.2) 6.5 -5 52-5 = 44 <40) - 6. = P(-0.5 ( 220.2) Ep(260.2) - p(22-0.5.) - hist12241 24201 = 0.5792 - 0.3085 table 30.2707 12C4.5(x (5.2) = 0.2707 The probobility that the mean life of a rundom! sample of 25 such blenders folls between 1 14.5 and siz_years_js 0.2707 bat Answer 0. 2707