MAT-156-001-MML+SP18 Statistics (MyLab) (3 or) - Sue Grapevine Homework: Samplin

Question

MAT-156-001-MML+SP18 Statistics (MyLab) (3 or) - Sue Grapevine Homework: Sampling Distributions Practice Activity w score: 54.76%, 23 of 42 pts Nert Ouetetionetion Help 0 4-14 of 19 (11 complete) | Score: 0 of 3 pts 6.5.17-T A ski gondola carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 16 people cr 2656 ib. That capacity will be exceeded if 16 people have weights with a mean greater than 1661b. Assume that weights of passengers are normally distributed with a mean of 177.4 lb and a standard deviation of 43.2 lb Complete parts a 2656 Ib through c below a. Find the probability that if an individual passenger is randomly selected, their weight will be greater than 166 Ib (Round to four decimal places as needed.) Enter your answer in the answer box and then celick Check Answer.

Explanation / Answer

Here we need to find P(x>166)

Given

Mean =177.4

Standard deviation=43.2

Now we convert x into z score by using formula

Z= (value - mean )/standard deviation

Z=(166-177.4)/43.2

Z= -0.2638

So Z=-0.26

Now we need to find P(Z>-0.26)= 1-P(Z<-0.26)

=1-0.3959

=0.6041

So P(x>166)=0.6041

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