MATH 1030 Quiz 6 11/1/2017 1. An elevator has a placard stating that the maximum

Question

MATH 1030 Quiz 6 11/1/2017 1. An elevator has a placard stating that the maximum capacity is 1848 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 1848 , 12-154 pounds. If the elevator is loaded with 12 adult male passengers Find the probability that it is overloaded because they have a mean weight greater than 154 lb Assume that weights of males are normally distributed with a mean of 160 ib and a standard deviation of 29 lb.) a. b. Does this elevator appear to be safe? When two births are randomly selected, the sample space for genders is bb, bg, gb, and g9 Assume that those four outcomes are equally likely 2. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. a. Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is , the probability of having a girl is ½, and this is not affected by how many boys or girls have previously been born. b.

Explanation / Answer

Ans:

1) standard error of mean=29/sqrt(12)=8.372

z=(154-160)/8.372=-0.717

P(z>-0.717)=P(z<0.717)=0.7633

i.e there is 76.33% chance that it is overloaded.

b)So ,this elevator appears to be unsafe.

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