An animal shelter has a 58% adoption rate for puppies. Of all puppies in the she

Question

An animal shelter has a 58% adoption rate for puppies. Of all puppies in the shelter, 80% live to be 7 years or older. Of the puppies who are adopted, 90% live to be 7 years or older, what is the probability that a randomly selected puppy in the shelter will get adopted and live 7 or more years? A study is being planned to estimate the mean number of semester hours taken by students at a college. The population standard deviation is assumed to be 47 hours. How many studen should be included in the sample to be 99% c semester hour of the population mean for all students at this college? 6. ts onfident that the sample mean-x is within one

Explanation / Answer

Ans:

1)P(adoption)=0.58

P(live 7 year or older/adopted)=0.9

P(live 7 year or older/adopted)= P(adopted and live 7 year or older)/P(adoption)

P(adopted and live 7 year or older)=P(live 7 year or older/adopted)*/P(adoption)

=0.9*0.58=0.522

2)

z value for 99% CI is 2.58

Margin of error=1

std deviation=4.7

Sample size required,

n=(2.58*4.7/1)2

n=147

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