Will you answer these questions please!! 5. In a particular section of Africa, a

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Will you answer these questions please!!

5. In a particular section of Africa, adult male lions are frequently small, with only a few very large adult males. The weights of all the adult male lions in this area is strongly ri3 skewed with mean 200kg and standard deviation 75kg. Researchers random sample of 10 lions in the area (since all lions here are documented) and calc the average weight of the lions. For this sample of 10 lions, which of the following is corred plan on taking a simple a) The sampling distribution of the sample mean is approximately norma b) The sampling distribution of the sample mean is probably right skewed c) The sampling distribution of the lly distributed sample mean has a mean of 200kg and a standard deviation of 75kg he distribution of the 10 individual fish lengths is approximately normally distributed. e) The sampling distribution of the sample mean is exactly normally distributed. 6. Scores on the Standford-Binet IQ test are normally distributed (bell-shaped) with a mean of 100 and a standard deviation of 16. Which of the following is true for Jayden's IQ score of 116? a) Jayden's z-score is 1, which means he did better than about 68% of the other test- takers b) Jayden's 2-score is 1, which means he did better than about 84% of the other test- takers c) Jayden's 2-score is 1, which means he did better than about 100% of the other test- takers. d) Jayden's z-score is 2, which means he did better than about 95% of the other test- takers e) Jayden,sz-score is 2, which means he did better than about 20% of the other test-takers [Use the following information to answer the nect 2 questions.) In South Carolina, about 5% of emergency room visits are for respiratory and chest symp- toms, making up the top reason for emergency visits. Assume that visits to the emergency room among different patients are independent, and randomly sample ten emergency room patients What is the probability that exactly 1 of the ten patients is visiting for respiratory and 7. chest symptoms? a) 0.03 b) 0.05 c) 0.10 d) 0.18 e) 0.32

Explanation / Answer

5

a. Is right. Thats is what CLM or Central Limit theorm states. Even if the population disrtibution is skewed , the sampling distribution according to the CLT is approx. normally distributed

6.

116 is a score of 100+16(mean+stdev). His Zscore is therfore 1. which means he did 84% better than other test takers.
Answer is a.

7.

P(X=1) = 10C1(.05^1)(.95^9) = 0.315 or .32
e is right

8.
P(X>=1) = 1-P(X<1) = 1-P(X=0) = 1-10C0(.05^0)(.95^10) = 1-0.5987 = 0.4013
So, b is right

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