aulz b,Chapter 6.4-6.6 Matc used more than once or not at all. (2 points each) h

Question

aulz b,Chapter 6.4-6.6 Matc used more than once or not at all. (2 points each) hing: Match the concept/definition in column A to the Term in column B. Answers may be 1. Sampling Distribution of a Statistic After many trials, the sampling distribution of a mean targets... After many trials, the sampling distribution of a variance targets.. As the sample size increases, the distribution of sample means x will approach... (Central Limit Theorem) The mean of the sample means is The standard deviation of the sample means is when conducting a sample distribution of a 2. 3. 4. A. The population mean B The variance of the population 82 C. The same size E. The best possible F. A normal distribution 5, 6. 7, S Statistics of statistics of the same sample size. statistic, it is important that all samples have... IQ Scores are normally distributed, have a population mean = 100 and a Standard Deviation = 15. If one individual is randomly chosen from the population, what is the probability that his or her IQ is 120 or higher? (3 points) 8. 9. If 16 people are randomly chosen, what is the probability that each has an 1Q greater than 120? (3 points)

Explanation / Answer

Matching Problem

(1) Statistics of staitstics of sample size

(2) The population mean

(3) The variance of the population 2

(4) A normal Distribution

(5) The population mean

(6) s/ sqrt(n) [OPtion D ]

(7) The same size

Here population mean = 100

standard deviation = 15

(a) Let sayIQ of a random person is X

so, Pr(X >= 120) = 1 - Pr( X < 120) = 1 Pr( X < 120; 100; 15)

Z = (120 - 100)/15 = 4/3 = 1.33333

Pr(X >= 120) = 1 - Pr( X < 120) = 1 Pr( X < 120; 100; 15) = 1 - Pr(Z < 1.3333)

Pr(X >= 120) = 1 - 0.9088 = 0.0912

Q.9  Here 16 people are randomly chosen then we have to find that each has an IQ greater than 120.

So now this will become the binomial distribution

where n = 16 and p = 0.0912

Pr(X = 16) = BIN (X = 16; 16; 0.0912) = 16C0 (0.0912)16  = 2.29 x 10-17

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