Suppose that a random sample of measurements is selected from a population with

Question

Suppose that a random sample of measurements   is  selected from a population with a mean of 70 and standard deviation of 9. Describe the changes in the sampling distribution of the sample mean if n is decreased from 100 to 50 describe the change in the standard deviation if n decreases from 100 to 50? Mean will__________Standard Dev will_________True or False:________In order to apply the central limit theorem to make an inference about the target population, the target population must be distributed normally.______A statistic is always equal to the parameter?_______Parameters    are    almost    always    known._______The sample mean is a random variable. Adult IQ scores are known to be normally distributed with a mean of 100 and a standard deviation of 16. If I take a large number of samples from the population each of size 81, find the probability that 1 given Random sample of size 81 will have a mean IQ greater than 109? Determine the interval of the mean IQ's that you would expect the mean of your sampling distribution to fall within 95.6 % of the time?

Explanation / Answer

6) a According to CLT, the sampling distribution will have same value as the mean of population. Ans:70.

The standard deviation will be increased from 0.9 to 1.27 [use s=sigma/sqrt n]

7) a) False b) False [statistic is characteristic of sample, parameter i scharacteristic of population] c) True d) True

8) From infomation given, Xbar=100, s=16

b) xbar+-2sigma=100-2*16=68 to 100+2*16=132

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