A random sample of n = 4 scores is selected from a population. Which of the foll

Question

A random sample of n = 4 scores is selected from a population. Which of the following distributions definitely will be normal? The scores in the sample will form a normal distribution. The distribution of sample means will form a normal distribution. Neither the sample, the population, nor the distribution of sample means will definitely be normal. The scores in the population will form a normal distribution. A sample of n = 4 scores has a standard error of 10 points. For the same population, what is the standard error for a sample of n = 16 scores? 5 1 2.5 10

Explanation / Answer

Q7.

Standard Error= sd/ Sqrt(n)
Where,
sd = Standard Deviation
n = Sample Size
Standard deviation( sd )= unknown
Sample Size(n)=4
Standard Error = 10
=> Standard Error= sd/ Sqrt(n)
=> 10 = sd / sqrt(4)
=> sd = 10 * 2 = 20

and now,
sd = 20, n = 16
Standard Error = ( 20/ Sqrt ( 16) )
= 5

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