homework statistics

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Consider a random sample with sample mean x. If the sample size increased from n = 40 to n = 360, then the standard deviation of x will:

a. remain the same

b. increase by a factor of 9 (will be multiplied by 9)

c. decrease by a factor of 9 (will be multiplied by 1/9)

d. decrease by a factor of 3 (will be multiplied by 1/3)

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