Mean of the sampling distribution of the sample proportion


Q1. If we have a sample size of 100 and the estimate of the population proportion is 0.10, the mean of the sampling distribution of the sample proportion is:

A. 0.009

B. 0.10

C. 0.03

D. 0.90

E. 0.09

Q2. Consider a sampling distribution formed based on n = 10. The standard deviation of the population of all sample means σx is ______________ more than the standard deviation of the population of individual measurements σ.

A. Always
B. Sometimes
C. Never

Q3. A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population mean and standard deviation of 90 lbs. and 24 lbs. respectively, then based on a sample size of 36 boxes, the probability that the average weight of the boxes will be be less than 84 lbs. is:

A. 16.87%

B. 93.32%

C. 43.32%

D. 6.68%

E. 84.13%

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Basic Statistics: Mean of the sampling distribution of the sample proportion
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