A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of is A)not normal since n 30 and n(1-p) 30

Question

A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of  is
A)not normal since n < 30 
B)approximately normal becauseis always normally distributed 
C)approximately normal if np $\ge$ 5 and n(1-p) $\ge$ 5 
D)approximately normal if np > 30 and n(1-p) >30

Quizplus · Accepted Answer

The sampling distribution of 11ea86e1_d6f8_e228_a30f_f9f650fb0518_TB2162_11 is approximately normal if the sample size is large enough and if both np and n(1-p) are at least 5. Therefore, the best choice is C since it satisfies these conditions. The other choices either have stricter or weaker requirements for normality.

A Sample of 25 Observations Is Taken from a Process ≥\ge≥

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