In a large statistics class,the professor has each student toss a coin 14 times and calculate the proportion of his or her tosses that were tails.The students then report their results,and the professor plots a histogram of these several proportions.Should a Normal model be used here?
A)A Normal model should not be used because the sample size,14,is larger than 10% of the population of all coins.
B)A Normal model should be used because the samples are random and independent.Also,the sample size,14,is less than 10% of the population.
C)A Normal model should not be used because the sample size is not large enough to satisfy the success/failure condition.For this sample size,np = 7

Question

In a large statistics class,the professor has each student toss a coin 14 times and calculate the proportion of his or her tosses that were tails.The students then report their results,and the professor plots a histogram of these several proportions.Should a Normal model be used here?
A)A Normal model should not be used because the sample size,14,is larger than 10% of the population of all coins.
B)A Normal model should be used because the samples are random and independent.Also,the sample size,14,is less than 10% of the population.
C)A Normal model should not be used because the sample size is not large enough to satisfy the success/failure condition.For this sample size,np = 7 < 10.
D)A Normal model should be used because the 14 coin tosses can be thought of as a random sample of coin tosses and are fewer than 10% of the population of all coins.The success/failure condition is also satisfied because n = 14 ≥ 10.
E)A Normal model should not be used because the population distribution is not Normal.

Quizplus · Accepted Answer

The sample size is not large enough to satisfy the success/failure condition, which requires both np and n(1-p) to be at least 10. Here, np = 7 < 10.

In a Large Statistics Class,the Professor Has Each Student Toss