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liq [111]
3 years ago
5

In a large class of introductory Statistics students, the professor has each person toss a coin 16 times and calculate the propo

rtion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. How much variability would you expect among these proportions?
Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

Variability expected among these Proportions is given by Standard deviation = 0.125

Step-by-step explanation:

The probability of tossing heads is the same for a fair coin as the probability of tossing tails.

The probability of tossing heads is then 1 chance out of 2

P = 1/2 = 0.5

The standard deviation of the sample distribution of the sample proportion = √Pq/n

Standard deviation = √p(1-p)/n

= √0.5(1-0.5)/16

Standard deviation = 0.125

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