According to a dental association, 68% of all dentists use nitrous oxide (laughing gas) in their practice. In a random sample of 500 dentists, let p represent the proportion who use laughing gas in practice. Complete parts a through d below. a. Find E(p). E (6) (Round to two decimal places as needed.) = b. Find on. p (Round to four decimal places as needed.) c. What does the Central Limit Theorem say about the shape of the sampling distribution of p? O A. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will become approximately normal. OB. The Central Limit Theorem says that the shape of the sampling distribution of p is completely determined by the population parameter p. С. The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean. O D. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will approach the population distribution. d. Find P (p>0.52). P(p>0.52) = (Round to three decimal places as needed.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 20A: Mating parts are shown in Figure 29-16. The pins in the top piece fit into the holes in the bottom...
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According to a dental association, 68% of all dentists use nitrous oxide (laughing gas) in their practice. In a random sample of 500 dentists, let p represent the proportion who use laughing gas in practice. Complete parts a through d below.
a. Find E(p).
E (6)
(Round to two decimal places as needed.)
=
b. Find on.
p
(Round to four decimal places as needed.)
c. What does the Central Limit Theorem say about the shape of the sampling distribution of p?
O A.
The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will become approximately normal.
OB.
The Central Limit Theorem says that the shape of the sampling distribution of p is completely determined by the population parameter p.
С.
The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean.
O D.
The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will approach the population distribution.
d. Find P (p>0.52).
P(p>0.52) =
(Round to three decimal places as needed.)
Transcribed Image Text:According to a dental association, 68% of all dentists use nitrous oxide (laughing gas) in their practice. In a random sample of 500 dentists, let p represent the proportion who use laughing gas in practice. Complete parts a through d below. a. Find E(p). E (6) (Round to two decimal places as needed.) = b. Find on. p (Round to four decimal places as needed.) c. What does the Central Limit Theorem say about the shape of the sampling distribution of p? O A. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will become approximately normal. OB. The Central Limit Theorem says that the shape of the sampling distribution of p is completely determined by the population parameter p. С. The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean. O D. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will approach the population distribution. d. Find P (p>0.52). P(p>0.52) = (Round to three decimal places as needed.)
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