At a local veterinary office, 48% of dogs get their teeth cleaned, while 35% of cats get their teeth cleaned. Let P, and P be the sample proportions of dogs and cats at this veterinary office, respectively, who get their teeth cleaned. Suppose 25 dogs and 32 cats from this veterinary office are selected at random to collect data on their teeth-cleaning history. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of Pp-Pc ? The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.003 from the true difference in proportions. The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.017 from the true difference in proportions. The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions. The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.131 from the true difference in proportions.

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At a local veterinary office, 48% of dogs get their teeth cleaned, while 35% of cats get their teeth cleaned. Let P, and
Pc be the sample proportions of dogs and cats at this veterinary office, respectively, who get their teeth cleaned.
Suppose 25 dogs and 32 cats from this veterinary office are selected at random to collect data on their teeth-cleaning
history.
Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution
of Po-Pc ?
O The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about
0.003 from the true difference in proportions.
The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about
0.017 from the true difference in proportions.
The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about
0.054 from the true difference in proportions.
The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about
0.131 from the true difference in proportions.
Transcribed Image Text:At a local veterinary office, 48% of dogs get their teeth cleaned, while 35% of cats get their teeth cleaned. Let P, and Pc be the sample proportions of dogs and cats at this veterinary office, respectively, who get their teeth cleaned. Suppose 25 dogs and 32 cats from this veterinary office are selected at random to collect data on their teeth-cleaning history. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of Po-Pc ? O The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.003 from the true difference in proportions. The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.017 from the true difference in proportions. The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions. The difference (dogs - cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.131 from the true difference in proportions.
000
00
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20.50
20.60
20.70
20.80
20.90
21.00
21.10
Simulated means of samples, n = 30
Using the dotplot, is there evidence that machines are overfilling the 20-ounce bottles?
Yes, since a sample mean of 20.9 is greater than the mean, 20.8, there is evidence that the true mean ounces of
water is greater than 20.8.
Yes, since a sample mean of 20.9 never occurred in the 100 simulated values, there is evidence that the true mean
ounces of water is greater than 20.8.
No, since a sample mean of 20.9 or more occurred 19 out of 100 times, there is insufficient evidence that the true
mean ounces of the bottles of water is greater than 20.8.
ONo, since a sample mean of 20.9 never occurred in the dotplot, it is not possible that a random sample of 30 bottles
will have a mean number of ounces of 20.9. Therefore, there is insufficient evidence that the true mean ounces is
greater than 20.8.
Transcribed Image Text:000 00 + + 20.50 20.60 20.70 20.80 20.90 21.00 21.10 Simulated means of samples, n = 30 Using the dotplot, is there evidence that machines are overfilling the 20-ounce bottles? Yes, since a sample mean of 20.9 is greater than the mean, 20.8, there is evidence that the true mean ounces of water is greater than 20.8. Yes, since a sample mean of 20.9 never occurred in the 100 simulated values, there is evidence that the true mean ounces of water is greater than 20.8. No, since a sample mean of 20.9 or more occurred 19 out of 100 times, there is insufficient evidence that the true mean ounces of the bottles of water is greater than 20.8. ONo, since a sample mean of 20.9 never occurred in the dotplot, it is not possible that a random sample of 30 bottles will have a mean number of ounces of 20.9. Therefore, there is insufficient evidence that the true mean ounces is greater than 20.8.
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