A sample of 20 plants was collected and the mean height was calculated as 8.3 cm. A 95% confidence interval for the true mean height of plants of that particular species is (3.5 cm, 13.1 cm). Four students gave the following interpretations of the confidence interval. Which of the following is correct? We can be fairly confident that 95% of all plants of that species have a height between 3.5 cm and 13.1 cm. We are 95% confident that the true mean height is 8.3 cm since that value lies in the confidence interval. The probability is 0.95 that the mean height lies in the interval (3.5, 13.1) None of the above

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A sample of 20 plants was collected and the mean height was calculated as 8.3 cm. A 95% confidence
interval for the true mean height of plants of that particular species is (3.5 cm, 13.1 cm).
Four students gave the following interpretations of the confidence interval. Which of the following is
correct?
We can be fairly confident that 95% of all plants of that species have a height between 3.5 cm and 13.1 cm.
We are 95% confident that the true mean height is 8.3 cm since that value lies in the confidence interval.
The probability is 0.95 that the mean height lies in the interval (3.5, 13.1)
None of the above
Transcribed Image Text:A sample of 20 plants was collected and the mean height was calculated as 8.3 cm. A 95% confidence interval for the true mean height of plants of that particular species is (3.5 cm, 13.1 cm). Four students gave the following interpretations of the confidence interval. Which of the following is correct? We can be fairly confident that 95% of all plants of that species have a height between 3.5 cm and 13.1 cm. We are 95% confident that the true mean height is 8.3 cm since that value lies in the confidence interval. The probability is 0.95 that the mean height lies in the interval (3.5, 13.1) None of the above
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