Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that utilized water containing the nutrient, they planted six tomato plants and recorded the heights of each plant 14 days after germination. Those heights, measured in millimeters, were as follows: 56.2, 58.2, 59.3, 63.2, 64.1, 68.5. D a. Find a point estimate of the population mean height of this variety of seedling 14 days after germination. b. Given a margin of error of 4.8 mm, construct a 95% confidence interval for the population mean height. c. Use this example to explain why a point estimate alone is usually insufficient for statistical inference. a. What is the point estimate of the population mean? mm (Round to one decimal place as needed.) b. The interval is from mm to mm. (Round to one decimal place as needed.) c. Use this example to explain why a point estimate alone is usually insufficient for statistical inference. Choose the correct answer below. O A. The point estimate has a large standard deviation compared to other estimators. B. A point estimate alone is insufficient because the sampling distribution is not centered at the parameter. O C. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not. O D. The point estimate usually falls outside the confidence interval.

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Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that
utilized water containing the nutrient, they planted six tomato plants and recorded the heights of each plant 14 days after germination. Those
heights, measured in millimeters, were as follows: 56.2, 58.2, 59.3, 63.2, 64.1, 68.5. O
a. Find a point estimate of the population mean height of this variety of seedling 14 days after germination.
b. Given a margin of error of 4.8 mm, construct a 95% confidence interval for the population mean height.
c. Use this example to explain why a point estimate alone is usually insufficient for statistical inference.
a. What is the point estimate of the population mean?
mm
(Round to one decimal place as needed.)
b. The interval is from
mm to
mm.
(Round to one decimal place as needed.)
c. Use this example to explain why a point estimate alone is usually insufficient for statistical inference. Choose the correct answer below.
O A. The point estimate has a large standard deviation compared to other estimators.
B. A point estimate alone is insufficient because the sampling distribution is not centered at the parameter.
C. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.
D. The point estimate usually falls outside the confidence interval.
Transcribed Image Text:Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that utilized water containing the nutrient, they planted six tomato plants and recorded the heights of each plant 14 days after germination. Those heights, measured in millimeters, were as follows: 56.2, 58.2, 59.3, 63.2, 64.1, 68.5. O a. Find a point estimate of the population mean height of this variety of seedling 14 days after germination. b. Given a margin of error of 4.8 mm, construct a 95% confidence interval for the population mean height. c. Use this example to explain why a point estimate alone is usually insufficient for statistical inference. a. What is the point estimate of the population mean? mm (Round to one decimal place as needed.) b. The interval is from mm to mm. (Round to one decimal place as needed.) c. Use this example to explain why a point estimate alone is usually insufficient for statistical inference. Choose the correct answer below. O A. The point estimate has a large standard deviation compared to other estimators. B. A point estimate alone is insufficient because the sampling distribution is not centered at the parameter. C. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not. D. The point estimate usually falls outside the confidence interval.
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