Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 27.7 ft and standard deviation 60.6 ft. You intend to measure a random sample of n = 139 trees. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard erro of the sampling distribution. Complete the indicated boxes, correct to two decimal places. mean of distribution= standard error= Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Let \( X \) represent the full height of a certain species of tree. Assume that \( X \) has a normal probability distribution with mean 27.7 ft and standard deviation 60.6 ft. You intend to measure a random sample of \( n = 139 \) trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places.

![Bell Curve](Diagram of a bell curve with three boxes along the horizontal axis and two boxes to the right. The horizontal axis is labeled as follows: the left box is 2 standard errors below the mean, the middle box is the mean, and the right box is 2 standard errors above the mean.)

- Mean of distribution = \_\_\_\_\_
- Standard error = \_\_\_\_\_

**Note:** The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
Transcribed Image Text:Let \( X \) represent the full height of a certain species of tree. Assume that \( X \) has a normal probability distribution with mean 27.7 ft and standard deviation 60.6 ft. You intend to measure a random sample of \( n = 139 \) trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. ![Bell Curve](Diagram of a bell curve with three boxes along the horizontal axis and two boxes to the right. The horizontal axis is labeled as follows: the left box is 2 standard errors below the mean, the middle box is the mean, and the right box is 2 standard errors above the mean.) - Mean of distribution = \_\_\_\_\_ - Standard error = \_\_\_\_\_ **Note:** The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
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