Question

Four students want to estimate the mean word length of the same book. To do this, each student randomly chose 5 words from the book and recorded their lengths. The samples are shown in the table. (a) Fill in the sample means in the table. Do not round your answers. Sample Word length (number of letters) Sample mean 1 6, 7, 5, 6, 7 2 7, 6, 9, 4, 5 3 2, 9, 8, 7, 7 4 5, 8, 8, 7, 6 (b) Use the table to calculate the range of the sample means. Range of sample means: (c) The students are going to use the sample means to estimate the mean word length in the book. Select all the true statements below. The closer the range of the sample means is to 0, the less confident they can be in their estimate. The farther the range of the sample means is from 0, the less confident they can be in their estimate. A single sample mean will tend to be a better estimate than the mean of the sample means. The mean of the sample means will tend to be a better estimate than a single sample mean.

          Four students want to estimate the mean word length of the same book.
To do this, each student randomly chose 5 words from the book and recorded their lengths. The samples are shown in the table.
(a) Fill in the sample means in the table.
Do not round your answers.
Sample	Word length (number of letters)	Sample mean
1	6, 7, 5, 6, 7	
2	7, 6, 9, 4, 5	
3	2, 9, 8, 7, 7	
4	5, 8, 8, 7, 6	
(b) Use the table to calculate the range of the sample means.
Range of sample means:
(c) The students are going to use the sample means to estimate the mean word length in the book.
Select all the true statements below.
The closer the range of the sample means is to 0, the less confident they can be in their estimate.
The farther the range of the sample means is from 0, the less confident they can be in their estimate.
A single sample mean will tend to be a better estimate than the mean of the sample means.
The mean of the sample means will tend to be a better estimate than a single sample mean.

Four students want to estimate the mean word length of the same book.
To do this, each student randomly chose 5 words from the book and recorded their lengths. The samples are shown in the table.
(a) Fill in the sample means in the table.
Do not round your answers.
Sample Word length (number of letters) Sample mean
1 6, 7, 5, 6, 7
2 7, 6, 9, 4, 5
3 2, 9, 8, 7, 7
4 5, 8, 8, 7, 6
(b) Use the table to calculate the range of the sample means.
Range of sample means:
(c) The students are going to use the sample means to estimate the mean word length in the book.
Select all the true statements below.
The closer the range of the sample means is to 0, the less confident they can be in their estimate.
The farther the range of the sample means is from 0, the less confident they can be in their estimate.
A single sample mean will tend to be a better estimate than the mean of the sample means.
The mean of the sample means will tend to be a better estimate than a single sample mean.

Added by Austin M.

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