please help 20 points!!!!!

hree students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. The samples are shown in the table. (a)Fill in the sample means in the table. Do not round your answers. Sample Backpack weight (in pounds) Sample mean 1 3, 7, 8, 3, 7, 9, 6, 8 2 8, 6, 4, 7, 9, 4, 6, 7 3 9, 4, 5, 8, 7, 5, 9, 6
(b)Use the table to calculate the range of the sample means. Rangeofsamplemeans:
(c)The students are going to use the sample means to estimate the mean backpack weight of their schoolmates. Select all the true statements below.

A single sample mean will tend to be a worse estimate than the mean of the sample means.

The mean of the sample means will tend to be a worse estimate than a single sample mean.

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.

Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,

(a) The sample means of the backpacks are: 6.375,6.375,6.625

(b) Range of sample means: 0.25

(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.

For the first sample, mean= 6.375

For the second sample, mean= 6.375

For the third sample, mean= 6.625

Range of sample means=Maximum Mean- Minimum Mean

= 6.625 - 6.375

= 0.25

The students will estimate the average backpack weight of their classmates using sample means, the true statement is:

The closer the range of the sample means is to 0, the more confident they can be in their estimate.

Learn more about range here:

https://brainly.com/question/24326172

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