Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 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. (number of letters) Sample mean 3, 3, 4, 7 – 8, 2, 3, 6 – 8, 5, 2, 4 (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 mean of the sample means will tend to be a worse estimate than a single sample mean. A single sample mean will tend to be a worse estimate than the mean of the sample means. The closer the range of the sample means is to 0, the more confident they can be in their estimate. The farther the range of the sample means is from 0, the more confident they can be in their estimate.

questionsare given belowsample(n)word lengthsample meanb)R =0.75## What is the students are going to use the sample means to estimate the mean word length in the book.?

tablebelowshows sample means in the table.equationfor is mathematically given asR =0.75meanof many samples will provide a more accurate estimate than the mean of a singlesample.higher levelof confidence in their estimate if the range of the sample means is closer to 0 than it is now.probability