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Aussie, Aussie, Aussie A group of Australian students were asked to estimate the width

Chapter 2, Problem R2.3

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QUESTION:

Aussie, Aussie, Aussie A group of Australian students were asked to estimate the width of their classroom in feet. Use the dotplot and summary statistics below to answer the following questions. Variable n Mean Stdev Minimum Q1 Median Q3 Maximum Guess ft 66 43.70 12.50 24.00 35.50 42.00 48.00 94.00 (a) Suppose we converted each students guess from feet to meters (3.28 ft = 1 m). How would the shape of the distribution be affected? Find the mean, median, standard deviation, and IQR for the transformed data. (b) The actual width of the room was 42.6 feet. Suppose we calculated the error in each students guess as follows: guess 42.6. Find the mean and standard deviation of the errors. Justify your answers.

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QUESTION:

Aussie, Aussie, Aussie A group of Australian students were asked to estimate the width of their classroom in feet. Use the dotplot and summary statistics below to answer the following questions. Variable n Mean Stdev Minimum Q1 Median Q3 Maximum Guess ft 66 43.70 12.50 24.00 35.50 42.00 48.00 94.00 (a) Suppose we converted each students guess from feet to meters (3.28 ft = 1 m). How would the shape of the distribution be affected? Find the mean, median, standard deviation, and IQR for the transformed data. (b) The actual width of the room was 42.6 feet. Suppose we calculated the error in each students guess as follows: guess 42.6. Find the mean and standard deviation of the errors. Justify your answers.

ANSWER:

Step 1 of 4

Given,

Sample size,

Mean,

Standard deviation,

Minimum = 24 ft

Maximum = 94 ft

Median = 42 ft

First quartile,

Third Quartile,

Using the dotplot and summary statistics let's determine the following:

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