In Exercise 1.4, there is one extremely large value

Chapter 1, Problem 16E

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QUESTION:

In Exercise , there is one extremely large value . Eliminate this value and calculate \(\bar{y}\) and  for the remaining 39 observations. Also, calculate the intervals \(\bar{y} \pm k s\) for \(k=1\), 2, and 3; count the number of measurements in each; then compare these results with those predicted by the empirical rule. Compare the answers here to those found in Exercise   Note the effect of a single large observation on \(\bar{y}\) and .

Equation Transcription:

Text Transcription:

y bar

y bar +/- ks

k=1

y bar

Questions & Answers

QUESTION:

In Exercise , there is one extremely large value . Eliminate this value and calculate \(\bar{y}\) and  for the remaining 39 observations. Also, calculate the intervals \(\bar{y} \pm k s\) for \(k=1\), 2, and 3; count the number of measurements in each; then compare these results with those predicted by the empirical rule. Compare the answers here to those found in Exercise   Note the effect of a single large observation on \(\bar{y}\) and .

Equation Transcription:

Text Transcription:

y bar

y bar +/- ks

k=1

y bar

ANSWER:

Solution :

Step 1 of 2:

Consider the data

11.8

6.27

5.49

4.81

4.4

3.78

3.44

3.11

2.88

2.68

7.99

6.07

5.26

4.79

4.05

3.69

3.36

3.03

2.74

2.63

7.15

5.98

5.07

4.55

3.94

3.62

3.26

2.99

2.74

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