2 (i) 47.7 (ii) 34.7 to 60.7 (iii) 27.3 to 68.1

Question and answer key 2 (i) 47.7<br>(ii) 34.7 to 60.7<br>(iii) 27.3 to 68.1<br>

Extracted text: 2 (i) 47.7 (ii) 34.7 to 60.7 (iii) 27.3 to 68.1

2 An aptitude test for deep-sea divers has been designed to produce scores which<br>are approximately normally distributed on a scale from 0 to 100 with standard<br>deviation 25. The scores from a random sample of people taking the test were<br>as follows.<br>23<br>35<br>89 35<br>12<br>45 60 78 34<br>66<br>(i) Find the mean score of the people in this sample.<br>(ii) Construct a 90% confidence interval for the mean score of people taking<br>the test.<br>(iii) Construct a 99% confidence interval for the mean score of people taking the<br>test. Compare this confidence interval with the 90% confidence interval.<br>

Extracted text: 2 An aptitude test for deep-sea divers has been designed to produce scores which are approximately normally distributed on a scale from 0 to 100 with standard deviation 25. The scores from a random sample of people taking the test were as follows. 23 35 89 35 12 45 60 78 34 66 (i) Find the mean score of the people in this sample. (ii) Construct a 90% confidence interval for the mean score of people taking the test. (iii) Construct a 99% confidence interval for the mean score of people taking the test. Compare this confidence interval with the 90% confidence interval.

Jun 09, 2022

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2 (i) 47.7 (ii) 34.7 to 60.7 (iii) 27.3 to 68.1

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