Ten students independently performed an experiment to estimate the value on . Their results were: (a) (b) 3.12, 3.16, 2.94, 3.33, 3.00, 3.11, 3.50, 2.81, 3.02, 3.10 Given that x² = 97.0011, calculate the sample mean, and sample variance, s². Stating any necessary assumption that you make, calculate a 95% confidence interval for based on these data. (c) Estimate the minimum number of results that would be needed if it is required that the width of the resulting 95% confidence interval should be at most 0.02.

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Question 7
Ten students independently performed an experiment to estimate the value on 7. Their
results were:
(a)
(b)
(c)
3.12, 3.16, 2.94, 3.33, 3.00, 3.11, 3.50, 2.81, 3.02, 3.10
Given that x² = 97.0011, calculate the sample mean, and sample variance,
s².
Stating any necessary assumption that you make, calculate a 95% confidence
interval for based on these data.
Estimate the minimum number of results that would be needed if it is required that
the width of the resulting 95% confidence interval should be at most 0.02.
Transcribed Image Text:Question 7 Ten students independently performed an experiment to estimate the value on 7. Their results were: (a) (b) (c) 3.12, 3.16, 2.94, 3.33, 3.00, 3.11, 3.50, 2.81, 3.02, 3.10 Given that x² = 97.0011, calculate the sample mean, and sample variance, s². Stating any necessary assumption that you make, calculate a 95% confidence interval for based on these data. Estimate the minimum number of results that would be needed if it is required that the width of the resulting 95% confidence interval should be at most 0.02.
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