Given a sample mean of 2.1 and a population standard deviation of 0.7 from a sample of 10 data points, a 99% confidence interval will have a width of 2.67.Question 15Select one:a.Trueb.False
Question
Given a sample mean of 2.1 and a population standard deviation of 0.7 from a sample of 10 data points, a 99% confidence interval will have a width of 2.67.Question 15Select one:a.Trueb.False
Solution
The statement is False.
To calculate the width of a 99% confidence interval, we use the formula:
Width = Z * (σ/√n)
Where: Z is the Z-score, which corresponds to the desired confidence level. For a 99% confidence interval, the Z-score is approximately 2.576. σ is the population standard deviation, which is given as 0.7. n is the sample size, which is given as 10.
Substituting these values into the formula, we get:
Width = 2.576 * (0.7/√10) = 0.57
Therefore, the width of the 99% confidence
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