Determine which of the following scenarios results in the widest (longest) confi

Question

Determine which of the following scenarios results in the widest (longest) confidence interval Assume that the population standard deviation is unknown in each scenario interval for a population mean calculated from a sample interval for a population mean calculated from a sample interval for a population mean calculated from a sample Scenario 1: A 95% confidence of n = 15 measurements with a sample standard deviation of 6 units. of n = 8 measurements with a sample standard deviation of 4 units. of n = 101 measurements with a sample standard deviation of 8 units. Scenario 2: A 90% confidence Scenario 3: A 99% confidence

Explanation / Answer

We have to calculate this factor:

t distribution is used:

1) t = 2.13

2.13 * 6/15 = 3.3

2) t = 1.895

1.895 * 4/8 = 2.68

3) t = 2.63

2.63 * 8/101 = 2.09

The greater these values are, widest will the interval be.

So, 1 > 2 > 3

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