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You want to compute a 90% confidence interval for the mean of a population with unknown standard deviation. The sample size is 30. The correct distribution value for calculating the required confidence interval is:-Group of answer choices1.961.64491.6991.6971.311

Question

You want to compute a 90% confidence interval for the mean of a population with unknown standard deviation. The sample size is 30. The correct distribution value for calculating the required confidence interval is:-Group of answer choices1.961.64491.6991.6971.311

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Solution

The correct distribution value for calculating the required confidence interval is 1.699.

Here's why:

When the population standard deviation is unknown and the sample size is less than 30, we use the t-distribution to calculate the confidence interval. The degrees of freedom in this case would be 30 - 1 = 29. Looking up the t-value for a 90% confidence interval (which leaves 5% in each tail of the distribution) with 29 degrees of freedom, we find the t-value to be approximately 1.699.

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