Question

Asked Mar 9, 2019

Please answer d and e.

Step 1

The formula for confidence interval for t distribution is shown below

Step 2

Here for the given sample, sample mean is 6.55, sample standard deviation is 0.347 and let the sample size be n. The critical t score for 95% confidence interval is 2.228 as shown below.

Step 3

Now to detect a true mean 6.25 with 95% confidence interval the confidence interval should have the true mean value with in its boundaires. from the confidence interval formula we can say if the sample size increases the margin of error decrease, so as the deviation from sample mean in confidence interval. So this is possible if the lower boundary of the confidence interval is equa...

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