Confidence Intervals around the MeanVariance Known Large Sam

Confidence Intervals around the Mean-Variance Known (Large Sample)

1) We wish to construct a two-sided 81.1% confidence interval. Compute z/2.

2) We wish to construct a two-sided 87.1% confidence interval around the mean for the data values. The number of values is n = 35, and the population standard deviation is = 1.50. Compute the lower limit of the confidence interval.

3) We wish to construct a two-sided 81.1% confidence interval around the mean for the data values. The number of values is n = 33, and the population standard deviation is = 1.06 Compute the upper limit of the confidence interval.

4) Suppose we wish to have a two-sided 88.7% confidence interval with width of ±0.49. Compute the number of samples required. The population standard deviation is = 1.76.

Solution