![]() Construct a 98 confidence interval to estimate the mean commute time in. ![]() Suppose that our sample has a mean of x 10, and we have constructed the 90 confidence interval (5, 15) where EBM 5. Example: 98 CI for Mean Atlanta Commute Time 7.4.2.1 - Video Example: 98 CI for Mean Atlanta Commute Time. A confidence interval for a population mean with a known standard deviation is based on the fact that the sample means follow an approximately normal distribution. For a 90 confidence interval, the (z) multiplier. Constructed as 8.0 9.28, the two-tailed 98 confidence interval will include 0 by. For a 90 confidence interval, we would find the z scores that separate the middle 90 of the z. We want to find the minimum sample size required to achieve the desired level of accuracy in the confidence interval. 02 with Z.02 2.32, will produce the component of 2.32 × 4 9.28. But selecting a sample that is too small can lead to inaccurate conclusions. Selecting a sample that is too large is expensive and time consuming. Simple telephone surveys will cost approximately $30.00 each, for example, and some sampling requires the destruction of the product. Sampling can be very costly, in both time and product. This problem has been solved Youll get a detailed solution. ![]() Step 1: Press STAT, then right arrow over to TESTS. The z value for a 98 confidence interval for the population mean with known is: a) 1.60. However, if we are able to set the sample size, as in cases where we are taking a survey, it is very helpful to know just how large it should be to provide the most information. Construct a 98 confidence interval for the true population mean. Usually we have no control over the sample size of a data set.
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