Question

What fraction of vertical bars in Figure 4-5a is expected to include the population mean (10000) if many experiments are carried out? Why are the 90 % confidence interval bars longer than the 50 % bars in Figure 4-5?

Short answer

Thus because the fewer 50 percent bars approach the mean value, 90 percent bars would be longer than 50 percent bars.

Step-by-step solution

Definition of confidence interval bars

• Confidence limits are a set of values determined from a research group that are extremely likely to include the true, but unknown, value ("confidence limit" refers to statistical analysis results). On a graph, they're frequently shown as error bars.

Determine the 90 % confidence interval bars longer than the 50 % bars in Figure 4-5

• In this section, we will compute the fraction of vertical bars in Figure 4-5a that are projected to include the population mean (10000), as well as explain why the 90 percent confidence interval bars in Figure 4-5 are longer than the 50 percent confidence interval bars:
• #c 34632 > The probability that our value will fall between two values is referred to as the confidence interval.
• The bars are drawn at a 50% confidence level, which means that if the experiment is repeated 50 times, 50 percent of the results will include the mean value.
• If enough experiments are carried out, 90% of the 90% confidence bars will intersect the mean value.
• Because fewer 50 percent bars approach the mean value, 90 percent bars would be longer than 50 percent bars.