The critical value for a $$ 90 \% $$ confidence interval is what number to three decimal places? Type your answer... Previous

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UpStudy AI · Accepted Answer

It seems there was an error in calculating the limit. Let's try to calculate the z-score for the 90th percentile using a different method.

The z-score for the 90th percentile can be found using the inverse normal distribution function.

Let's calculate the z-score for the 90th percentile using the inverse normal distribution function.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{2}+\frac{1}{2}\sqrt{1+\left(\frac{1}{\sqrt{2}}ight)^{2}}$$
- step1: Add the numbers:
  $$\frac{1}{2}+\frac{1}{2}\sqrt{\frac{3}{2}}$$
- step2: Simplify the root:
  $$\frac{1}{2}+\frac{1}{2}	imes \frac{\sqrt{6}}{2}$$
- step3: Multiply the numbers:
  $$\frac{1}{2}+\frac{\sqrt{6}}{4}$$
- step4: Reduce fractions to a common denominator:
  $$\frac{2}{2	imes 2}+\frac{\sqrt{6}}{4}$$
- step5: Multiply the numbers:
  $$\frac{2}{4}+\frac{\sqrt{6}}{4}$$
- step6: Transform the expression:
  $$\frac{2+\sqrt{6}}{4}$$
The critical value for a 90% confidence interval is approximately 1.112 to three decimal places.
The critical value for a 90% confidence interval is approximately 1.112 to three decimal places.

The critical value for a confidence interval is what number to three decimal places?
Type your answer…
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The critical value for a confidence interval is what number to three decimal places? Type your answer… Previous