Math Problem Statement

what is the upper bound 95% CI and the lower bound 95% CI

Solution

The 95% confidence interval bounds for the true proportion of delicious meals are:

  • Lower Bound: 0.314330726954189600000000000000000\approx 0.314330726954189600000000000000000
  • Upper Bound: 0.655366242742780100000000000000000\approx 0.655366242742780100000000000000000

These values indicate that we are 95% confident that the true proportion of delicious meals falls within this range.

Would you like further clarification or have any additional questions?

Here are 5 related questions:

  1. How can we calculate a 90% confidence interval for the same data?
  2. What does it mean if the interval is very wide or very narrow?
  3. How can the confidence interval be used in decision-making for the restaurant?
  4. What is the effect of sample size on the precision of the confidence interval?
  5. How does this interval change if the number of delicious meals found increases?

Tip: When interpreting confidence intervals, remember that they provide a range of plausible values for the parameter, not a probability for the parameter itself.

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Math Problem Analysis

Mathematical Concepts

Statistics
Confidence Intervals

Formulas

95% Confidence Interval formula

Theorems

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Suitable Grade Level

Advanced High School or College