Question

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ . Assume that the population has a normal distribution. College students' annual earnings:

98% confidence;
n = 9,
mean = $3211,
s = $897

Answer 1

To find a confidence interval for the population standard deviation σ, we use the formula: (n-1)s² / χ²₀.₀₁/₂, n-1. Substituting the given values, we can calculate the confidence interval.

Step-by-step explanation:

To find a confidence interval for the population standard deviation σ, we can use the formula:

(n-1)s² / χ²₀.₀₁/₂, n-1

where s is the sample standard deviation, n is the sample size, and χ²₀.₀₁/₂, n-1 is the upper χ² critical value for the given level of confidence and degrees of freedom.

Using the given values:

1. n = 9
2. mean = $3211
3. s = $897

we substitute these values into the formula and calculate the confidence interval.