Math Problem Statement

Use the given information to find the number of degrees of​ freedom, the critical values chi Subscript Upper L Superscript 2 and chi Subscript Upper R Superscript 2​, and the confidence interval estimate of sigma. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. White Blood Counts of Women 90​% ​confidence; nequals150​, sequals1.95 ​(1000 ​cells/mu​L). Question content area bottom Part 1 dfequals    149 ​(Type a whole​ number.) Part 2 chi Subscript Upper L Superscript 2equals    121.79 ​(Round to two decimal places as​ needed.) Part 3 chi Subscript Upper R Superscript 2equals    enter your response here ​(Round to two decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Chi-square distribution
Confidence intervals
Degrees of freedom

Formulas

df = n - 1
P(chi_L^2 ≤ chi^2 ≤ chi_R^2) = 0.90
Confidence interval for sigma: sqrt((n - 1) * s^2 / chi_R^2) ≤ sigma ≤ sqrt((n - 1) * s^2 / chi_L^2)

Theorems

Chi-square distribution for confidence intervals
Degrees of freedom in statistics

Suitable Grade Level

Undergraduate Statistics