Math Problem Statement

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Midterm Exam 2 Question 4 of 8 (1 point) Time Remaining:1:17:22 1 hour 17 minutes 22 seconds remaining

1 2 3 4 5 6 7 8 Question 4 The scores on an examination in biology are approximately normally distributed with mean 500 and an unknown standard deviation. The following is a random sample of scores from this examination. 435, 453, 473, 537, 559, 603

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Send data to Excel Find a 90% confidence interval for the population standard deviation. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)

Lower limit: Upper limit:

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Math Problem Analysis

Mathematical Concepts

Statistics
Confidence Interval
Chi-square Distribution
Standard Deviation
Variance

Formulas

Sample variance: s^2 = (1 / (n-1)) * Σ(x_i - x̄)^2
Confidence interval for variance: ((n-1)s^2 / χ²_α/2, (n-1)s^2 / χ²_(1-α/2))
Confidence interval for standard deviation: sqrt(lower limit variance), sqrt(upper limit variance)

Theorems

Chi-square Distribution Theorem

Suitable Grade Level

Undergraduate