Empirical Rule

Q2 a) What is the numerical value for the lower bound (LB) of the interval? Enter your answer as a whole number.

Question

Empirical Rule

Q2 a) What is the numerical value for the lower bound (LB) of the interval? Enter your answer as a whole number.

BlackTom AI · Accepted Answer

The question presented has no answer options to compare, so we cannot evaluate multiple choices against each other.

To reason about the empirical rule (68-95-99.7%), consider the standard normal context first. For a standard normal distribution (mean = 0, standard deviation = 1):
- About 68% of the data lie within ±1 SD, giving lower bound LB = -1 and upper bound UB = 1.
- About 95% lie within ±2 SD, giving LB = -2 and UB = 2.
- About 99.7% lie within ±3 SD, giving LB = -3 and UB = 3.

If the interval in question is the 95% interval around the mean in standardized units, the lower bound is -2. If the distribution has a different mean or SD, you would scale accordingly: LB = mean − 2 × SD for that 95% interval, or mean − 1 × SD for the 68% interval, etc.

Given that the provided answer is -2 and there are no options to critique, the value -2 aligns with the standard normal interpretation of the 95% interval lower bound. If your problem context uses a different mean/SD, you would adjust using LB = mean − 2 × SD for a 95% interval around the mean.

Without additional context or options, this is the most direct interpretation consistent with the empirical rule in its common standard form.

STAT_008_A01_25U Lab #10

Empirical Rule Q2 a) What is the numerical value for the lower bound (LB) of the interval? Enter your answer as a whole number.

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Empirical Rule Q3 d) Find P(LB < Z< UB). Enter your answer to 4 decimal places.

Empirical Rule Q3 b) What is the numerical value for the upper bound (UB) of the interval? Enter your answer as a whole number.

Empirical Rule Q3 a) What is the numerical value for the lower bound (LB) of the interval? Enter your answer as a whole number.

Empirical Rule Q2 d) Find P(LB < Z< UB). Enter your answer to 4 decimal places.

Empirical Rule Q2 b) What is the numerical value for the upper bound (UB) of the interval? Enter your answer as a whole number.

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