Question

Reaction to Tear Gas. Determine the mean length of time required to generate a human reaction to tear gas for formulas A and B. Also, find the variances for both distributions and identify which tear gas has a higher probability of generating a human reaction in less than 1 minute.

A) Mean A: [Calculate], Mean B: [Calculate], Variance A: [Calculate], Variance B: [Calculate], Tear Gas A
B) Mean A: [Calculate], Mean B: [Calculate], Variance A: [Calculate], Variance B: [Calculate], Tear Gas B
C) Tear Gas A, Tear Gas B, Mean A: [Calculate], Mean B: [Calculate]
D) Tear Gas A, Tear Gas B, Variance A: [Calculate], Variance B: [Calculate]

Answer 1

Statistical calculations for mean and variance cannot be performed without specific data on reaction times to tear gas formulas A and B. The cumulative distribution function would need to be analyzed to determine the probability of a reaction occurring in under a minute for each tear gas.

Step-by-step explanation:

The student's question is asking for a statistical analysis involving means and variances. However, without specific data about the reaction times to tear gas formulas A and B, we cannot provide the requested calculations. To determine the mean response time for each formula and their respective variances, the student would need to collect a sample of reaction times, compute the average (mean), and use the sample data to calculate the variance.

The part of the question that asks which tear gas has a higher probability of generating a human reaction in less than 1 minute requires a comparison of the distributions of reaction times for both tear gases. For this, one could look at the cumulative distribution function (CDF) for each tear gas to determine the probability of a reaction time less than 1 minute.

As the provided information does not include actual data or distributions for the tear gases, we suggest the student gather the necessary information to perform the calculations. Concepts related to the Ideal Gas Law or rates of gas effusion might only be tangentially related if at all. However, without the proper context, it is not possible to directly answer the student's question.