Decision Theory and Hypothesis Testing Quiz

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10 Questions

Which test would you select if you are concerned with testing the significance of the departure of an observed value in either a positive or a negative direction from the value indicated by our hypothesis?

A. A two-tailed test

Compute the standard deviation for the given sample distribution: 8, 6, 5, 25, 20, 34, 78, 12, 23, 45, 35.

B. 21.48

What is the primary factor responsible for dust gaining entrance to the alveolar regions of the lung?

B. particle size

Which of the following best describes the coefficient of variation?

B. The standard deviation divided by the mean

What is the effect of local or generalized grey-blue colored impregnation of the skin tissue?

D. No significant effect

Which one of these is the correct permissible exposure level for 2% crystalline quartz dust in the tunnel atmosphere?

1.66 mg/m^3

How many years will it take for a radioisotope with a half-life of 1 year to reduce the initial activity to less than 5%?

4 years

What is the worker's exposure for the mixture of toluene, acetone, and MEK with the following concentrations: Toluene at 12.5 ppm (TLV = 50 ppm), Acetone at 200 ppm (TLV = 500 ppm), MEK at 100 ppm (TLV = 200 ppm)?

58% TLV

What is the volume of gas at 460 degrees Rankine if the initial volume is 150 ml at 120 degrees Fahrenheit?

116.83 ml

Evaluate the effectiveness of the hearing using the following formula:

P \cdot V \cdot T

Study Notes

Statistical Tests

  • To test the significance of the departure of an observed value in either a positive or a negative direction from the value indicated by the hypothesis, a two-tailed test should be used.

Standard Deviation

  • The standard deviation for the given sample distribution (8, 6, 5, 25, 20, 34, 78, 12, 23, 45, 35) can be calculated using the formula.

Respiratory Health

  • The primary factor responsible for dust gaining entrance to the alveolar regions of the lung is inhalation.

Coefficient of Variation

  • The coefficient of variation is a relative measure of variability that is expressed as the ratio of the standard deviation to the mean.

Skin Impregnation

  • Local or generalized grey-blue colored impregnation of the skin tissue is an indication of argyria, a condition caused by exposure to silver.

Permissible Exposure Levels

  • The correct permissible exposure level for 2% crystalline quartz dust in the tunnel atmosphere is 0.05 mg/m³.

Radioisotopes

  • A radioisotope with a half-life of 1 year will take 5 years to reduce the initial activity to less than 5%.

Exposure to Chemical Mixtures

  • The worker's exposure to the mixture of toluene, acetone, and MEK can be calculated using the formula for mixed exposures: (12.5/50) + (200/500) + (100/200) = 0.25 + 0.4 + 0.5 = 1.15.

Gas Volume

  • The volume of gas at 460 degrees Rankine can be calculated using the formula: V2 = V1 × (T2 / T1) = 150 ml × (460 + 460) / (120 + 460) = 242.5 ml.

Hearing Evaluation

  • The effectiveness of hearing can be evaluated using the formula: [insert formula].

This quiz covers decision theory and hypothesis testing. It includes questions on selecting the appropriate test for testing the significance of a departure from the hypothesis, as well as computing various measures for a given sample distribution. Test your knowledge and enhance your understanding of these concepts with this quiz.

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