Question

A major cause of injuries in highway work zones is weak construction barriers. One federal government road-barrier specification involves the velocity of a front-seat passenger immediately following impact. This mean impact velocity must be less than 12 m/s. TSS GmbH, a German company, has just developed a new high-impact road barrier with special absorbing material. In controlled tests the impact velocity was measured for 14 randomly selected crashes. The sample mean was 11.85 m/s. Assume the distribution of impact velocities is normal and σ = 0.56. Please use 3 decimal places in all calculations.

b) Find the probability of the Type II error if the true mean impact velocity is μ_a = 11.6; that is, find β(11.6). Assume that α = 0.05.

c) what is the R code for b)?

Answer 1

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