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The burning rates of two different solid-fuel propellants used in aircrew escape systems are being studied....

The burning rates of two different solid-fuel propellants used in aircrew escape systems are being studied. It is known that both propellants have the same standard deviation of burning rate; σ1 = σ2 = 3 centimetres per second. Two random samples of n1 = n2 = 20 are tested; the sample mean burning rates are 8 and 24 centimetres per second respectively. Construct a 95% upper bound on the difference in means μ1 − μ2. Please report your answer in 2 decimal places.

math   Statistics-And-Probability   
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Answer #1

95% upper bound for 1 - 2 is

(1 - 2 ) + Z * sqrt [ 2 / n1 + 2 / n2 ]

= (8 - 24) - 1.96 * sqrt [ 32 / 20 + 32 / 20 ]

= -14.14

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