QUESTION 1 (2 POINTS) A rocket motor is formed by binding an igniter propellant

Question

QUESTION 1 (2 POINTS) A rocket motor is formed by binding an igniter propellant and a sustainer propellant together inside a metal housing. The shear strength of the bond between the two propellant types is an important characteristic. The results of testing 10 randomly selected motors are shown in the following table. Shear strength (psi) data: 2158.7, 1678.2, 2316, 2061.3, 2207.5, 1708.3, 1784.7, 2575.1,2357.9, 2256.7 We would like to perform a one sided test on the mean strength is 2000psi Ho : = 2000 H1 :

Explanation / Answer

a)

T statistic = 2110.44 - 2000 / [299.93/sqrt(10)] = 1.161

p value = p [T > 1.161] = 0.1372

b)

Acceptance region T statistic < 2.821

here T critical = 2.821 on 9 degrees of freedom at 1%

c)

we conclude that there is no sufficient evidence that the true mean score is more than 2000

since p value = 0.1372 > 0.01

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