Question

Do you think that the engineers' claim at Morton Thiokol was reasonable (use an alpha of 0.05)? Q6. Please state your hypothesis. а) НО: B1 — 0, На: B1 > 0 b) H0: B1 0, Ha: B1 <0 с) НО: B1 3D 0, На: B1 20 d) HO: ВО — 0, На: В0 <0 Q7. What type of test you will be using to test the hypothesis? a) t-test b) independent samples t-test c) F-test d) z-test Q8. What is the value of the test statistic? а) 3.63 b) 3.93 с) -3.63 d) -3.93 Q9. What is the p-value? a) 0.00154 b) 0.00078 c) 0.05 d) 0.025 Q10. What is the rejection criteria? Reject H0 if a) p-value 0.05 b) p-value <0.10 c) p-value < 0.025 d) p-value > 0.05 Q11. What is your conclusion? a) Reject H0 b) Fail to Reject H0 c) Reject Ha d) Fail to Reject Ha Q12. Based on your regression equation, what would your prediction of the O-ring damage for an atmospheric temperature of 32F, the temperature on the morning of the launch of Challenger. а) 25.3 b) 10.6 с) 32 d) 8.1 What would be the orrelation between the O-ring damage index and the Q temperature? а) 0.62 b) -0.62 с) 0.38 d) -0.38

Answer 1

6)The hypothesis is two.sided and so the answer is

c)

Ho B10(VsHa B10

7)The test used for testing slope coefficient is a)t-test

8)The value of test statistic is given as

^t1/se(B1)

^{the value is c)-3.63}

^{9) The p-value is d)0.025}

^{10)The rejection criteria is reject
0
if a)p-value < 0.05}

^{11) The conclusion is given as a)reject H}₀

_{12)The O ring damage when the atmospheric pressure is 32F =18.03 - 0.23(32) = b)10.6}

_{13) The correlation coefficient between O ring index and temperature is given as r = COV(x,y)/ SD(x)SD(y) =b) -0.62}