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Take a Test -Andrea Montgomery-Google Chrome Secure I https://www.mathxlcom/Student/PlayerTestaspitestid-167153937ac ten nyes MAT 135C01 Intro to Statistics: MA1 FA17 (Dale Blake Test: Module 4 Test (Chapters 8, 9, 10, 11) Time Remaining: 02 55.11 Submit Test This Question: 1 pt 16 of 2010 complete) This Test: 20 pts possible ot A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons'heights to obtain the data below Determine if sons are taler than their fathers at the .1 level of significance The normal probability plot and boxplot indicate that the iter ences are app mately nemaly a at Red mamn Observation Height of father (in inches) Height of son (in inches) 738 683 70.1 736 69 2 68.7 741 68.1 69 6 74.4 670 678 Using the differences (fathers height) -(son's height), what is your conclusion regarding Ho? O Reject Ho because to is greater than 0 Reject Ho because to is less than-t O Do not reject Ho because to is greater than Do not reject Ho because to is less than Click to select your answer

Explanation / Answer

sample size,n = 6
sample mean,d_bar =  -1.41667
standard deviation,Sd = 2.22658
alpha,a = 0.1
.
H0: d = 0
H1: d < 0 (Since we are testing that sons are taller)
.
test statistic, t0 = d_bar/(Sd/sqrt(n))
t0 = -1.41667 / (2.22658/sqrt(6)) = -1.55849
.
critical value = - t(a,n-1) = - t(0.1, 5)
critical value = - 1.476
.
since t0 < critical value, hence reject H0
So, we conclude that sons are taller than their fathers.

b. Reject H0 because t0 is less than -ta

please rate it ,if it helps you

father's Height sons's height difference 73.8 74.1 -5.5 68.3 68.1 -0.2 70.1 69.6 -0.5 73.6 74.4 0.8 69.2 67.0 -2.2 68.7 67.8 -0.9 mean = -1.41667 standard deviation = 2.22658

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