Question 13 A researcher randomly selects 6 fathers who have

Question 13

A researcher randomly selects 6 fathers who have adult sons and records the fathers

Solution

mean(Ui) = sum of heights/ number of observations

variance = sumof (height - mean)^2/number of observations

standard deviation(Si) = sqrt(variance)

Hypothesis:

null hypothesis : Ho: u1 <=u2

alternate hypothesis Ha: u1>u2

test static:

t = u1-u2/sqrt[(s1^2 + s2^2)/N]

= 67.93 - 69.33/sqrt[ (2.121^2 + 3.817^2)/6]

= -0.7853

degrees of freedom = N-1 = 5

critical value = to = 1.47588

Do not reject Ho because to is greater than -t