Question

r - 10 of significance Ne Anomal b ond beplot of the dance thei TEC The con lower the late of UA They did the The weitere C. The method results in a dependent sample 0. The method results in a n d ample DE The sangere no more than the population LedXY, We the potes for the 6- round two decimal places rooted P o und the decades as needed) Gak to select your newer) Type bere to search o an e da ay oco

Answer 1

a)

select

The sample size is no more than 5% of the population size.
The sampling method results in a dependent sample.
The differences are normally distributed or the sample size is large.

b)

X = father

Y = son

since we want to test if sons are taller that therir father or equivalenty

are fathers shorter than their sons

Ho: Md = 0 Hii Hd <0

c)

data

68.7	73.8
72.9	76.4
69.2	71.6
72.9	74.7
66.9	68.1
70.2	70.8
68.6	68.7
72.9	72.2
70.4	69.2
71.2	69.3
68.7	66.2
73.3	69.7
66.6	61.5

Using Excel

data -> data analysis -> t-Test: Paired Two Sample for Means

t-Test: Paired Two Sample for Means
	Variable 1	Variable 2
Mean	70.1923	70.1692
Variance	5.3691	14.8640
Observations	13	13
Pearson Correlation	0.6668
Hypothesized Mean Difference	0
df	12
t Stat	0.0288
P(T<=t) one-tail	0.4887
t Critical one-tail	1.3562
P(T<=t) two-tail	0.9775
t Critical two-tail	1.7823

t = 0.03

p-value = 1 - 0.4887 = 0.511

if p-value < alpha, we reject the null hypothesis

if p-value > alpha, we fail to reject the null hypothesis

Do not reject H, because the P-value is greater than the level of significance. There is not sufficient evidence to conclude that sons are taller than their fathers at the 0.01 level of significance.

alpha = 0.1

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