Question

1 2. A researcher claims that American 18 year old females are, on an average, taller than the British 18 year old females. To test this claim, a random sample of 50 American females and/50 British females was taken and their measurments are summaried as follows: ng American British Average height (in inches) X = 65.2 X 2 = 64.5 Standard deviation $ 2.5 5 = 2.8 Test the hypothesis that American females are taller than their British Counterparts at a 0.05​

Answer 1

x=$5.6 this is the correct answer

Answer 2

Answer:

Sample Size is greater than 30 so, use Z Test

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

Given

n1 = 50 n2 = 50

x̄1 = 65.2 x̄2 = 64.5

s1 = 2.55 s2 = 2.8

z = x̄1 - x̄2 / √(s1²÷n1 + s2²÷n2)

z = 65.2 - 64.5 / √(6.5025÷50 + 7.84÷50)

z = 1.3071

Table Value @5% level of significance = 1.96

Calculated Value < Table Value

Ho is Accepted