Answer:
The answer for (a)(-5.96, 2.36) (b) -1.8, since the difference is negative, it can be said or determined that the age of the grandfather is older
Step-by-step explanation:
Solution
(a) From the information given,
n = 10, d =-1.8, sd = 5.81
The 95% confidence interval for the population mean difference age is computed as follows:
CI =d ±tα/2,n-1 (sd/√n)
= -1.8±t₀.₀₅/₂,₁₀₋₁ (5.81/√10)
=-1.8± 2.26 (1.84)
= -1.8 ± 4.16
= (-5.96, 2.36)
Now,
There is a 95% confidence that the mean difference in age of maternal grand parents of high school students lies between - 5.96 and 2.36
(b) The age difference is calculated as the age of grand mother minus age of grand father. the point of estimate for the mean difference is as follows:
Xd = XGM - XGF
= 69.8 -71.6
=-1.8
Therefore, since the difference is negative, it can be said or determined that the age of the grandfather is older
Note: kindly find an attached copy of the complete question and table to this example below.
