Statistics Assignment

Running Head: STATISTICS ASSIGNMENT
Statistics Assignment
Name of the Student
Name of the University
Student ID

STATISTICS ASSIGNMENT1
Table of Contents
Answer 1....................................................................................................................................3
Part A.....................................................................................................................................3
Part B......................................................................................................................................3
Part C......................................................................................................................................3
Part D.....................................................................................................................................3
Part E......................................................................................................................................4
Answer 2....................................................................................................................................4
Part A.....................................................................................................................................5
Part i...................................................................................................................................5
Part ii..................................................................................................................................5
Part iii.................................................................................................................................5
Part B......................................................................................................................................5
Part C......................................................................................................................................5
Part D.....................................................................................................................................6
Answer 3....................................................................................................................................6
Part A.....................................................................................................................................6
Part B......................................................................................................................................6
Part C......................................................................................................................................7
Part D.....................................................................................................................................8
Part E......................................................................................................................................9

STATISTICS ASSIGNMENT2
Part F......................................................................................................................................9
Part G.....................................................................................................................................9
Part H.....................................................................................................................................9
Part I.......................................................................................................................................9
Part J.......................................................................................................................................9
Part K...................................................................................................................................10
Part I.....................................................................................................................................10

STATISTICS ASSIGNMENT3
Answer 1
Part A
Null Hypothesis (H0): X ≤ Y
Alternate Hypothesis (HA): X > Y
Part B
Test Statistic (t) =
X −Y
√ SX
2
nX
+ SY
2
nY
= 9.0941−10.4333
√ 1.7994 ×1.7994
12 + 1.719 ×1.719
12
=−1.8641
Part C
Average of the difference = - 1.3992
SD of the difference = 0.8881
Number of observations = 12
SE = 1.96× SD
√n = 1.96 ×0.8881
√12 =0.5025
Lower Confidence limit = Average – SE = - 1.3992 – 0.5025 = - 1.8416
Upper Confidence limit = Average + SE = - 1.3992 + 0.5025 = - 0.8367
Part D
P-Value = P [t ≥ - 1.86] = 0.9621.
From the 95% confidence interval obtained, it can be said with 95% confidence that
the difference between the diets X and Y will lie between – 1.84 and – 0.84. Further, it can be
said from the p-value that it is higher than the level of significance (0.05). Thus, the null
hypothesis is accepted and hence can be said that diet X is superior than diet Y.