Question

Whole 30 Calorie Counters Standard Deviation 4.20 3.42 2.41 3.06 3.04 2.58 3.48 2.93 2.68 2.02 3.51 1.85 2.79 4.05 2.55 2.87 2.95 2.31 4.56 3.11 3.23 1.85 2.74 4.58 1.71 2.97 4.43 3.13 3.32 4.21 3.29 2.53 3.00 1.40 2.83 2.11 3.82 3.37 2.44 3.30 3.72 Mean Standard Deviation 5.06 4.36 5.13 6.22 6.89 6.89 4.78 3.85 4.30 4.52 5.79 5.25 6.90 4.53 4.03 5.55 5.28 6.25 5.29 5.51 3.51 5.04 4.51 5.51 4.60 4.57 4.53 5.14 3.38 4.98 4.16 6.11 6.68 4.28 4.77 6.37 4.35 4.44 5.21 4.63 3.84 Mean 7.0 10.6 10.6 10.2 7.0 7.0 10.5 10.0 10.4 10.6 Paired Differences Diet Simulation Results

Answer 1

I have done the part "a" of the question in the pic that I have attached with "b".

b)

Column1	Column2	Column3
t-Test: Two-Sample Assuming Equal Variances
	Variable 1	Variable 2
Mean	9.123809524	6.814285714
Variance	0.632590012	1.485644599
Observations	42	42
Pooled Variance	1.059117305
Hypothesized Mean Difference	0
df	82
t Stat	10.28395243
P(T<=t) one-tail	1.02818E-16
t Critical one-tail	1.663649184
P(T<=t) two-tail	2.05636E-16
t Critical two-tail	1.989318557

c)

Column1	Column2	Column3
t-Test: Paired Two Sample for Means
	Variable 1	Variable 2
Mean	9.123809524	6.81428571
Variance	0.632590012	1.4856446
Observations	42	42
Pearson Correlation	0.224564186
Hypothesized Mean Difference	0
df	41
t Stat	11.53789178
P(T<=t) one-tail	9.3677E-15
t Critical one-tail	1.682878002
P(T<=t) two-tail	1.87354E-14
t Critical two-tail	2.01954097

all hand written conclusions are drawn on the basis of the tables that I have attached with answer "b" and "c",and answer "d" is based on them.