Lakhasly

4 a) Home heating costs Vs Size Hypothesis H0: There is no significant relationship between home heating cost and size H1: There is a significant relationship between home heating cost and size Significance=0.05/2=0.025 Z=1.96 Decision criteria; Reject H0 if t static is greater than 1.96 and accept H1 Observed value of t statistics=3.78>1.96, we reject H0 and accept H1 Observed value of P-value=0.006 Decision; There is a significant relationship between home heating cost and size

Home heating costs vs Windows Hypothesis H0: There is no significant relationship between home heating cost and windows H1: There is a significant relationship between home heating cost and windows Significance=0.05/2=0.025 Z=1.96 Decision criteria; Reject H0 if t static is greater than 1.96 and accept H1 Observed value of t statistics=1.62<1.96, we reject H1 and accept H0 Observed value of P-value=0.1154 Decision; There is no significant relationship between home heating cost and windows ii) Home heating costs Vs Occupants Hypothesis H0: There is no significant relationship between home heating cost and Occupants H1: There is a significant relationship between home heating cost and Occupants Significance=0.05/2=0.025 Z=1.96 Decision criteria; Reject H0 if t static is greater than 1.96 and accept H1 Observed value of t statistics=2.25>1.96, we reject H0 and accept H1 Observed value of P-value=0.0316 Decision; There is a significant relationship between home heating cost and windows

4
a)
Home heating costs Vs Size
Hypothesis
H0: There is no significant relationship between home heating cost and size
H1: There is a significant relationship between home heating cost and size
Significance=0.05/2=0.025
Z=1.96
Decision criteria; Reject H0 if t static is greater than 1.96 and accept H1
Observed value of t statistics=3.78>1.96, we reject H0 and accept H1
Observed value of P-value=0.006
Decision;
There is a significant relationship between home heating cost and size

Home heating costs vs Windows
Hypothesis
H0: There is no significant relationship between home heating cost and windows
H1: There is a significant relationship between home heating cost and windows
Significance=0.05/2=0.025
Z=1.96
Decision criteria; Reject H0 if t static is greater than 1.96 and accept H1
Observed value of t statistics=1.621.96, we reject H0 and accept H1
Observed value of P-value=0.0316
Decision;
There is a significant relationship between home heating cost and windows