An article reported on a study of the effect of temperature and other factors on gas transport coefficients in semi crystalline polymers. The permeability coefficient (in $10^{-8} cm^3 (STP)/cm \cdot s \cdot MPa$) of $CO_2$ was measured for extruded medium-density polyethylene at both 60°C and 61°C. The results are as follows:
#50°C: 54 51 61 67 57 69 60 60 63 62
#51°C: 58 60 66 66 68 61 60
Download dataset ex5-6-12.csv Download
5-6. Find a 95% confidence interval for the difference in the permeability coefficient between 60°C and 61°C. Report your answer as a confidence interval for $\mu_{60^\circ C} - \mu_{61^\circ C}$
Lower bound for confidence interval:
Upper bound for confidence interval:
Question 5
Question 6
7. Based on your confidence interval from the previous problem, can you conclude that the mean permeability coefficient at 60°C differs from that at 61°C at the 0.05 level of significance?
A. Yes, because the 95% confidence interval includes 0
B. No, because the 95% confidence interval includes 0
C. Yes, because the 95% confidence interval does not include 0
D. No, because the 95% confidence interval does not include 0
E. It is impossible answer this question only using the 95% confidence interval.
