b) A substance is used to increase the reaction rate at a chemical concentration. When the amount of this substance was added 1.5mol / L, the average reaction rate was found to be 7.5 Mmol / 30min and the standard deviation of 1.5 at the end of the trial 15 times. When the amount of substance was put in 2mol / L, the average reaction rate was found as 8.8Mmol / 30min and the standard deviation was 1.2 after 12 trials. Did increasing the amount of this substance increase the reaction rate by 0.5Mmol / 30min? Test at 99% confidence level, assuming that population variances are equal.

Question

b)	A substance is used to increase the reaction rate at a chemical concentration. When the amount of this substance was added 1.5mol / L, the average reaction rate was found to be 7.5 Mmol / 30min and the standard deviation of 1.5 at the end of the trial 15 times. When the amount of substance was put in 2mol / L, the average reaction rate was found as 8.8Mmol / 30min and the standard deviation was 1.2 after 12 trials. Did increasing the amount of this substance increase the reaction rate by 0.5Mmol / 30min? Test at 99% confidence level, assuming that population variances are equal.

Bot · Answer

Answer: Yes, increasing the amount of this substance increased the reaction rate by 0.5Mmol/30min. This can be tested using a two-tailed t-test at a 99% confidence level, assuming that population variances are equal. The t-test statistic is 3.33, which is greater than the critical value of 2.58. Therefore, the null hypothesis that the reaction rate did not increase by 0.5Mmol/30min can be rejected.