Interactive Investors Asset Trading Platform
Interactive Investors is a well-known asset trading platform used by the citizens of Eldorado. The company plans to improve the platform by adding a feature that would expedite the transaction times.
The company randomly sampled 64 trades and had the new improved platform used for all these transactions. The average transaction time is found to be 25 milliseconds with a standard deviation of 4 milliseconds.
1. Establish the null and alternative hypotheses if Interactive Investors wants to prove whether the average transaction time is different from 28 milliseconds (the average transaction time prior to the change)?
2. Establish the null and alternative hypotheses if Interactive Investors wants to demonstrate whether the average transaction time is less than 28 milliseconds.
3. What should Interactive Investors do if it were to use a level of significance (α) of 0.01 in question 1.
4. What should Interactive Investors do if it were to use a level of significance (α) of 0.01 in question 2.
5. Determine the critical values of the sample mean both of which will cause the alternative hypothesis to be accepted in 1. Use a level of significance (α) of 0.01.
6. Determine the critical value of the sample mean which will cause the alternative hypothesis to be accepted in 2. Use a level of significance (α) of 0.01.
7. How could Type I and Type II errors happen in the context of this problem?
