Answer:
There is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm
Step-by-step explanation:
From the question we are told that
The sample size for each algorithm is
The sample mean for new algorithm is
The standard deviation for new algorithm is
The sample mean for the current algorithm is
The standard deviation for current algorithm is
The level of significance is
The null hypothesis is
The alternative hypothesis is
Here are population mean for new and current algorithm
Generally the test statistics is mathematically represented as
=>
=>
Generally the p-value is mathematically represented as
From the z-table
=>
From the calculated value we see that hence the null hypothesis is rejected
Hence we can conclude that there is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm