Answer:
The decision rule is
Reject the null hypothesis
The test statistics is 
Step-by-step explanation:
From the question we are told that
The first sample size is 
The mean at first deployment is 
The standard deviation is
The second sample size is 
The mean at second deployment is 
The standard deviation is 
The null hypothesis is 
The alternative hypothesis is 
The level of significance is 
Generally the degree of freedom is mathematically represented as

=> 
=> 
Generally the pooled variance is mathematically represented as

=> 
=> 
Generally the test statistics is mathematically represented as
![t = \frac{ \= x_1 - \= x_2 }{\sqrt{s_p [\frac{1}{n_1} + \frac{1}{n_2} ]} }](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%20%5C%3D%20x_1%20-%20%5C%3D%20x_2%20%7D%7B%5Csqrt%7Bs_p%20%5B%5Cfrac%7B1%7D%7Bn_1%7D%20%2B%20%5Cfrac%7B1%7D%7Bn_2%7D%20%5D%7D%20%7D)
=> ![t = \frac{ 150000 - 180000 }{\sqrt{1.11579 *10^{9} [\frac{1}{15} + \frac{1}{25} ]} }](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%20150000%20-%20180000%20%7D%7B%5Csqrt%7B1.11579%20%2A10%5E%7B9%7D%20%5B%5Cfrac%7B1%7D%7B15%7D%20%2B%20%5Cfrac%7B1%7D%7B25%7D%20%5D%7D%20%7D)
=> 
Generally from the t distribution table the probability corresponding to the t statistics value to the left is

Generally the p -value is mathematically represented as

=> 
=> 
From the obtained value we see that the
hence
The decision rule is
Reject the null hypothesis