Answer:
The decision rule is
Reject the null hypothesis
The test statistics is

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 [(1)/(n_1) + (1)/(n_2) ]} }](https://img.qammunity.org/2021/formulas/mathematics/college/2up1306rwg56wke3y2ey1j0ysmxjyh0p0t.png)
=>
![t = \frac{ 150000 - 180000 }{\sqrt{1.11579 *10^(9) [(1)/(15) + (1)/(25) ]} }](https://img.qammunity.org/2021/formulas/mathematics/college/4efqw7llzmuy0kzthqmcyk2fahymxjhre9.png)
=>

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