In recent years major league baseball games have averaged three hours in duration. however, because games in denver tend to be high-scoring, it might be expected that the games would be longer there. in 2018, the 81 games in denver averaged 185.54 minutes with standard deviation 24.6 minutes. what would you conclude?

We conclude that the games in Denver would be longer than major league baseball games.    

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 180 minutes

Sample mean, = 185.54 minutes

Sample size, n = 81

Alpha, α = 0.05

Sample standard deviation, s = 24.6 minutes

First, we design the null and the alternate hypothesis

We use one-tailed t test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since,                      

We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis.

We conclude that the games in Denver would be longer than major league baseball games.

the answer will be

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this