Answer:
The 90% confidence interval
The null hypothesis is
The alternative hypothesis
The distribution test statistics is
The rejection region is p-value <
The decision rule is reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that there are more passengers riding the 8:30 train
The p-value is
Step-by-step explanation:
From the question we are told that
The first sample size
The first sample mean is
The first standard deviation is
The second sample size is
The second sample mean is
The second standard deviation is
given that the confidence level is 90% then the level of significance is mathematically represented as
Generally the critical value of obtained from the normal distribution table is
Generally the pooled variance is mathematically represented as
Generally the standard error is mathematically represented as
=>
=>
Generally the margin of error is mathematically evaluated as
Generally the 90% confidence interval is mathematically represented as
The null hypothesis is
The alternative hypothesis
Generally the test statistics is mathematically represented as
=>
=>
Generally the degree of freedom is mathematically represented as
The p-value is obtained from the student t distribution table at degree of freedom of 73 at 0.05 level of significance
The value is
Here the level of significance is
Given that the p-value < then we reject the null hypothesis
Then the conclusion is
There is sufficient evidence to conclude that there are more passengers riding the 8:30 train