A recent study claims that business travelers spend an average of $41 per day on meals. A sample of 16 business travelers found that they had spent an average of $45 per day with a standard deviation of $3.65. If a = 0.05, what are the critical values?

And the significance level is and since we are conducting a bilateral test then the critical values are founded with the t distribution with 15 degrees of freedom and we got:

Step-by-step explanation:

Information given

represent the sample mean

represent the sample standard deviation

sample size  

represent the value that we want to test

represent the significance level for the hypothesis test.  

t would represent the statistic

represent the p value

System of hypothesis

We want to determine the true mean is 41 per day, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

We need to find the degrees of freedom first:

And the significance level is and since we are conducting a bilateral test then the critical values are founded with the t distribution with 15 degrees of freedom and we got:

e) none of the above because the measure of angle cba is 101°

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