Question

1. In our sample of 42 students, we are interested in whether the amount of money students think a first date should cost is different based on whether they are in a romantic relationship or not. The mean amount stated by the 21 students in a relationship was $58.81, with a standard deviation of $47.17, while the 21 students not in a relationship thought first dates should cost a mean of $48.10 with a standard deviation of $24.16. State the null and alternative hypotheses, conduct the appropriate type of t test, and write a conclusion interpreting your findings.

Answer 1

Null hypothesis

vs

Alternative hypothesis

For sample 1                      
                      
Sample mean=58.81          
Sample standard deviation=47.17          
Sample size=21          
                      
For sample 2                      
                      
Sample mean=48.1          
Sample standard deviation=24.16          
Sample size=21          
                      
The test statistic is defined by the two-sample t statistic                      
                      


=0.93                  
                      
t test statistic for mean difference=0.93  

P value is = 0.3635...........................by using Excel command TDIST(0.93,20,2)

P value is = 0.3635 > 0.05

Therefore, we fail to reject H0 at

We do not have sufficient evidence at to say that , the amount of money students think a first date should cost is different based on whether they are in a romantic relationship or not.