Answer:
 
  
P-value  
First we find the degrees of freedom given by:

Since is a two-sided test the p value would be:  
 
  
Step-by-step explanation:
Data given and notation  
 represent the sample mean
 represent the sample mean 
 represent the sample standard deviation
 represent the sample standard deviation 
 sample size
 sample size  
 represent the value that we want to test
 represent the value that we want to test  
 represent the significance level for the hypothesis test.
 represent the significance level for the hypothesis test.  
z would represent the statistic (variable of interest)  
 represent the p value for the test (variable of interest)
 represent the p value for the test (variable of interest)  
State the null and alternative hypotheses.  
We need to conduct a hypothesis in order to check if the mean differs from 4.73, the system of hypothesis would be:  
Null hypothesis: 
  
Alternative hypothesis: 
  
Since we know don't the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  
 (1)
 (1)  
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  
Calculate the statistic  
We can replace in formula (1) the info given like this:  
 
  
P-value  
First we find the degrees of freedom given by:

Since is a two-sided test the p value would be:  
