A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random sample of 14 cars shows an average speed of 24.0 mph, with a sample standard deviation of 2.2 mph. Assume that the speeds of cars are normally distributed. What is the p-value?

The degrees of freedom are given by:

The p value for this case would be given by:

Step-by-step explanation:

Information given

represent the mean height for the sample  

represent the sample standard deviation

sample size  

represent the value that we want to test

t would represent the statistic

represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic would be given by:

 (1)  

Replacing the info given we got:

The degrees of freedom are given by:

The p value for this case would be given by:

s

step-by-step explanation: