Indiana State University has asked that instructors provide information regarding pass/fail rates in Math 241.The University is provided with a random sample of 31 final exam scores from the Spring semester and notes the following summary statistics:

mean exam score of sample (out of 100 points)84 points

standard deviation of sample3 points

Assuming the distribution of the sample is unimodal and symmetric, and t₃₀=1.697, calculate a 90% confidence interval for the true average test score of all Math 241 students.Explain this interval in context of the problem using complete sentences.