Tdistribution to construct a confidence interval question

[joe98]

The following are summary statistics for a data set. Would it be appropriate to use the
Student's t- distribution to construct a confidence interval for these data?
Explain clearly!

Sample size = 10
Mean = 8.905
Median = 6.105
Standard deviation = 9.690
Minimum = 0.512
Maximum = 39.920
Q1 = 1.967
Q3 = 8.103

My answer would be it would be appropriate since n is less than 40(small sample size), we can use t distribution

also the population should be normally distributed

Any other explanations guys

 

[joe98]

Any thoughts guys?

 

[joe98]

Any ideas guys?