A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is the 95% confidence interval for the mean score, , of all students taking the test

The 95% confidence interval for the mean score, , of all students taking the test is

Step-by-step explanation:

From the question we are told that

    The sample size is

    The mean score is  

     The standard deviation

Generally the standard deviation of mean is mathematically represented as

substituting values

The degree of freedom is mathematically represented as

substituting values

Given that the confidence interval is 95%  then the level of significance is mathematically represented as

        5%

Now the critical value at  this significance level and degree of freedom is

Obtained from the critical value table  

    So the the 95% confidence interval for the mean score, , of all students taking the test is mathematically represented as

substituting value