Answer:
300 and 700
Step-by-step explanation:
-We use the t-statistic and sample mean to generate the desired confidence interval.
-Given that the average score is 500 and standard deviation is, we calculate the confidence interval as:
[tex]\mu=\bar \x\pm t(s_M)\\\\=500\pm1.96\times 100\\\\={304.00,696.00]\approx [300,700][/tex]
Hence, the expected scores is approximately between 300 and 700