Is this correct?

Adults aged 16 or older were assessed in three types of literacy: prose, document, and quantitative. The scores in document literacy were the same for 19- to 24- year-olds and for 40- to 49- year olds. A random sample of scores from a later year showed the following statistics

Construct a 90% confidence interval for the true difference in mean scores for these two groups. Round values to two decimal places.

_ Age group Mean score Population Standard Sam pie size deviation 1924 2H] 56.3- 40 dill49 325 52.2 3 5 11 = 40. 12=35, X1=270, X2=325, Of = 56.3, 05-52.2 90% Z a/2 = 1.65 (X1 - X2) - Zan jolt ol (1-U2 > -34.319 = -75.68 > H1-2 > -34.32