Question

A study randomly assigned students to listen to music by Mozart or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. Assume both memory scores are approximately normally distributed.

Group	Music	n	x	s
1	Mozart	20	10.021	3.193
2	No Music	15	12.779	3.432

Test if there is a difference in the mean memory scores between the two groups at ?=0.10.

Find the p-value of the test.

What is the power of the test in (a) to detect a true difference in mean memory scores of 5?

What sample size is required in each population to obtain a power of 0.90 at a true difference in means of 3?

Answer 1

Slukom Given thal Null y Potheses Ho: -th re is mo difernie i Altomahve Mp= 15, xa 치2-779' &2 = 3.432 2o x 3.193 t 15 X 3 432 o tI5-2 11.533 10.021-12-7 1.53y I 2-38 1、15996

9.38 010 Citen value o 0, 33 l6q c9eticol it l = 2.33 > 1.69 Jtene, ae many Contlucb P valve-ד DIS7 (2.33, 33 2): o.o2 607 accepte whese Ho s matem J, 凤-无1-5 2.758-5 15996 mi 1.9328 o 4381