Question

Kindergarten places in New York City are very competitive; the acceptance rate at several public schools is lower than that of Columbia University. For one particular school, children are required to do a test with a school-appointed psychologist, and following is a random sample of 10 test scores: 101 107 117 120 115 107 112 109 101 111.

Answer 1

solution c) Here n=10, x= 110, s = 6.32 d.f=n-1=10-1=9, At 95%. ta/₂= 2-262 The 95% (-I for alles I tapa (A) = 110 £2-262 (532) = 10 + 4-521=(105.479,14:521) d) we are 95% confident the true propulation mean lies with in the interval 105.179 and 114.521 e here a=no. of values above 118 =1, n=10 then ² = 2 = + =01, At ax. 60%. , Zx = 0.84 The 60% C I for p is Ø I zdję $ 73 0.1+0-84 0:1 (0-9) =0.1 20.0797= (0.0203, 0.1797) 10