Intro Stats questionSolution1 SSE n2s2 4134722 49425 2 Exp

Intro Stats question

Solution

1).

SSE= (n-2)s² = 41*3.472² = 494.25

2).

Expectation = np = 11.25

Variance = np(1 - p) = 6.1875

Standard deviation = 2.4875

For continuity correction we take x=7.5,

Z value for 7.5, z=( 7.5-11.25)/2.4875 = -1.51

P( x >7.5) = p( z > -1.51)

= 0.9345

3).

Z value for at least 90% = -1.282

Z value for at least 65% = -0.385

Therefore we get the two equations,

X-1.282*sd=36

X-0.385*sd=42

Solve this we get sd=6.7 X= 44.6