Answer:
0.4496
Step-by-step explanation:
Mean u = 96
Sd² = 225
Sd = √225
= 15
n = 76
Bar x is the mean
Bar x follows an approximately normal distribution
sd/√n = 15/√76
= 1.720618
The probability that bar x would differ from mean by less than -1.3
P(-1.3<z<1.3)
P(-1.3/1.720618 <z <1.3/1.720618)
= P(-0.756 < z < 0.756)
= P(z<0.756)-p(z<-0.756)
= 0.7752-0.2242
= 0.5504
To get the probability
1-0.5504
= 0.4496
