Afinal exam in math 160 has a mean of 73 with a standard deviation 7.8. if 24 students are randomly selected, find the probability that the mean of their test scores is less than 70.a: 0.1006b: 0.0278c: 0.9699d: 0.0301

 Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Mean = 73

Standard deviation = 7.8

Number of students are randomly selected = 24

So, n = 24.

Since it is normally distributed , so, we have

[tex]P(x<70)=P(z<\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}})=P(z<\frac{70-73}{\frac{7.8}{\sqrt{24}}}\\\\P(z<\frac{-3}{1.592})\\\\=P(z<-1.88)\\\\=0.03005=0.0301/tex]

Hence, Option 'D' is correct.

2 x 503

step-by-step explanation:

its 1006

this is a good question! i'll do some research and come back when i have the answer!