(b) the mean score for a class sitting a physics test is 46, with stan- dard deviation of 4. the mean score for the same class in a chem- istry test is 77, with standard deviation of 9. each set of scores is normally distributed. which is more likely: a student gets over 90 on the chemistry test, or over 52 on the physics test? [7 marks

Step-by-step explanation:

Let X be the mean score for physics test, and Y be the mean score for Chemistry test

Given that X is normal N(46,4)

Y is N(77,9)

when y>52 and x >90 to compare we have to convert these into corresponding Z scores

⇒

For

Since Z>1.444 has more area than z>1.5 we find that it is more likely that

a student gets over 90 on the Chemistry test

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!