You need to provide a picture because I cannot see the problem.
Answer: No, New York students are not truly more nerdy than the California students.
Step-by-step explanation:
Since we have given that
Number of students in a group = 50
Mean score of New York psychology = 530
Mean score of California psychology = 515
Standard deviation = 80
So, we will find t-distribution first.

Let α = 5% = 0.05
So, 
Since t < t(critical value)
No, New York students are not truly more nerdy than the California students.
Answer: a) (176.76,172.24), b) 0.976.
Step-by-step explanation:
Since we have given that
Mean height = 174.5 cm
Standard deviation = 6.9 cm
n = 50
we need to find the 98% confidence interval.
So, z = 2.326
(a) Construct a 98% confidence interval for the mean height of all college students.

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?
Error would be

Hence, a) (176.76,172.24), b) 0.976.
If you multiply the dark inside one and the outside one then add them up it will give you the answer!<span />