The heights in centimetres of men in a sample selected at random may be modelled by a normal distribution with mean 180.5 and standard deviation 11.3.

Question

1 Choose the option that is closest to the value above which 30% of the heights of men will lie.
Options for Question1
A 174.57 B 180.32 C 180.50 D 186.43 E 198.33 F 200.50
2 Choose the option that is closest to a range of values,symmetric
about the mean, within which the heights of approximately 80% of
men will lie.
Options for Question 2
A (157.0, 194.0) B (159.2, 201.8) C (167.8, 193.2) D (163.0, 198.0) E (166.0, 195.0) F (168.7, 192.2)
3 Choose the option that is closest to the percentage of heights of men below 170 cm.
Options for Question 3
A 17% B 18% C 19% D 40% E 41% F 42%

Answer 1

Use the second applet for your question

http://davidmlane.com/hyperstat/z_table.html

It is more accurate than tables and you don't even have to convert to z-scores.

Answer 2

does it mean that:
1. is D
2. is E
3. is B ?
Regards.