The area under the standard normal curve to the right of z is .0505 and z is positive. The value of z is:

Answer 1

By the empirical rule,

95% of the area is between z=-2 and z=+2 and 5%/2 to the right of z=+2

2.5% = 0.025 is to the right of Z=2 so for .0505 the z score < 2

z=1.64 has .0505 to the right

You can find it in z-tables or an online z calculator