Question

1. In the standard normal and t distributions, the 2-sided 10% critical value is equal to the ___________% confidence multiplier.

2. In the standard normal and t distributions, the 1-sided 5% critical value is equal to the 2-sided ________% critical value.

Answer 1

Answer 1

we know that critical value to confidence multiplier for two sided standard normal and t distribution is given as

Confidence multiplier = 100- (x% criticl value)

we have x = 10

so, confidence multiplier = 100-(10%)= 90%

So , answer is 90% confidence multiplier

Answer 2

We know that the critical value for 2 sided hypothesis is equal to twice the critical value of one sided hypothesis.

we can write it as

2 sided critical value = 2*(one sided critical value)

it is given that one sided critical value = 5%

So, we get

2 sided critical value = 2*5% = 10% critical value

So, the required 2 sided critical value is 10%