Answer:
a)
b) 
c) 
Step-by-step explanation:
Part a
The significance level given is
and the degrees of freedom are given by:

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

Part b
The significance level given is
and the degrees of freedom are given by:

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

Part c
The significance level given is
and
and the degrees of freedom are given by:

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

Answer:

Step-by-step explanation:
Given

Required
The equivalent expression
We have:

Expand

Further expand

Apply laws of indices

Answer:
-1.3
Step-by-step explanation:
3v+1+7v=-12 equation
10v+1=-12 combine like terms
10v=-13 subtract 1 from both sides
v=-1.3 divide by 10
By the laws of logs
log p/n = log p - log n = 6
log m/n = log m - log n = 8 subtract
log m - log p = 2
log m/p = 2
So m / p = 100