Question

1) The t-value that you would use to construct a 99% confidence interval for means with a sample of size n = 17.

t valué?=

 

Answer 1

Answer 1)

For 99% Confidence Interval, α = 0.01

Degrees of Freedom df = n-1 = 17-1 = 16

The critical t-value for α = 0.01 and df = 16 is 2.921 (Obtained using t distribution table. Screenshot below)

t = 2.921

Answer 2)

z = (x-Mean)/SD

Here, z = 0.75, Mean = 134.5, SD = sqrt(Variance) = sqrt(49) = 7

Substituting all these values we get:

0.75 = (x-134.5)/7

x = 134.5 + 0.75*7

x = 139.75

The weight of the green turtle is 139.75 kg.