(4 points) Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗ for the given sample size and confidence level. Round critical t values to 4 decimal places.

a)

For this case the significance level is given by and the and for this case we can ue the following code:

"=-T.INV(0.05,4)"

And for this case the critical value would be

b)

For this case the significance level is given by and the and for this case we can ue the following code:

"=-T.INV(0.025,12)"

And for this case the critical value would be

c)

For this case the significance level is given by and the and for this case we can ue the following code:

"=-T.INV(0.01,21)"

And for this case the critical value would be

d)

For this case the significance level is given by and the and for this case we can ue the following code:

"=-T.INV(0.005,14)"

And for this case the critical value would be

Step-by-step explanation:

Part a

n = 5 , Conf. =0.90

For this case the degrees of freedom are given by:

For this case the significance level is given by and the and for this case we can ue the following code:

"=-T.INV(0.05,4)"

And for this case the critical value would be

Part b

n = 13 , Conf. =0.95

For this case the degrees of freedom are given by:

For this case the significance level is given by and the and for this case we can ue the following code:

"=-T.INV(0.025,12)"

And for this case the critical value would be

Part c

n = 22 , Conf. =0.98

For this case the degrees of freedom are given by:

For this case the significance level is given by and the and for this case we can ue the following code:

"=-T.INV(0.01,21)"

And for this case the critical value would be

Part d

n = 15 , Conf. =0.99

For this case the degrees of freedom are given by:

For this case the significance level is given by and the and for this case we can ue the following code:

"=-T.INV(0.005,14)"

And for this case the critical value would be

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841