Give as much information as you can about the Pvalue of a t

Give as much information as you can about the P-value of a t test in each of the following situations. (Round your answers to three decimal places.)

I KINDLY ASK TO PLEASE SHOW ALL THE STEPS. DO NOT JUST GIVE FINAL ANSWERS.

(a) Upper-tailed test,

df = 7,

t = 2.0

P-value < 0.005

0.005 < P-value < 0.01     

0.01 < P-value < 0.025

0.025 < P-value < 0.05

P-value > 0.05

(b) Upper-tailed test,

n = 13,

t = 3.2

P-value < 0.005

0.005 < P-value < 0.01   

   0.01 < P-value < 0.025

0.025 < P-value < 0.05

P-value > 0.05

(c) Lower-tailed test,

df = 10,

t = 2.4

P-value < 0.005

0.005 < P-value < 0.01     

0.01 < P-value < 0.025

0.025 < P-value < 0.05

P-value > 0.05

(d) Lower-tailed test,

n = 23,

t = 4.2

P-value < 0.005

0.005 < P-value < 0.01

0.01 < P-value < 0.025

0.025 < P-value < 0.05

P-value > 0.05

(e) Two-tailed test,

df = 14,

t = 1.7

P-value < 0.01

0.01 < P-value < 0.02    

0.02 < P-value < 0.05

0.05 < P-value < 0.1

P-value > 0.1

(f) Two-tailed test,

n = 15,

t = 1.7

P-value < 0.01

0.01 < P-value < 0.02   

   0.02 < P-value < 0.05

0.05 < P-value < 0.1

P-value > 0.1

(g) Two-tailed test,

n = 14,

t = 6.1

P-value < 0.01

0.01 < P-value < 0.02   

   0.02 < P-value < 0.05

0.05 < P-value < 0.1

P-value > 0.1

Solution

(a) Upper-tailed test,

df = 7,

t = 2.0

we just need to see in the tables the degree of freedom and see in what values of alpha ( p value) is the value of 2.0

in this case p value is between 0.05 and 0.025

0.025 < P-value < 0.05

(b) Upper-tailed test,

n = 13,

t = 3.2

the same steps, looking in df = 12 and we will find a value closer th 3.2 in that row

in this case p value is between 0.005 and 0.0025

P-value > 0.05

(c) Lower-tailed test,

df = 10,

t = 2.4

0.025 < P-value < 0.05

(d) Lower-tailed test,

n = 23,

t = 4.2

P-value < 0.005