Give as much information as you can about the P -value of a t test in each of th

Question

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.)

(a) Upper-tailed test,

df = 7, t = 2.0

1. P-value < 0.005

2. 0.005 < P-value < 0.01    

3. 0.01 < P-value < 0.025

4. 0.025 < P-value < 0.05

5. P-value > 0.05

(b) Upper-tailed test,

n = 14, t = 3.2

1. P-value < 0.005

2. 0.005 < P-value < 0.01     

3. 0.01 < P-value < 0.025

4. 0.025 < P-value < 0.05

5. P-value > 0.05

(c) Lower-tailed test,

df = 10, t = 2.3

1. P-value < 0.005

2. 0.005 < P-value < 0.01     

3. 0.01 < P-value < 0.025

4. 0.025 < P-value < 0.05

5. P-value > 0.05

(d) Lower-tailed test,

n = 22, t = 4.3

1. P-value < 0.005

2. 0.005 < P-value < 0.01     

3. 0.01 < P-value < 0.025

4. 0.025 < P-value < 0.05

5. P-value > 0.05

(e) Two-tailed test,

df = 15, t = 1.7

1. P-value < 0.01

2. 0.01 < P-value < 0.02     

3. 0.02 < P-value < 0.05

4. 0.05 < P-value < 0.1

5. P-value > 0.1

(f) Two-tailed test,

n = 16, t = 1.7

1. P-value < 0.01

2. 0.01 < P-value < 0.02   

3. 0.02 < P-value < 0.05

4. 0.05 < P-value < 0.1

5. P-value > 0.1

(g) Two-tailed test,

n = 15, t = 6.3

1. P-value < 0.01

2. 0.01 < P-value < 0.02

3. 0.02 < P-value < 0.05

4. 0.05 < P-value < 0.1

5. P-value > 0.1

Explanation / Answer

(a) Upper-tailed test,

df = 7, t = 2.0

P-value = 0.04281 in Excel, =TDIST(2,7,1)

So Correct Answer: Option 4. 0.025 < P-value < 0.05

(b) Upper-tailed test,

n = 14, t = 3.2

P-value = 0.00321 in Excel, =TDIST(3.2,14,1)

So Correct Answer: Option 1. P-value < 0.005

c) Lower-tailed test,

df = 10, t = 2.3

P-value = 0.0221 in Excel, =TDIST(2.3,10,1)

So Correct Answer: 3. 0.01 < P-value < 0.025

(e) Two-tailed test,

df = 15, t = 1.7

P-value = 0.1098 in Excel, =TDIST(1.7,15,2)

So Correct Answer: 5. P-value > 0.1

(f) Two-tailed test,

n = 16, t = 1.7

P-value = 0.1085 in Excel, =TDIST(1.7,16,2)

So Correct Answer: 5. P-value > 0.1

(g) Two-tailed test,

n = 15, t = 6.3

P-value = 0.0000142 in Excel, =TDIST(6.3,15,2)

So Correct Answer: 1. P-value < 0.01

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