Question

13. Use the Student's t-distribution to find the t-value for each of the given scenarios. Round t-values to four decimal places.

• Find the value of t such that the area in the left tail of the t-distribution is 0.005, if the sample size is 65.
  
  t=
  
• Find the value of t such that the area in the right tail of the t-distribution is 0.0005, if the sample size is 141.
  
  t=
  
• Find the value of t such that the area in the right tail of the t-distribution is 0.1, if the sample size is 131.
  
  t=
  
• Find the two values of t such that 99% of the area under the t-distribution is centered around the mean, if the sample size is 145. Enter the solutions using a comma-separated list.
  
  t=

Answer 1

13)

Solution :

Using t

(a)

df= 64

t = -2.655

(b)

df = 140

t = 3.361

(c)

df = 130

t = 1.288

(d)

df = 144

t = -2.610 , +2.610