Question

Use technology to find the critical value tα/2 that corresponds to a confidence level of 80% from a sample of size n = 32.

Please break it down for me into steps - I am having a tough time grasping the concepts and want to understand. Thanks!!

Answer 1

SOLUTION:

From given data,

Use technology to find the critical value tα/2 that corresponds to a confidence level of 80% from a sample of size n = 32.

sample size n = 32.

confidence level = 80%

80% confidence interval

80% = 80/100 = 0.80

= 1-0.80 = 0.2

/ 2 = 0.2/2 = 0.1

Degree of freedom

df = n-1

df = 32-1

df = 31

Critical value

t _{/ 2,df} = t_0.1,31

t _{/ 2,df} = 1.309

The critical value t _{/ 2,df} that corresponds to a confidence level of 80% from a sample of size n = 32 is 1.309.