0:-/10 points DevoreStat97.?.031 My NotesAsk Your Teacher Determine the t critic
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Question
0:-/10 points DevoreStat97.?.031 My NotesAsk Your Teacher Determine the t critical value for a lower or an upper confidence bound in each of the following situations. (Round your answers to three decimal places.) (a) Confidence level = 95%, df = 5 (b) Confidence level-95%, df-20 (c) Confidence level 99%, df20 (d) Confidence level-99%, n-10 (e) Confidence level = 97.5%, df = 22 (f) Confidence level-99%, n-36 You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? ReadIt Talk to & TutoExplanation / Answer
a)
confidence level = 95%
df=5
From the t distribution table
Locate 0.05 along the column
Locate df as 5 along the row
Thus the t critical value for lower bound is -2.015 and for upper is 2.015
b)
confidence level = 95%
df=20
From the t distribution table
Locate 0.05 along the column
Locate df as 20 along the row
Thus the t critical value for lower bound is -1.725 and for upper is 1.725
c)
confidence level = 99%
df=20
From the t distribution table
Locate 0.01 along the column
Locate df as 20 along the row
Thus the t critical value for lower bound is -2.528 and for upper is 2.528
d)
confidence level = 99%
n=10
df=n-1=10-1 = 9
From the t distribution table
Locate 0.01 along the column
Locate df as 9 along the row
Thus the t critical value for lower bound is -2.821 and for upper is 2.821
e)
confidence level = 97.5%
df=22
From the t distribution table
Locate 0.025 along the column
Locate df as 22 along the row
Thus the t critical value for lower bound is -2.074 and for upper is 2.074
f)
confidence level = 99%
n=36
df=36-1 = 35
From the t distribution table
Locate 0.01 along the column
Locate df as 35 along the row
Thus the t critical value for lower bound is -2.44 and for upper is 2.44
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