Solution:
Part a)
df = 18 , area in right tail = 0.005
t critical value = 2.878
Part b)
df =18
Area in right tail = 0.20
t critical value = 0.862
Part c)
df = 24
Area in left tail = 0.02
Since t table gives t values for right area, we use symmetry that t critical values are same for left and right area with different signs.
That is we look for df = 24 and right tail area = 0.02 and find t critical value
Since we need t value for left tail, we use negative sign.
thus
t critical value = -2.172
Part d)
df = 9
c = confidence level = 50% = 0.50
then level of significance =
thus find right tail area =
t critical value = 0.703
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