The onesample t statistic from a sample of n 18 observation

The one-sample t statistic from a sample of n = 18 observations for the two-sided test of the following hypotheses has the value t = 1.28. Ho: = 64 Ha: 64

(a) What are the degrees of freedom for t? df =

(b) Locate the two critical values t * from Table C that bracket t. (Use 3 decimal places.) < t * <

What are the two-sided P-values for these two entries? < P-value <

(d) Is the value t = 1.28 significant at the 10% level? Yes No.

Is it significant at the 5% level? Yes No

Solution

ANS -
a)
d.f = n-1 = 17
b)
Critical Value
The Value of t with n-1 = 17 d.f at 0.10 LOS is -1.74, + 1.74
c)
P-Value :Two Tailed ( double the one tail ) -Ha : ( P != 1.28 ) = 0.2177
d)
No, Value of |to | < | t | and Here we Do not Reject Ho
e)
No, Hence Value of P0.05 < 0.2177,Here We Do not Reject Ho