SOLUTION: A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume that a two-tailed test at the 0.10 significance level is to be

Question 1158228: A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume that a two-tailed test at the 0.10 significance level is to be used. For what value of t will the null hypothesis not be rejected?????A. To the left of -1.282 or to the right of 1.282
B. To the left of -1.345 or to the right of 1.345
C. Between -1.761 and 1.761
D. To the left of -1.645 or to the right of 1.645
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
this is a t(0.95, df=14)
This is |t|<1.761
C.
Two tailed test at 0.10 sig level means .05 at either end of the curve
If it were z, one would look at the z-value for .05 of the area and .95 of the area.
That would be +/-1.645
t is a little larger than that at df=14 but not huge, and C would be the correct choice.
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