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The one-sample t statistic from a sample of n = 26 observations for the two-side

ID: 3180710 • Letter: T

Question

The one-sample t statistic from a sample of n = 26 observations for the two-sided test of

H0: = 64
Ha: 64

has the value t = 1.12.

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

(b) Locate the two critical values t* from Table C that bracket t. (Enter your answers to three decimal places.)
____< t < ___

What are the two-sided P-values for these two entries? (Round your answers to three decimal places.)
____ < P-value < ____

(c) Is the value t = 1.12 significant at the 10% level?

Yes/No    


Is it significant at the 5% level?

Yes/No   

Explanation / Answer

a.
TWO TAILED          
degress of fredom = n-1 = 25 - 1 = 24
Critical Value
The Value of t at 0.05 LOS with n-1 =25 is +2.06 and -2.06          
P-Value : Two Tailed ( double the one tail ) - Ha = 0.2734          
c.
Critical Value
The Value of t at 0.1 LOS with n-1 =25 is +1.708 and -1.708          
Do not reject Ho, NO, it is significant, since test statitic t= 1.12 < 1.708
d.
Critical Value
The Value of t at 0.05 LOS with n-1 =25 is +2.06 and -2.06          
Do not reject Ho, NO, it is significant, since test statitic t= 1.12 < 2.06

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