Answer: A. The difference of the two means is significant at the 68% confidence level, so the null hypothesis must be rejected.
Step-by-step explanation:
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Answer:
For a sample size of 10, the t-value is about 3.25 (from tables) at a 99% confidence interval.
Explanation:
When the standard deviation for the population is not known, the confidence interval estimate for the population mean is performed with the Student's t-distribution.
The confidence interval for the mean is calculated as

where

= sample mean,
s = sample standard deviation,
t = t-value (provided in tables),
n = sample size.
When reading the t-value, (n-1) is called the df or degrees of freedom.
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Answer:
C
Step-by-step explanation:
Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values
sin60° =
, cos45° =
, thus
sin60° =
=
=
( cross- multiply )
2 × opp = 21 ( divide both sides by 2 )
opp = 
Now consider the right triangle on the right, using the cosine ratio
cos45° =
=
=
( cross- multiply )
x =
×
=
→ C