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A random sample of 25 values is drawn from a mound-shaped and symmetric distribution.

A random sample of 25 values is drawn from a mound-shaped

and symmetric distribution. The sample mean is 11 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 10.5.
(a) Is it appropriate to use a Student’s t distribution? Explain.
Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.
No, the x distribution is skewed left.
No, the x distribution is skewed right.
No, the x distribution is not symmetric.
No, σ is known.

How many degrees of freedom do we use?

(c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.)
t =

 
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