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A random sample of 14 observations taken from a population that is normally distributed produced a...

A random sample of 14 observations taken from a population that is normally distributed produced a sample mean of 42.4 and a standard deviation of 8. Find the range for the p-value and the critical and observed values of t for each of the following tests of hypotheses using, α=0.01.

Use the t distribution table to find a range for the p-value.

Round your answers for the values of t to three decimal places.

a. H0: μ=46 versus H1: μ<46.

Enter your answer; the range for the p-value for the item a) of the question statement, lower bound < p-value <Enter your answer; the range for the p-value for the item a) of the question statement, upper bound  

tcritical =
tobserved =

b. H0: μ=46 versus H1: μ≠46.

Enter your answer; the range for the p-value for the item b) of the question statement, lower bound < p-value <Enter your answer; the range for the p-value for the item b) of the question statement, upper bound  

tcritical left =
tcritical right =
tobserved =

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