A random sample of 15 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. H 0 : μ = 46 versus H 1 : μ < 46 . Enter your answer; the range for the p-value for the item a) of the question statement, lower bound < p-value

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A random sample of 15 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. H 0 : μ = 46 versus H 1 : 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 =Enter your answer; t_critical
tobserved =Enter your answer; t_observed

b. H 0 : μ = 46 versus H 1 : 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 =Enter your answer; t_critical left
tcritical right =Enter your answer; t_critical right
tobserved =Enter your answer; t_observed

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