Question

Consider the following hypothesis test. $H_0: mu leq 12$ $H_a: mu > 12$ A sample of 25 provided a sample mean $ar{x} = 14$ and a sample standard deviation $s = 4.27$. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the $t$ distribution table to compute a range for the $p$-value. $circ p ext{-value} > 0.200$ $circ 0.100 < p ext{-value} < 0.200$ $circ 0.050 < p ext{-value} < 0.100$ $circ 0.025 < p ext{-value} < 0.050$ $circ 0.010 < p ext{-value} < 0.025$ $circ p ext{-value} < 0.010$ (c) At $alpha = 0.05$, what is your conclusion? $circ$ Reject $H_0$. There is insufficient evidence to conclude that $mu > 12$. $circ$ Do not reject $H_0$. There is insufficient evidence to conclude that $mu > 12$. $circ$ Reject $H_0$. There is sufficient evidence to conclude that $mu > 12$. $circ$ Do not reject $H_0$. There is sufficient evidence to conclude that $mu > 12$.

          Consider the following hypothesis test.
$H_0: mu leq 12$
$H_a: mu > 12$
A sample of 25 provided a sample mean $ar{x} = 14$ and a sample standard deviation $s = 4.27$.
(a) Compute the value of the test statistic. (Round your answer to three decimal places.)
(b) Use the $t$ distribution table to compute a range for the $p$-value.
$circ p	ext{-value} > 0.200$
$circ 0.100 < p	ext{-value} < 0.200$
$circ 0.050 < p	ext{-value} < 0.100$
$circ 0.025 < p	ext{-value} < 0.050$
$circ 0.010 < p	ext{-value} < 0.025$
$circ p	ext{-value} < 0.010$
(c) At $alpha = 0.05$, what is your conclusion?
$circ$ Reject $H_0$. There is insufficient evidence to conclude that $mu > 12$.
$circ$ Do not reject $H_0$. There is insufficient evidence to conclude that $mu > 12$.
$circ$ Reject $H_0$. There is sufficient evidence to conclude that $mu > 12$.
$circ$ Do not reject $H_0$. There is sufficient evidence to conclude that $mu > 12$.

Consider the following hypothesis test.
H0: mu leq 12
Ha: mu > 12
A sample of 25 provided a sample mean arx = 14 and a sample standard deviation s = 4.27.
(a) Compute the value of the test statistic. (Round your answer to three decimal places.)
(b) Use the t distribution table to compute a range for the p-value.
circ p ext-value > 0.200
circ 0.100 < p ext-value < 0.200
circ 0.050 < p ext-value < 0.100
circ 0.025 < p ext-value < 0.050
circ 0.010 < p ext-value < 0.025
circ p ext-value < 0.010
(c) At alpha = 0.05, what is your conclusion?
circ Reject H0. There is insufficient evidence to conclude that mu > 12.
circ Do not reject H0. There is insufficient evidence to conclude that mu > 12.
circ Reject H0. There is sufficient evidence to conclude that mu > 12.
circ Do not reject H0. There is sufficient evidence to conclude that mu > 12.

Added by Tammy B.

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