Question

For each of the following hypothesis tests, find the P-value. (a) Researchers perform a hypothesis test with hypotheses $H_0: \mu = 53$ and $H_a: \mu \ne 53$. From a sample of size $n = 15$ they obtain a test statistic of $t = 1.86$. What is the corresponding P-value? Round to 4 decimal places. 14 (b) Researchers perform a hypothesis test with hypotheses $H_0: \mu = 81$ and $H_a: \mu < 81$. From a sample of size $n = 28$ they obtain a test statistic of $t = -1.73$. What is the corresponding P-value? Round to 4 decimal places. P = 0.0450 (c) Researchers perform a hypothesis test with hypotheses $H_0: \mu = 69$ and $H_a: \mu \ne 69$. From a sample of size $n = 24$ they obtain a test statistic of $t = -0.64$. What is the corresponding P-value? Round to 4 decimal places. P = 0.5300 (d) Researchers perform a hypothesis test with hypotheses $H_0: \mu = 60$ and $H_a: \mu > 60$. From a sample of size $n = 17$ they obtain a test statistic of $t = 2.43$. What is the corresponding P-value? Round to 4 decimal places. P = 0.0120

          For each of the following hypothesis tests, find the P-value.
(a) Researchers perform a hypothesis test with hypotheses
$H_0: \mu = 53$ and
$H_a: \mu \ne 53$.
From a sample of size $n = 15$ they obtain a test statistic of $t = 1.86$. What is the corresponding P-value? Round to 4 decimal places.
14
(b) Researchers perform a hypothesis test with hypotheses
$H_0: \mu = 81$ and
$H_a: \mu < 81$.
From a sample of size $n = 28$ they obtain a test statistic of $t = -1.73$. What is the corresponding P-value? Round to 4 decimal places.
P = 0.0450
(c) Researchers perform a hypothesis test with hypotheses
$H_0: \mu = 69$ and
$H_a: \mu \ne 69$.
From a sample of size $n = 24$ they obtain a test statistic of $t = -0.64$. What is the corresponding P-value? Round to 4 decimal places.
P = 0.5300
(d) Researchers perform a hypothesis test with hypotheses
$H_0: \mu = 60$ and
$H_a: \mu > 60$.
From a sample of size $n = 17$ they obtain a test statistic of $t = 2.43$. What is the corresponding P-value? Round to 4 decimal places.
P = 0.0120

For each of the following hypothesis tests, find the P-value.
(a) Researchers perform a hypothesis test with hypotheses
H0: μ = 53 and
Ha: μ 53.
From a sample of size n = 15 they obtain a test statistic of t = 1.86. What is the corresponding P-value? Round to 4 decimal places.
14
(b) Researchers perform a hypothesis test with hypotheses
H0: μ = 81 and
Ha: μ < 81.
From a sample of size n = 28 they obtain a test statistic of t = -1.73. What is the corresponding P-value? Round to 4 decimal places.
P = 0.0450
(c) Researchers perform a hypothesis test with hypotheses
H0: μ = 69 and
Ha: μ 69.
From a sample of size n = 24 they obtain a test statistic of t = -0.64. What is the corresponding P-value? Round to 4 decimal places.
P = 0.5300
(d) Researchers perform a hypothesis test with hypotheses
H0: μ = 60 and
Ha: μ > 60.
From a sample of size n = 17 they obtain a test statistic of t = 2.43. What is the corresponding P-value? Round to 4 decimal places.
P = 0.0120

Added by Alfredo O.

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