Answer
Here, we have n = 20, σ = 0.7
Using the four step process for the significance test:
PLAN: μ = 98.6, $H_{o}: μ = 98.6$, $H_{a}: μ \ne 98.6$
SOLVE: For x̅ = 98.203
$z = \frac{98.203 - 98.6}{0.7/\sqrt 20} = -2.536 \approx -2.54$
Using Table A of the book, we have:
P(z < -2.54 or z > 2.54) = 2P(z < -2.54) = 2(0.0055) = 0.0110
CONCLUDE: since p < 0.05, we reject the Null hypothesis that mean body temperature is equal to 98.6
Work Step by Step
Here, we have n = 20, σ = 0.7
Using the four step process for the significance test:
PLAN: μ = 98.6, $H_{o}: μ = 98.6$, $H_{a}: μ \ne 98.6$
SOLVE: For x̅ = 98.203
$z = \frac{98.203 - 98.6}{0.7/\sqrt 20} = -2.536 \approx -2.54$
Using Table A of the book, we have:
P(z < -2.54 or z > 2.54) = 2P(z < -2.54) = 2(0.0055) = 0.0110
CONCLUDE: since p < 0.05, we reject the Null hypothesis that mean body temperature is equal to 98.6