Question

3) Test Statistic: Situation 1: \(\sigma\) known TS: \(z = \frac{x-\mu}{\sigma/\sqrt{n}}\) \(z = \frac{2800-2200}{790/\sqrt{30}} \implies 4.16\) 4) p-value: P-value = P(Z>TS) right-tailed Ex: (In the slides): Ems Ambulance Service example H0: \(\mu \le 12\) mins HA: \(\mu > 12\) mins TS: z = 2.47 p-value: z-dist'n right-tailed test p-value = P(Z>TS) = P(Z>2.47) = 1-P(Z\le 2.47) = 1 - 0.9932 = 0.0068 = P(z > 4.16) = 1 - P(z \le 4.16) = 1 -

          3) Test Statistic:
Situation 1: \(\sigma\) known
TS: \(z = \frac{x-\mu}{\sigma/\sqrt{n}}\)
\(z = \frac{2800-2200}{790/\sqrt{30}} \implies 4.16\)
4) p-value:
P-value = P(Z>TS)
right-tailed
Ex: (In the slides): Ems Ambulance Service example
H0: \(\mu \le 12\) mins
HA: \(\mu > 12\) mins
TS: z = 2.47
p-value: z-dist'n
right-tailed test
p-value = P(Z>TS)
= P(Z>2.47)
= 1-P(Z\le 2.47)
= 1 - 0.9932 = 0.0068
= P(z > 4.16)
= 1 - P(z \le 4.16)
= 1 -

3) Test Statistic:
Situation 1: σ known
TS: z = (x-μ)/(σ/√(n))
z = (2800-2200)/(790/√(30)) 4.16
4) p-value:
P-value = P(Z>TS)
right-tailed
Ex: (In the slides): Ems Ambulance Service example
H0: μ≤ 12 mins
HA: μ > 12 mins
TS: z = 2.47
p-value: z-dist'n
right-tailed test
p-value = P(Z>TS)
= P(Z>2.47)
= 1-P(Z≤2.47)
= 1 - 0.9932 = 0.0068
= P(z > 4.16)
= 1 - P(z ≤4.16)
= 1 -

Added by Patricia B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

09/30/2023

Step 1

48) TS = 600 / 144.92 TS ≈ 4.14 Show more…

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Thanks for your feedback!

Test Statistic: Situation 1: σ known TS: z = ((x̄) - μ) / (σ / √(n)) = (2800 - 2200) / (790 / √(30)) => 4.16 p-value: P-value = P(z > TS) right-tailed Ex. (In the slides): Ems Ambulance Service example {:[H₀: μ] ≤ 12 mins p-value: z-dist'n :} right-tailed test Hₐ: μ > 12 mins p-value = P(z > TS) = P(z > (2.47)) = P(z > 4.16) = 1 - P(z < 4.16) {:[ ] = P(z > 2.47):} = 1 - P(z < 2.47) = 1 - 0.9932 = 0.0068 = 1 - Test Statistic: Situation 1: σ Known TS: Z = X - μ / σ = 2800 - 2300 790 / 130 4 p-value: P-value = P(E > TS) right-tailed Ex In the slides Ems Ambulance Service example - volve: 2-diy'n Ho 12 mins right-tailed test H > 12 mins - volve = P(Z > TS) TS: 2 - 2.47 that < 2d = 1 - P(2.47) = 1 - 0.99 = 0.008 = P(Z > 0.16) = 1 - P(Z < 4.16) = 1 -