VIPSolutionswrite this into text that can be [pasted in cheggHy:py — pa >0 Test Statistic Formula: PE Te = ios Vato ny nz Substitute: ,_ 236-201 [482 5.00 Vso © 5s 35 [304% Vs "3s BN 35 35 0.4608 + 0.4545 \/0.9153 35 t= oes ~ 3.66 0.9567 Step 3 — Degrees of Freedom (Welch-Satterthwaite) Nl (2-2) nono df = —= (2) G) nm ny oT mal (0.4608 + 0.4545) Af = man (046087 (0.4545) 49 54 _ (09153) 08378 df = 52123 0.2066 ~ 0.00816 © 10268 mn "Tm df ~ 103 Step 4 — P-value Now, t=23.66, df —=103 For a one-tailed test: p= P(To > 3.66) +
Question:
write this into text that can be [pasted in chegg
Hy:py — pa >0
Test Statistic Formula:
PE
Te =
ios
Vato
ny nz
Substitute:
,_ 236-201
[482 5.00
Vso © 5s
35
[304%
Vs "3s
BN 35 35
0.4608 + 0.4545 \/0.9153
35
t= oes ~ 3.66
0.9567
Step 3 — Degrees of Freedom (Welch-Satterthwaite)
Nl
(2-2)
nono
df = —=
(2) G)
nm ny
oT mal
(0.4608 + 0.4545)
Af = man
(046087 (0.4545)
49 54
_ (09153) 08378
df = 52123 0.2066 ~ 0.00816 © 10268
mn "Tm
df ~ 103
Step 4 — P-value
Now,
t=23.66, df —=103
For a one-tailed test:
p= P(To > 3.66)
+
This is AI generated Response.
Asked by: nayan
Created at: 2025-10-27 06:41:26
Asked by: nayan
Created at: 2025-10-27 06:41:26
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Here is the version suitable foring into Che:
---
**ₐ:** μ - μ₂
**Test Statistic Formula:**
t = (x̄₁ - x̄₂) / √(s₁² / n₁ + s₂² / n₂)
**Substitute:**
t = (23.6 - 20.1) / √(4.8² / 50 + 5.² / 55)
t = 3.5 / √(23.04 / 50 + 25 / 55)
t = 3.5 / √(.4608 + .4545)
t = 3.5 / √.9153
t = 3.5 / .9567 ≈ 3.66
---
**Step 3 — Degrees of Freedom (Welch–Satterthwaite):**
df = [(s₁² / n₁ + s₂² / n₂)²] / [(s₁² / n₁)² / (n₁ - 1) + (s₂² / n₂)² / (n₂ - 1)]
= [(.4608 + .4545)²] / [(.4608²) / 49 + (.4545²) / 54]
= (.9153²) / (.2123 / 49 + .2066 / 54)
≈ .8378 / (.00434 + .00383)
≈ .8378 / .00816 ≈ 102.68
**Result:**
df ≈ 103
---
**Step 4 — P-value:**
Now, with t = 3.66 and df = 103,
For a one-tailed test:
p = P(T > 3.66 | df = 103)
---
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