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mafiozo [28]
3 years ago
12

What is the formula for an arc length

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0
Arc Length: Theta × r

Sorry, there's no symbol theta in here. So I wrote theta. It's greek symbol. 
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Answer:

1. Type I error = 0.0241

2. Power of test = 0.2146

Step-by-step explanation:

1.  

Test statistic:

z = (x- µ)/(σ/√n)

  = (0.15 - 0.125)/(0.04/√10)

  = 0.025/0.0126

 = 1.9764

p-value = 1- NORM.S.DIST(1.9764, 1)

            = 0.0241

Type I error = 0.0241

2.

If true µ₁ = 0.14,

then Power, (1 - β) is given as;

1 - β = P(X ≥ 0.15 | µ₁ = 0.14)

      = P(Z ≥ (0.15 - 0.14)/(0.04/√10) )

      = P(Z ≥ 0.79)

      = 1 - P(Z < 0.79)

Using excel function :  

  = 1 - NORM.S.DIST(0.79, 1)

  = 1 - 0.7854

  = 0.2146

Power of test = 0.2146

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3 years ago
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