Question

Consider the following. n = 22, x = 126.4, s2 = 21.7, Ha: σ2 > 15, α = 0.05 Test H0: σ2 = σ02 versus the given alternate hypothesis.

State the test statistic. (Round your answer to two decimal places.)

χ^{2} =

State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to two decimal places.)

χ^{2} >

χ^{2} <

Construct a (1 − α)100% confidence interval for σ^{2}
using the χ^{2} statistic. (Round your answers to two
decimal places.)

_____ to _____

Answer #1

The statistical software output for this problem is :

χ^{2} = 43.95

χ^{2} > 32.67

χ^{2} < None

The 95% CI is : **278.72 to 961.66**

Consider the following.
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s2 = 21.5,
Ha: σ2 > 15,
α = 0.05
Test H0: σ2 =
σ02 versus the given alternate
hypothesis.
State the test statistic. (Round your answer to two decimal
places.)
χ2 =
State the rejection region. (If the test is one-tailed, enter
NONE for the unused region. Round your answers to two decimal
places.)
χ2
>
χ2
<
Construct a (1 − α)100% confidence interval for σ2
using the χ2...

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? to ?
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χ2 =
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Find the value of the test statistic. (Round your answer to two
decimal places.)
(b)
Find the p-value. (Round your answer to four decimal
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p-value =
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(a)
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(b)
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p-value =
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