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Determine whether the claim stated below represents the null hypothesis

Question

  Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If

a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis? A scientist claims that the mean incubation period for the eggs of a species of bird is at  least 52 days.
Does the claim represent the null hypothesis or the alternative hypothesis?

 
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List the three conditions that must be met in order to use a two-sample F-test

Question

 List the three conditions that must be met in order to use a two-sample F-test.

 
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The weights (in pounds) of 6 vehicles and the variability

Question

 The weights (in pounds) of 6
vehicles and the variability of their braking distances (in feet) when

stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01

Weight, x

5930

5310

6500

5100

5820

4800

Variability in braking distance, y

1.78

1.99

1.91

1.57

1.64

1.50

Setup the hypothesis for the test.

Identify the critical value.

Calculate the test statistic.

What is the conclusion? There is/is not enough evidence at the 1% level of significance to conclude that there is/is not a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.

 
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A security expert claims that exactly 13%

Question

 A security expert claims that exactly 13% of all homeowners have a home security alarm. State

H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning.

 
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