week 4 week end

A sample of 81 observations is taken from a normal population with a standard deviation of 5. The sample mean is 40.

Determine the 95 percent confidence interval for the population mean. (Round your answers to 3 decimal places.)

  Confidence interval for the population mean is 

(b)

What is the decision rule? (Round your answer to 2 decimal places.)

   H₀ and  H₁ when z > 

There is  evidence to conclude that the population mean is greater than 26.

(e)

What is the p-value? (Round your answer to 4 decimal places.)

 H₀. Ms. Dennis is  in concluding that more than 60 percent
  of the accounts are in arrears for more than three months.

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3.74

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10,000

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2.46

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4.56

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α

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The standard deviation.

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Type I error.

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The difference between the hypothesized mean and the sample mean.

State the null hypothesis and the alternate hypothesis.

  H₀: μ ≥

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  H₁: μ <

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State whether the decision rule is true or false: Reject H₀ if z < – 1.65

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True

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False

Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

  Test statistic is

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What is your decision regarding H₀?

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Reject H₀

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Do not reject H

What is the p-value? (Round your answer to 4 decimal places.)

  p-value is

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