Exam 9: Statistical Hypothesis Testing: Hypothesis Tests for a Population Mean

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The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles.Management believes that due to a new production process, the life expectancy of its tires has increased.In order to convince others of the validity of management's belief, the correct set of hypotheses is

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B

You are to test the following hypotheses: H0: µ = 650 Ha: µ ≠ 650 A sample of size 20 produces a sample mean of 672, with a standard deviation of 42.The p-value for this two-tailed test is .0302.If the significance level set for the test is .05, we should

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B

In hypothesis testing, if the null hypothesis is rejected when the alternative hypothesis is true

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D

The competing hypotheses for a hypothesis test are as follows: H0: The earth is flat. Ha: The earth is round. Describe what a Type I error and a Type II error would be here.

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To decide whether to reject a null hypothesis about a population mean, a 95% confidence interval or two-tailed hypothesis test with a significance level of 2.5% could be used.

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The probability of making a Type I error is typically denoted by β\beta .

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Type I error in hypothesis testing is

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If a null hypothesis is rejected at a 10% significance level,

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The p-value is the probability associated with the test statistic while alpha α\alpha is the probability associated with the critical value.

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You are to test the following hypotheses: H0: µ < 5500 Ha: µ > 5500 A sample of size 100 produces a sample mean of 5560, with a standard deviation of 420.The p-value for this test is

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A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink.Any over-filling or under-filling results in the shutdown and readjustment of the machine.To determine whether the machine is properly adjusted, the most appropriate set of hypotheses is

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Type II error in hypothesis testing is

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If a null hypothesis is rejected at a 1% significance level,

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Whenever the population standard deviation is unknown, which distribution is used in developing a hypothesis test for a population mean?

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A p-value is the

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You are to test the following hypotheses: H0: µ = 800 Ha: µ ≠ 800 A sample of size 81 produces a sample mean of 750, with a standard deviation of 216.The p-value for this test is

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You are to test the following hypotheses: H0: µ = 40 Ha: µ ≠ 40 A sample of size 36 produces a sample mean of 42.2, with a standard deviation of 16.The p-value for this test is

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You are to test the following hypotheses: H0: µ < 940 Ha: µ > 940 A sample of size 49 produces a sample mean of 994, with a standard deviation of 130.The p-value for this test is

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The level of significance, α\alpha is the probability of making a Type II error, which is rejecting a true null hypothesis.

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You are to test the following hypotheses: H0: µ ≥ 1200 Ha: µ < 1200 A sample of size 36 produces a sample mean of 1148, with a standard deviation of 160.The p-value for this test is

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