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7.2 Hypothesis Testing for the Mean (Large Samples)

7.2 Hypothesis Testing for the Mean (Large Samples). Key Concepts: Hypothesis Testing ( P -value Approach) Critical Values and Rejection Regions Hypothesis Testing (Critical-Value Approach). 7.2 Hypothesis Testing for the Mean (Large Samples).

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7.2 Hypothesis Testing for the Mean (Large Samples)

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  1. 7.2 Hypothesis Testing for the Mean (Large Samples) • Key Concepts: • Hypothesis Testing (P-value Approach) • Critical Values and Rejection Regions • Hypothesis Testing (Critical-Value Approach)

  2. 7.2 Hypothesis Testing for the Mean (Large Samples) • So how do we calculate the P-value of a test? • Recall: The P-value of a hypothesis test is the probability of obtaining a sample statistic with a value as extreme as or more extreme thanthe one determined from the sample data. • When we test for one population mean, we use the standardized version of the sample mean as our sample (or test) statistic. • Practice finding P-values: #2 p. 389 (left-tailed test) #6 (two-tailed test)

  3. 7.2 Hypothesis Testing for the Mean (Large Samples) • We are finally ready to conduct a hypothesis test for the mean using P-values! Guidelines are provided on page 381 (Using P-Values for a z-Test for the Mean µ). #34 p. 391 (Sprinkler System) #38 p. 392 (Salaries)

  4. 7.2 Hypothesis Testing for the Mean (Large Samples) • If the P-value of a test is difficult to calculate, we can use what’s known as the critical-value approach. • A rejection region of the sampling distribution is the range of values for which the null hypothesis is not probable. • A critical value separates the rejection region from the nonrejection region. • Practice finding critical values and rejection regions #16 p. 390 #20

  5. 7.2 Hypothesis Testing for the Mean (Large Samples) • How do we decide whether or not to reject the null hypothesis when we’re working with critical values and rejection regions? • If our test statistic falls within the rejection region, we reject Ho. Otherwise, we do not reject Ho. • Guidelines are provided on page 386 (Using Rejection Regions for a z-Test for µ). #40 p. 392 (Caffeine Content in Coffee) #42 p. 393 (Sodium Content in Cereal)

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