{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# recitation10 - z table If the test statistic is...

This preview shows pages 1–2. Sign up to view the full content.

Review and Examples The hypotheses for a hypothesis test take one of the following forms: H 0 : μ μ 0 H a : μ > μ 0 H 0 : μ μ 0 H a : μ < μ 0 H 0 : μ = μ 0 H a : μ 6 = μ 0 The form chosen depends on the problem being asked. μ 0 is just a number. The hypotheses are statements about the parameter ( μ ) not the statistic x ). The equality is always in H 0 . After collecting data, we can decide to either: i. Reject H 0 and say that H a is true or ii. Do not reject H 0 and say that either H 0 or H a is true. Hypothesis Tests consist of four steps: 1. State the hypotheses. The hypotheses should take one of these forms: H 0 : μ μ 0 H a : μ < μ 0 H 0 : μ μ 0 H a : μ > μ 0 H 0 : μ = μ 0 H a : μ 6 = μ 0 2. State the level of significance. This is denoted with α . 3. Compute the test statistic. We use the test statistic z when we know the value of σ . z = ¯ x - μ 0 σ/ n 4. Form a conclusion. You can form a conclusion using two approaches: (a) The p -value approach. Use the z table to compute the p -value. If the p -value is less than α , reject H 0 . 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
(b) The critical value approach.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: z table. If the test statistic is larger (either positively or negatively) than the critical value, reject H . Example : A production line is supposed to operate with a mean ﬁlling weight of 16 ounces per container. Overﬁlling or underﬁlling presents a serious prob-lem and when detected requires the operator to shut down the production line to readjust the ﬁlling mechanism. a. What are the hypotheses to be tested? b. If H is rejected, what course of action is required? Example : For the previous example, suppose a sample of 50 containers is taken. The sample average weight for the containers was 15.9 ounces. Past data suggests that σ = 1 . 0 ounces. Test the hypotheses from the previous example. Use α = 0 . 05. 2...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

recitation10 - z table If the test statistic is...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online