### Statistical Analysis of Assembly Line Completion Times**Scenario:**Managers at an automobile manufacturing plant want to examine the mean completion time, \( \mu \), of an assembly line operation. Previously, the mean completion time was 44 minutes, but the managers believe this may have changed. A statistical test is planned to verify this.After selecting a random sample of assembly line completion times, the sample mean is calculated as 40 minutes. The standard deviation remains at 3 minutes, as previously reported.**Task:**Based on this scenario, complete the following parts:#### (a) Hypotheses- **Null Hypothesis (\( H_0 \)):** - Hypothesis statement placeholder: [ ]- **Alternative Hypothesis (\( H_1 \)):** - Hypothesis statement placeholder: [ ]#### (b) Type of Error- **Suppose the managers decide not to reject the null hypothesis. What sort of error might they be making?** - \([ \text{Choose one} ]\)#### (c) Type II Error- **Suppose the true mean completion time for the assembly line operation is 38 minutes. Complete the blanks to describe a Type II error:** - A Type II error would be \([ \text{Choose one} ]\) the hypothesis that \( \mu \) is \([ \text{Choose one} ]\) - when, in fact, \( \mu \) is \([ \text{Choose one} ]\)#### Diagram Overview- The diagram provides symbols and inequality signs to fill in the hypotheses and error descriptions. These include: - \( \mu = \) - \( \mu < \) - \( \mu > \) - \( \mu \neq \)This exercise is designed to help understand hypothesis testing and errors in statistical decision-making.

It is given that Sample mean = 40 Population SD = 3 Claim : the mean completion time has changed…

Answered: Based on this information, complete the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a= 0.01, (b) a = 0.05, and (c) α=0.10. P=0.1123 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? ve this OA. Fail to reject Ho because the P-value, 0.1123, is less than α = 0.01 OB. Reject Ho because the P-value, 0.1123, is less than α=0.01. OC. Fail to reject Ho because the P-value, 0.1123, is greater than α=0.01. OD Reject Ho because the P-value, 0.1123, is greater than a = 0.01. Get more help - Q Search 16 4- 6 17 W & J+ 00 * 90 00 f9 ( f10 Janette Z 187 x
Suppose there is a claim that a certain population has a mean, H, that is different than 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: u= 5 H1: u=5 Suppose you also know the following information. The value of the test statistic based on the sample is 1.506 (rounded to 3 decimal places). The p-value is 0.132 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? Since the p-value is less…
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Suppose there is a claim that a certain population has a mean, u, that is equal to 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, H, and the alternative hypothesis, H, as follows. 国 Hoi u=6 Hi u#6 An Suppose you also know the following information. The value of the test statistic based on the sample is 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed o Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. (b) Based on your answer to part (a), which statement below is true? o Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since…
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