### Hypothesis Testing: Mean GPA of Night Students---#### Problem StatementTest the claim that the mean GPA of night students is larger than 3.2 at the 0.01 significance level.#### Null and Alternative HypothesesChoose the correct null and alternative hypotheses from the options below:1. \( H_0: \mu = 3.2 \) and \( H_1: \mu \neq 3.2 \)2. \( H_0: \mu = 3.2 \) and \( H_1: \mu < 3.2 \)3. \( H_0: \mu = 3.2 \) and \( H_1: \mu > 3.2 \)4. \( H_0: p = 0.8 \) and \( H_1: p > 0.8 \)5. \( H_0: p = 0.8 \) and \( H_1: p < 0.8 \)6. \( H_0: p = 0.8 \) and \( H_1: p \neq 0.8 \)**Correct Answer:**- \( \mathbf{H_0: \mu = 3.2} \)- \( \mathbf{H_1: \mu > 3.2} \)#### Test TypeChoose the correct test type from the options below:- Right-tailed- Two-tailed- Left-tailed**Correct Answer:**- \(\mathbf{Right\textrm{-}tailed}\)#### Sample DataBased on a sample of 31 people, the sample mean GPA was 3.24 with a standard deviation of 0.14.#### P-value CalculationCalculate the p-value (to 3 decimals):- P-value: \_\_\_\_\_\_#### Significance LevelEnter the significance level (to 2 decimals):- Significance level: \_\_\_\_\_\_#### ConclusionBased on the p-value and significance level, choose the correct conclusion:- Fail to reject the null hypothesis- Reject the null hypothesis#### Additional DetailsTo calculate the p-value for a one-tailed test:1. Convert the sample mean GPA (3.24) to a z-score using the formula for the test statistic: \[ z =

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Description: ### Hypothesis Testing: Mean GPA of Night Students---#### Problem StatementTest the claim that the mean GPA of night students is larger than 3.2 at the 0.01 significance level.#### Null and Alternative HypothesesChoose the correct null and alternati

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Test the claim that the mean GPA of night students is larger than 3.2 at the 0.01 significance level. The null and alternative hypotheses would be: Но: д — 3.2 Но: и — 3.2 Но:р — 3.2 Но:р — 0.8 Но:р — 0.8 Но:р — 0.8 Ні:д 2 3.2 Hі:р < 3.2 Н:n> 3.2 Hi:р > 0.8 Hi:р < 0.8 Ні:р 0.8 %3D The test is: right-tailed two-tailed left-tailed Based on a sample of 31 people, the sample mean GPA was 3.24 with a standard deviation of 0.14 The p-value is: (to 3 decimals) The significance level is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis

Test the claim that the mean GPA of night students is larger than 3.2 at the 0.01 significance level. The null and alternative hypotheses would be: Но: д — 3.2 Но: и — 3.2 Но:р — 3.2 Но:р — 0.8 Но:р — 0.8 Но:р — 0.8 Ні:д 2 3.2 Hі:р < 3.2 Н:n> 3.2 Hi:р > 0.8 Hi:р < 0.8 Ні:р 0.8 %3D The test is: right-tailed two-tailed left-tailed Based on a sample of 31 people, the sample mean GPA was 3.24 with a standard deviation of 0.14 The p-value is: (to 3 decimals) The significance level is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis

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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