### Hypothesis Testing for Mean GPA of Night Students**Objective:** Test the claim that the mean GPA of night students is smaller than 2.1 at the 0.025 significance level.**Hypotheses:** - **Null and Alternative Hypotheses:** - \( H_0: \mu = 2.1 \) - \( H_1: \mu < 2.1 \)**Type of Test:** - **Left-tailed****Sample Data:**- **Sample Size:** 40- **Sample Mean GPA:** 2.08- **Standard Deviation:** 0.02**Calculations Required:**- **Test Statistic:** (To be calculated and reported to 2 decimal places)- **Critical Value:** (To be calculated and reported to 2 decimal places)**Decision Rule:**- Based on the calculations, we decide to: - Reject the null hypothesis - Fail to reject the null hypothesisMake sure to calculate the test statistic and critical value to complete the hypothesis test, determining whether the claim that the mean GPA is less than 2.1 is statistically supported.

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Description: ### Hypothesis Testing for Mean GPA of Night Students**Objective:** Test the claim that the mean GPA of night students is smaller than 2.1 at the 0.025 significance level.**Hypotheses:** - **Null and Alternative Hypotheses:** - \( H_0: \mu = 2.1

State the hypotheses. That is, there is no evidence to conclude that the mean GPA of night students…

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Test the claim that the mean GPA of night students is smaller than 2.1 at the .025 significance level. The null and alternative hypothesis would be: Ho:p = 0.525 Ho: µ = 2.1 Họ:p = 0.525 Ho:µ = 2.1 H9:p= 0.525 Họ:µ= 2.1 H1:p > 0.525 Hị:4 > 2.1 H1:p + 0.525 Hị:µ# 2.1 H:p< 0.525 H1:µ < 2.1 The test is: left-tailed two-tailed right-tailed Based on a sample of 40 people, the sample mean GPA was 2.08 with a standard deviation of 0.02 |(to 2 decimals) The test statistic is: The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis O Fail to reject the null hypothesis

Test the claim that the mean GPA of night students is smaller than 2.1 at the .025 significance level. The null and alternative hypothesis would be: Ho:p = 0.525 Ho: µ = 2.1 Họ:p = 0.525 Ho:µ = 2.1 H9:p= 0.525 Họ:µ= 2.1 H1:p > 0.525 Hị:4 > 2.1 H1:p + 0.525 Hị:µ# 2.1 H:p< 0.525 H1:µ < 2.1 The test is: left-tailed two-tailed right-tailed Based on a sample of 40 people, the sample mean GPA was 2.08 with a standard deviation of 0.02 |(to 2 decimals) The test statistic is: The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis O Fail to 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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Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.025 significance level.The null and alternative hypothesis would be: H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD The test is: left-tailed two-tailed right-tailed The sample consisted of 35 night students, with a sample mean GPA of 3.34 and a standard deviation of 0.06, and 35 day students, with a sample mean GPA of 3.36 and a standard deviation of 0.03.The test statistic is: _____ (to 2 decimals)The p-value is: ____ (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis