The class that graduated from a college four years ago took an average of 2.3 science courses. Since then a new curriculum requirement has been introduced. The registrar is interested in the effect this requirement has had on the enrollment in science courses. A random sample of the transcripts of 25 seniors found that the mean number of science courses taken was 2.8 with a standard deviation of 1.01. Do these results suggest that the mean number of science courses taken has changed significantly since the new requirement was introduced? Test at $ \alpha = 0.05 $.(a). The null and alternative hypotheses are:- $ H_0: \mu = 2.3 $- $ H_a: \mu \neq 2.3 $(b). The test statistic is $ 2.475 $ (use 4 decimal places).(c). The p-value is (use 2 decimal places).(d). The correct decision is to reject the null hypothesis.This exercise involves hypothesis testing to determine if there is a significant change in the mean number of science courses taken by students after the introduction of a new curriculum requirement. The null hypothesis ($ H_0 $) states that there is no change, while the alternative hypothesis ($ H_a $) suggests a change. The test statistic is calculated as 2.475, and the decision is to reject the null hypothesis, indicating a significant change.

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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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