**Hypothesis Testing for Average Television Watch Time**A study reported that the average person watched 5.71 hours of television per day. A random sample of 15 people provided the following data for the number of hours of television watched per day:- Data: 4.2, 5.5, 2.1, 5.9, 4.4, 4.4, 3.8, 5.6, 2.4, 5.8, 6.0, 4.3, 3.5, 5.3, 5.4We are tasked with determining if this sample provides sufficient evidence, at the 1% significance level, to conclude that the average television watch time last year differed from the reported 5.71 hours.**Sample Statistics:**- Sample Mean (\(\bar{x}\)): 4.573 hours- Sample Standard Deviation (s): 1.233 hours**Set Up the Hypotheses for a One-Mean T-Test:**- Null Hypothesis (\(H_0\)): \(\mu = 5.71\)- Alternative Hypothesis (\(H_a\)): \(\mu \neq 5.71\)**Test Statistic Calculation:**The test statistic \(t\) needs to be calculated and rounded to two decimal places.This setup is used to determine if the sample mean significantly differs from the population mean at the specified significance level.

Answered: Image /qna-images/answer/5bef1430-20b3-4531-808b-d6e7a043f7e0.jpg

Answered: Suppose a study reported that 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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A researcher is interested in whether there is a difference between male and female college students in the amount of time spent doing volunteer work for the last 6 months. The researcher gathers a random sample of college students. The amount of time volunteering is measured in hours, which is an interval level-ratio and is normally distributed. Which statistical test should be used to analyze this data? a. Multiple regression b. paired samples t-test c. independent groups t-test d. Factorial ANOVA
Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 98.67, y = 99, r= 0.930, P-value = 0.000, and %3D y = - 12.38 +1.13x, where x represents the IQ score of the younger child. Find the best predicted value of y given that the younger child has an IQ of 97? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is (Round to two decimal places as needed.)
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