PART II. HYPOTHESES TO TESTBelow are a series of hypotheses to be tested. I have done one sample to show you the format inwhich I want you to do all problems. Follow the example in doing each problem.Steps to follow in doing problemsPlease give the following steps for each problem:a) if not given in the problem, state the nul and altemative hypothesesb) indicate whether you have a one- or a two-tailed test situationc) give the formula for the test statistic you will used) diagram the null sampling distributione) state a decision rule and diagram values for which you will or will not reject Ha1 calculate the standard error and the test statistic; state the statistical decision to reject or notreject Hog) briefly state in words what the outcome of the test isExample Problem. You have devised a new approach to testing IQ in young children. You believethat your testing method will produce dfferent results from the usual tests now in use. The usual testsgive p= 100 and s = 15 in the population. You test n= 25 children with your method and get M= 113.Does your method change the IQ measure from that in the population? Use a = .05.a) Hypotheses Ha: p = 100e) Decision rule:1. Hi: p 100Reject Ho if zae is s -1.98 or 2 1.96b) Two-tailed test because there is noprediction of directionn Standard errorync) Formula for test statistic:15M-V25Test Statisticd) Nul sampling distributionM-R 113- 100Zaht=433Decision: Reject He9) Interpretation: Since the null hypothesishas been rejected, it has been shownthat the use of the new method of 1Qtesting has modified the value ofmeasured IQ.Problems:7. Ina statistics class, a teacher is interested in seeing if merely having students sign in everyday inclass will increase attendance. Over many prior semesters of statistics teaching, it has beenfound that the average number of dlasses students attend is u= 24 of 30 during the semester with= 12. One semester the teacher institutes a sign-in sheet on which students sign in each day. Atthe end of the semester, in a classroom of n= 49 students, the students have attended anaverage of M = 28 classes. Test the hypothesis that the use of the sign-in sheet improvedattendance. Be sure to give all the steps autlined above. Use a= .05.8. Go back to problem 7. Now assume that the teacher makes no prediction about whether the sign-up sheet will increase or decrease attendance. Use all the information from problem 7; be sure togive all the steps in the outline above, and test this non-directional hypothesis that use of the sign-in sheet will change attendance. Use a = 05.

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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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A statistics professor for STAT 250 wants to investigate how long it takes students to complete Exam 1. The times that it took all 715 STAT 250 students in Spring 2022 were recorded in the data set “Time to Complete Exam 1” found in StatCrunch. The time is recorded in minutes. A student who completed the exam in 50:30 (50 minutes and 30 seconds) would be recorded as 50.5 minutes Column Mean Std. dev. Sample 26 (Time) 43.93 7.14 1) Does the mean calculated come from a sampling distribution that is approximately Normal? Check all three conditions of the Central Limit Theorem using one complete sentence for each condition to answer this question 2) Calculate the probability that, in a random sample of 26 students, the mean time to complete Exam 1 is 50 minutes or more. Complete this part by standardizing and using the Standard Normal Table to obtain this probability. Show all work and type all calculations.
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