8.72 Given M = 88, M, = 83, t = 2.042, t = 2.040, and a two-tailed testwith a = .05, (a) decide whether the null hypothesis was rejected ornot, (b) tell whether the difference between sample means is astatistically significant one or not, and (c) make a statement aboutthe direction of the difference between the population means.

Given M=88, M2=83, tcv= tcritical =2.042 , t=2.04=test statistic Two tailed hypothesis Level of…

Answered: 8.72 Given M = 88, M2 = 83, ty = 2.042,…

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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Question 4 The average student loan debt is reported to be 525,235. A student belives that the student loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support the student claim at a 5% significance level? a) Determine the null and alternative hypotheses. Ho: P H.: µSelect an answer (Put in the correct symbol and value) b) Determine the test statistic. Round to two decimals. t%3D c) Find the p-value, Round to 4 decimals. P-value = d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that student loan debt is higher than 525,235, O There is not sufficient evidence to support the claim that student loan debt is higher than S25,235. Submit Question
Consider two independent random samples with the following results: n, = 573 P = 0.63 %3D n2 = 604 %3D = 0.49 Use this data to find the 95 % confidence interval for the true difference between the population proportions. Step 2 of 3: Find the margin of error. Round your answer to six decimal places.
Before the semester began, Professor Keithley predicted that 15% of hisphilosophy students would receive an A, 30% a B, 40% a C, 10% a D, and 5%an F. At the end of the semester, 14 of Professor Keithley’s philosophy studentsearned an A, 19 a B, 12 a C, 5 a D, and 2 an F.Use the Chi-Square test and a 0.05 level of significance to determine if ProfessorKeithley’s predicted percentages were accurate. (State your null and alternativehypothesis, find the critical values and test statistics, make a decision, and writea conclusion based on your results).
Chapter 11: Multiple Regression 1. In a multiple regression with five explanatory variables, data are collected on 63 observations. What are the degrees of freedom for the ANOVA F test? A) 4 and 57 5 and 58 B) 5 and 57 D) 5 and 62 2. In a multiple regression with four explanatory variables, data are collected on 25 observations. What is the largest value the ANOVA F statistic can take on before we would reject the null hypothesis that all of the regression coefficients are 0, at the 5% significance level? A) 2.78 3.10 B) 2.87 3.51
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6.24 Sleep deprivation, CA vs. OR, Part II. Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. (a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states. (Reminder: Check conditions) (b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Question 83 Parts A and B
Question 3 A fruit farmer has a large number of almond trees, all of the same variety and the same age. One year he wishes to estimate the mean yield of his trees. He collects all the almonds from 8 trees and records the following weights (kg); 36 53 78 67 92 77 59 66 a) Use these data to estimate the mean and standard deviation of the yields of all the farmer's trees. b) Construct a 95% confidence interval for the mean yield. c) What statistical assumption is required for your procedure to be valid? d) How might you select a sample of eight trees from those growing in a large field. Criteria [2.1, 2.2, 2.3]
Test the claim that the proportion of men who own cats is significantly different than 50% at the 0.02 significance level.a.) The null and alternative hypothesis would be: b.) The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 59% owned cats c.) The sample proportion ˆp=d.) The test statistic is: (to 2 decimals)e.) At α=α=0.02, the critical value is:± (to 2 decimals)f.) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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