(a) Use sensitivity analysis to determine the allowable range for C1 (b) Use sensitivity analysis to determine the allowable range for C3
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- the value used in the equation for the t-test for independent means that approximates the sample size is known as theA paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot a then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this 2 study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Female Driver -0.1 0.4 1.1 0.7 1.1 1.2 0.1 0.9 0.5 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the pap are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use males #females Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t= df = P = Male Driver 1.4 1.2 0.9 2.1 0.7 1.3 3 1.3 0.6 2.1What is the value of the t-statistic used to test the null hypothesis of zero slope via a t-test? Please put the answer in bold.
- A researcher wants to test if the average performance of a new teaching method is different from the traditional teaching method in a sample of 25 students. The researcher used the Wilcoxon Signed-Ranks Test and obtained a T-value of 43. What can be concluded from the test result?Please also give the t test statistics and crítica value to test the claim that ud =0Linear Algebra Solve only using these topics: Chapter 1 Linear Equations in Linear Algebra 1-1 Systems of Linear Equations 1-2 Row Reduction and Echelon Forms 1-3 Vector Equations 1-4 The Matrix Equation Ax = b 1-5 Solution Sets of Linear Systems 1-6 Applications of Linear Systems 1-7 Linear Independence 1-8 Introduction to Linear Transformations 1-9 The Matrix of a Linear Transformation Chapter 2 Matrix Algebra 2-1 Matrix Operations 2-2 The Inverse of a Matrix 2-3 Characterizations of Invertible Matrices 2-4 Partitioned Matrices 2-5 Matrix Factorizations 2-6 The Leontief Input-Output Model 2-7 Applications to Computer Graphics Chapter 3 Determinants 3-1 Introduction to Determinants 172 3-2 Properties of Determinants 179 3-3 Cramer's Rule, Volume, and Linear Transformations Chapter 4 Vector Spaces 4-1 Vector Spaces and Subspaces 4-2 Null Spaces, Column Spaces, Row Spaces, and Linear Transformations 4-3 Linearly Independent Sets; Bases
- A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Z-value p-value Single Policyholders n₁ = 440 Number making claims = 88 a. Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. (to 2 decimals) (to 4 decimals) X Married Policyholders n2 = 840 Number making claims 126 We can conclude ✔ that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number. X * )For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4733 of supporting the claim that μ<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the power, then identify the value of β and interpret that value.Firm handshakes seem to be related to shyness. In a sample of n = 12 people who were rated having firm handshakes, their average score on shyness was M = 43 with SS = 1170. Another sample of n = 8 people rated having weak handshakes, their average shyness score was M = 61 with SS =. 990. Use the sample data to estimate how much difference there is in shyness between people with firm vs. weak handshakes. Please do a point estimate and 90% confidence interval estimate.
- A chi square test tells us: a. Whether two continuous variables are correlated with each other. b. Whether two discrete variables are independent of each other c. The amount of variation in one variable explained by the other d. Which categories of one variable are associated with which categories of the other variableAlbumin is a liver protein that helps circulate vitamins throughout the body. Reduced Albumin has been associated with severe illness with Covid-19 patients. Suppose we wanted to conduct a study to compare the mean Albumin concentration (g/L) between a sample of adult patients hospitalized for Covid 19 (Sample Mean= 32.8, s=6.0) to the mean albumin concentration (g/L) of healthy adults (u=34.1, o=7.13). How many patients would need to enroll from the hospital to conduct this study with 99% confidence, and 80% power? A. 267 B. 120 C. 352 D. 225Your company manufactures plastic wrap for food storage. The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification. If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance. Roll 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 134 131 129 133 135 131 134 130 131 136 129 130 133 130 133 a)What is the mean tear resistance? Enter your answer to the correct number of significant figures. b)What is the…