Case 2: SpeedXUse 0.10 and the significance level (α).Conduct a one-sample hypothesis test and determine if you can convince the CFO to conclude the plan will be profitable. Include answers to the following: Case 1: Election Results Use 0.10 as the significance level (α).Conduct a one-sample hypothesis test to determine if the networks should announce at 8:01 P.M. Assignment Steps Resources: Microsoft Excel®, Case Study Scenarios, SpeedX Payment TimesDevelop 800-1,050-word statistical analysis based on the Case Study Scenarios and SpeedX Payment Times. In the second case, students will conduct a hypothesis test to decide whether or not a shipping plan will be profitable. In this assignment, students will learn how statistical analysis is used in predicting an election winner in the first case. Example Classify each of the following sequences as increasing, decreasing, or neither. Purpose of Assignment The purpose of this assignment is to develop students' abilities to combine the knowledge of descriptive statistics covered in Weeks 1 and 2 and one-sample hypothesis testing to make managerial decisions. A sequence is called monotonic (or a monotone sequence) if it is either increasing (strictly increasing) or decreasing (strictly decreasing). Determine whether the sequences are increasing or decreasing: Firstly, give the values that are given in the problem. a n < a n+1 (Increasing of monotonic sequence) a n > a n+1 (Decreasing of monotonic sequence) Now, we are going to see the steps that are given below to calculate the monotonic sequence easily.Practice Exercises 3.1: Monotone Sequencesġ. The monotonic sequence is a set of numbers it is always either increasing or decreasing. Is neither monotonically increasing nor decreasing. We call x nthe nth term of the sequence or the value of the sequence. Every bounded monotonic sequence converges. We write f(n) x n, then the sequence is denoted by x 1 x 2 :::, or simply by (x n). This condition can also be written as lim(n->infty)Snlim(n->infty)SnS. De nition : A function f : f1 2 3 :::gR is called a sequence of real numbers. Let us give the formal de nition of a sequence. Is monotonically decreasing and is bounded below,say by In the sequel, we will consider only sequences of real numbers. Every bounded monotone sequence of real numbers converges. Is monotonically increasing and is not bounded above. For given > 0, by the definition of limit, there exists a positive integer N1 such that. Is monotonically decreasing if and only if Is monotonically decreasing and is bounded below, it is convergent. reason why these terms are helpful is because of the Monotonic Sequence Theorem, which. We can describe now the completeness property of the real numbers.Įvery monotonically increasing sequence which is bounded above is convergent. defined what it means for such a sequence to converge to a limit. The concept of a sequence to be monotonically increasing/ decreasing. In this section you will learn the following Lecture 3 : Monotone Sequence and Limit theorem Module 1 : Real Numbers, Functions and Sequences
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