![]() ![]() 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. Hence, one can require that a sequence be strictly monotonic increasing or strictly monotonic decreasing. The rst is that two dierent innite decimals can represent the same realnumber, for according to well-known rules, a decimal having only 9’s after someplace represents the same real number as a dierent decimal ending with all 0’s(we call such decimalsniteor terminating):26.67999. 2.Give an example of a sequence that is bounded from above and bounded from below but is not convergent. One possibility is ( 1)n 1 n +1 n1 1 1 2 1 3 1 4 :::, which converges to 0 but is not monotonic. 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. 3 Answers Sorted by: 6 Yes, a constant sequence (a number repeated indefinitely) is inceed monotonic: it is both monotonic non-decreasing, and monotonic non-increasing. 1.Give an example of a convergent sequence that is not a monotone sequence. 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. Every bounded monotonic sequence converges. In the second case, students will conduct a hypothesis test to decide whether or not a shipping plan will be profitable. This condition can also be written as lim(n->infty)Snlim(n->infty)SnS. ![]() In this assignment, students will learn how statistical analysis is used in predicting an election winner in the first case. Exercise 3 Decide whether each of the sequences dened below is bounded above, bounded below, bounded. Each decreasing sequence ( a n) is bounded above by a1. In a complete lattice L, we write X n X to mean a monotonic convergence, where (X n) is a decreasing sequence (X n + 1 X n) and X n X n. Bounds for Monotonic Sequences Each increasing sequence ( a n) is bounded below by a1. 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. Figure 2.4: Sequences bounded above, below and both. Determine whether the sequences are increasing or decreasing: margin: Note: It is sometimes useful to call a monotonically. Practice Exercises 3.1: Monotone Sequencesġ. A sequence is monotonic if it is monotonically increasing or monotonically decreasing. Is neither monotonically increasing nor decreasing. Is monotonically decreasing and is bounded below,say by Is monotonically increasing and is not bounded above. Is monotonically decreasing if and only if De nition: (s n) is increasing if s n+1 >s n for each n (s n) is decreasing if s. We will discuss the monotonic sequence which is a type of sequence that constantly increases or decreases. Monotone Sequence Theorem Video: Monotone Sequence Theorem Notice how annoying it is to show that a sequence explicitly converges, and it would be nice if we had some easy general theorems that guar-antee that a sequence converges. ![]() Is monotonically decreasing and is bounded below, it is convergent. In this tutorial, we will take a look at a variety of sequences. We can describe now the completeness property of the real numbers.Įvery monotonically increasing sequence which is bounded above is convergent. 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 ![]() So at the end of seven years, Stavroula has \($2071.41\).Module 1 : Real Numbers, Functions and Sequences ![]()
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