Yulia
2021-02-15
Answered

Let Z be a cycle of generalized eigenvectors of a linear operator T on V that corresponds to the eingenvalue lambda.Prove that span(Z) is a T-invariant subspace of V.

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asked 2022-09-04

Let A be a nonempty set of real numbers which is bounded below. Let -A be the set of all numbers -x, where $x\in A$ . Prove that

$infA=-sup(-A)$

$infA=-sup(-A)$

asked 2022-05-09

Identify each of the following statements as true or false in relation to confidence intervals (CIs). **Note: 0.5 marks will be taken away for each incorrect answer. The minimum score is 0.**

True | False | |
---|---|---|

A 95% CI is a numerical interval within which we are 95% confident that the true mean μ$\mu $ lies. | ||

A 95% CI is a numerical interval within which we are 95% confident that the sample mean x¯¯¯$\overline{x}$ lies. | ||

The true mean μ$\mu $ is always inside the corresponding confidence interval. | ||

For a sample size n=29$n=29$, the number of degrees of freedom is n=30$n=30$. | ||

If we repeat an experiment 100 times (with 100 different samples) and construct a 95% CI each time, then approximately 5 of those 100 CIs would not$not$ contain the true mean 𝜇. |

asked 2021-10-04

Assume that all the distributions are normal, average is always taken to be the arithmetic mean xˉ or μ. A college Physical Education Department offered an Advanced First Air course last semester. The scores on the comprehensive final exam were normally distributed, and the the z scores for some of the students are shown below:
Robert, 1.11
Juan, 1.66
Susan, –1.9
Joel, 0.00
Jan, –0.65
Linda, 1.46
(c) Which of these students scored below the mean?

asked 2020-10-21

The first four term of sequeces A,B,C,D are shown

Sequence A$(1/3),(2/4),(3/5),(4/6)$

Sequence A

asked 2022-06-29

asked 2021-09-30

The following advanced exercise use a generalized ratio test to determine convergence of some series that arise in particular applications, including the ratio and root test, are not powerful enough to determine their convergence. The test states that if $

asked 2022-08-08