Numerade

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Suppose a random variable $X$ is normally distributed with $\mu = 23$ and $\sigma = 6.7$. For samples of size 12: (a) The mean of the sampling distribution for $\bar{X}$ is: (b) The standard deviation of the sampling distribution for $\bar{X}$ is: (do not round)

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Kevin is a chronic user of a drug that caused him to have flashbacks-a recurrence of the sensory and emotional changes induced by the drug-even months after his last use. Kevin MOST likely took: caffeine. LSD. THC. hashish.

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Like Krafft Ebing, Freud believed that deviant sexual behavior was rooted in 1) the stars 2) psychopathology 3) genetics 4) environmental factors

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Follow the algorithm, (use the first slide that contains an algorithm) if you had a person that participates in regular moderate exercise and has known metabolic disease, which of the following would be true/appropriate? Group of answer choices The individual should have gotten medical testing and clearance within the past 12 months. Medical clearance is not needed (directly) before beginning a moderate exercise program. The individual should get medical clearance before beginning a vigorous exercise program. The individual can begin with a vigorous exercise program with out any medical clearance

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A company has been allocated the subnet of 10.1.1.0/24 for a small office, and the network administrator needs to split this subnet into smaller subnets where each subnet supports 14 hosts or machines.

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Suppose $A_i \in \mathcal{M}$, $A_1 \supset A_2 \supset \cdots \supset A_n \supset A_{n+1} \supset \cdots$ (a) If $m(A_1) < \infty$, show that $m\left(\bigcap_{n=1}^{\infty} A_n\right) = \lim_{n\to\infty} m(A_n)$. (b) Show by example that if $m(A_1) = \infty$, the above conclusion may be wrong.

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3. Do college students average more hours on the computer each week than watching TV? A sample of 10 college students in a class were asked how many hours per week they watch TV and how many hours a week they use a computer. The results are summarized below. Is there evidence that on average the students spend more hours on the computer each week than watching TV? (b-g, 3 points each) Summary Statistics Student 1 2 3 4 5 6 7 8 9 10 Statistic Value Comp 30 20 10 10 10 0 35 20 2 5 Sample Size 10 TV 2 1.5 14 2 6 20 14 1 14 10 Mean 5.750 Standard Deviation 15.816 Minimum -5.000 Q1 6.000 Median 19.200 Maximum 28 a) What statistical test would be best used on this data set? (1 pt) Circle one: Diff of proportions Diff of Two Means One Mean/Matched pairs One Mean b) State the Hypotheses for this test. Below we will be constructing a 95% CI. Assume all conditions are met. Find the following: c) SE = d) $t$ = e) ME = (3 decimal places) f) Construct a 95% confidence interval for the parameter of interest. g) Use your confidence interval to determine if it is plausible that students average the same amount of time on the computer as watching TV each week. Explain. 3

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Problems 1. Determine whether the given transformation $T$ is linear. a) $T : M_{2,2} \to M_{2,2}$ defined by $$ T \begin{pmatrix} a & b \\ c & d \end{pmatrix} = \begin{pmatrix} a+b & 0 \\ 0 & c+d \end{pmatrix} $$ b) $T : P_2 \to P_2$ defined by $T(a + bx + cx^2) = (a - c) + b(x + 1) + b(x + 1)^2$ c) $T : M_{2,2} \to \mathbb{R}$ by $T(A) = \text{rank} (A)$ d) $T : \mathcal{F} \to \mathcal{F}$ defined by $T(f) = f(x^2)$ (where $\mathcal{F}$ is the vector space of all functions from $\mathbb{R}$ to $\mathbb{R}$)

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Watt Service Inc. completed a major renovation contract and billed the customer $56,000 on January 1, 2020. Cash of $16,000 was collected, and a 5% note was received for the remaining $40,000, payable in three equal annual installments (including principal plus interest) each December 31 of 2020, 2021, and 2022. The market rate of interest for notes with comparable risk is 12%. Required a. Compute the amount of each of the three annual payments on the note. b. Compute the present value of the note at January 1, 2020. c. Prepare an effective interest schedule for the note. d. Prepare the journal entries required as of the following dates. Record the note receivable net of discount. 1. January 1, 2020 2. December 31, 2020 3. December 31, 2021 4. December 31, 2022

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QUESTION 1 X Y Z W V IC $420,000 $540,000 $500,000 $200,000 $250,000 OM $45,000 $35,000 $50,000 $20,000 $40,000 B $110,000 $260,000 $80,000 $180,000 $90,000 D $20,000 $45,000 $10,000 $30,000 $10,000 Life/years 10 20 10 20 15 based on the above ME alternatives and using the B/C analysis, which alternative we should select? i=10%. OX OY OZ OW OV

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david s.