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STT 231: Exam 2 Questions and Correct Answers with Rationales (2026/2027)

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This document contains questions and verified answers for STT 231: Exam 2 . It includes detailed explanations, revision-focused content, and exam preparation material suitable for 2026/2027 students.

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STT 231: Exam 2

Distinction among p values and z rankings - ANS-z score compares a contemporary statistics
point to the information point's imply of the null version (zero), and a p fee could quantify the
chance of getting that facts factor below the null version

difference between pnorm and qnorm commands - ANS-pnorm: offers proportion/percent of
statistics within the given range
qnorm: gives the cutoff variety for the percentile of records inputted

greek letter for the styles of mistakes - ANS-type 1: alpha
kind 2: beta

how do SE and pattern length n relate? - ANS-as n will increase, SE decreases, inverse
courting.

How do you calculate the styles of errors and what statistics can we want to recognise for the
calculation? - ANS-want the null distribution and choice rule; use pnorm(decision rule, suggest,
std/sqrt n)

how do you calculate the z* price for a self belief c language? The t* fee? - ANS-z*: pnorm(1/2
1-the self assurance percentage, zero,1)
t*: qt(half of 1-the confidence percentage, df)

how do you create a qqplot in R? - ANS- instructions required:
1: qqnorm(statistics set$variable)
2: qqline(facts set$variable)

how is the electricity/sensitivity of a check determined? - ANS-subtracting beta (type 1 mistakes)
from 1

the way to interpret large/small z-rating values - ANS-huge z score: pattern statistics is either
larger/smaller than the null version
small z rating: null model can be a accurate representation due to the fact their is little
exceptional in phrases of widespread blunders among your found sample and the null model

a way to are expecting whether or not your pattern length is big enough to expect a regular
distribution? - ANS-observe the success-failure circumstance

how could you calculate margin of blunders if you are given the confidence c programming
language? - ANS-take the distance among the top and lower certain and divide with the aid of

, if you are given a hassle that gives the pattern imply and asks for the share greater than or
equal to a z score, what could you do? - ANS-set up the equation with the pnorm command the
use of the standard normal model, with pnorm(the value,zero,1)

if you had a preferred self assurance c program languageperiod, how could you calculate what
n needed to be? - ANS-set the given margin of errors equal to z*sqrt phase of the equation and
solve for n (equation on pg 112)

margins of types of mistakes - ANS-bottom l to r (do no longer get, get)
side top to bottom (do no longer need, want)

normal density curve - ANS-symmetric approximately the mean μ; has popular deviation σ;
overall place underneath the curve = 1.Zero; values of the random variable X on x-axis; chances
are represented via regions under the curve;

ordinary version for a sampling distribution of x bar - ANS-nevertheless N(zero,1) template,
however the mean is represented by way of mu, and the SD is sigma/rectangular root of n

normal model for sampling distribution of pi hat - ANS-nonetheless follows the rule of
widespread everyday curve (N(zero,1)), but it makes use of N(pi, SE equation) due to the fact

one-percentage confidence interval - ANS-gives a selection for viable PARAMETER values

one-percentage z take a look at? - ANS-describes the position of statistics in phrases of the
mean (zero) and is measured in popular deviations. Basically the quantity of widespread
deviations/widespread mistakes a sure data factor is from the imply of the null distribution

One-pattern t-test for the imply - ANS-a statistical test used to evaluate the dimensions and
significance of the difference among two manner (sample imply and null mean)

p-cost - ANS-assuming the null speculation is authentic, the possibility that you may examine
statistics as favorable or greater favorable for the opportunity speculation because the current
observed statistics

relationship among effect length and p fee - ANS-inverse, as impact size will increase, so does
ones self belief in the null version, and therefore the p price decreases as the proportion in one's
capability to fail to reject the null model will increase

courting between n and CI width? - ANS-as n will increase, CI will become extra slim

dating between the forms of mistakes - ANS-inverse, whilst one goes up, the other comes down

type 1 error - ANS-get unnecessary treatment (Ha is observed while Ho is actual)

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