Improve Your Understanding of College Level Statistics Problems

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${\displaystyle \frac{1-i}{2+4i}}$

Prove the following statement: if x is irrational and y is irrational then x+y is irrational

There are several methods for system development such as Agile, XP, JAD and RUP. Identity any Two which you think are best for your case giving reasons

Miutiple answers may be possible (partial credit added for correct answers, pala credit deducted for incorect answers: You can't get a negative overall score for this question):
Which ofthe following are similarities of -tests and ANOVA?
B They assume homogeneity of variances.
A) They assume the Homegeneity of variances.
B) They compare the same number of group.
C) They make inferences about the relationship between two quantitative variables
D) They compare the between to the within group variation.
E) They assume normality within groups
F) They make inferences about population means

Find an exponential function that fits the experimental data collected over time t.

$$\begin{array}{|cccccc|}\hline t& 0& 1& 2& 3& 4\\ y& 600.00& 630.00& 661.50& 694.58& 729.30\\ \hline\end{array}$$

A population of values has a normal distribution with ${\displaystyle \mu =116.3}$ and ${\displaystyle \sigma =27.5}$. You intend to draw a random sample of size ${\displaystyle n=249}$.
Find the probability that a sample of size ${\displaystyle n=249}$ is a randomly selected with a mean greater than 117.3.
${\displaystyle P\left(\bar{X}>117.3\right)=}$?
Write your answers as numbers accurate to 4 decimal places.

Which one of the following is NOT a condition for inference comparing two means? both populations are Normally distributed the two sample sizes must be equal populations must be distinct independent simple random samples from two populations

Birth Weights Are the birth weights described quantitative data or categorical data?

(a)To find:the better job of summarizing the growth rates.
(b)To find:the measures in (d) the better job of summarizing the growth rates.

To explain: The ways in which relative frequencies can be used to help us in estimating probabilities occurring in sampling distributions.

Find the mean and median wage.
A supervisor at $\mathrm{\$}1,200$ a week, an inventory manager at $\mathrm{\$}700$ a week, six stock boys at $\mathrm{\$}400$ a week and four drivers at $\mathrm{\$}500$ are employed by a small warehouse.
Mean:
The sum of all the entries divided by the total number of entries is known mean.

Suppose you have selected a random sample of ? ${\displaystyle =14}$ measurements from a normal distribution. Compare the standard normal ? values with the corresponding ? values if you were forming the following confidence intervals.
a) $95\mathrm{\%}$ confidence interval
${\displaystyle ?=}$
${\displaystyle ?=}$
b) $80\mathrm{\%}$ confidence interval
${\displaystyle ?=}$
${\displaystyle ?=}$
c) $98\mathrm{\%}$ confidence interval
${\displaystyle ?=}$
${\displaystyle ?=}$

Chi-square tests are best used for which type of dependent variable?
nominal, ordinal
ordinal interval
nominal, interval
nominal, ratio

All groups of order 14

If X and Y are random variables and c is any constant, show that $E(c)=c$.

To explain:The purpose of the study.

Obtain the sampling distribution of $\bar{p}$

Which of the following are correct general statements about the Central Limit Theorem?
(Select all that apply. To be marked correct: All of the correct selections must be made, with no incorrect selections.)
Question 3 options:
Its name is often abbreviated by the three capital letters CLT.
The accuracy of the approximation it provides, improves as the sample size n increases.
The word Central within its name, is meant to signify its role of central importance in the mathematics of probability and statistics.
It is a special example of the particular type of theorems in mathematics, which are called Limit Theorems.
It specifies the specific standard deviation of the curve which approximates certain sampling distributions.
The accuracy of the approximation it provides, improves when the trial success proportion p is closer to $50\mathrm{\%}$.
It specifies the specific shape of the curve which approximates certain sampling distributions.
It specifies the specific mean of the curve which approximates certain sampling distributions.

If X and Y are random variables and c is any constant, show that $E(X+Y)=E(X)+E(Y)$.