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Identify the type of random sampling used in the study design.
The researcher is interested compare the student's loan debt for the students who attend four-year public universities and four-year private universities. A random sample of 100 graduates of the public universities and 100 graduates of private universities are taken.

You can rearrange the letters in the word "Sanction" how many times?

Let A and B be events with P(A)=0.6, P(B)=0.4, and ${\displaystyle P\left(B\mid A\right)=0.4}$. Find P(A and B).

Normal Distributions What is the difference between a standard normal distribution and a nonstandard normal distribution?

Two normally distributed variables have the same means and the same standard deviations. What can say about their distributions?

Which two of the four scatter plots have most positive correlation and closer to zero correlation

Answer true or false to the following statements and explain your answers.
a. In multiple linear regression, we can determine whether we are extrapolating in predicting the value of the response variable for a given set of predictor variable values by determining whether each predictor variable value falls in the range of observed values of that predictor.
b. Irregularly shaped regions of the values of predictor variables are easy to detect with two-dimensional scatterplots of pairs of predictor variables, and thus it is easy to determine whether we are extrapolating when predicting the response variable.

To find:The conditions for the population and the study design that are required by the procedure and are used to contruct the confidence interval.
To identify:The important conditions for the validity of the procedure in the given case.
In an experiment on the effect of calcium and blood pressure, 54 healthy white males are divided into two groups’ calcium and placebo. The summary statistic for the systolic blood pressure of the 27 members of the placebo group is ¥ = 114.9 and s=9.3.

In this exercise , a two-way table is shown for two groups , 1 and 2 , and two possible outcomes , A nad B $\begin{array}{|cccc|}\hline & \text{Outcome A}& \text{Outcome B}& \text{Total}\\ \text{Group 1}& 30& 20& 50\\ \text{Group 2}& 40& 110& 150\\ \text{Total}& 70& 130& 200\\ \hline\end{array}$
a) What proportion of all cases had Outcome A?
b) What proportion of all cases are in Group 1?
c) What proportion of cases in group 1 had Outcome B?
d) What proportion of cases who had Outcome A were in group 2?

You can use a scatterplot to estimate a value between two known values. Estimate the world production of oil when the United States produced 12% of the worlds

Suppose that strep throat affects 2% of the population and a test to detect it produces an accurate result 99% of the time. a. Create a two-way table for 10,000 people who were tested. b. What is the probability that someone who tests positive actually has strep throat?

Solve the binomial probability when n=10, p=0.40, x=9

$\begin{array}{|cccc|}\hline & \text{SUV}& \text{Sedan}& \text{Totals}\\ \text{Male}& 21& 39& 60\\ \text{Female}& & 45& 180\\ \text{Total}& 156& 84& \\ \hline\end{array}$ The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV a)0.25 b)0.55 c)0.75 d)0.87

A survey is done of customers at a coffee shop to determine whether there is any difference in the type of dri
ordered based on the gender of the customers. $\begin{array}{|ccccc|}\hline & \text{Coffea}& \text{Tea}& \text{Cold drink}& \text{Total}\\ \text{Men}& 80& 76& 34& 190\\ \text{Women}& 55& 39& 66& 160\\ \text{Total}& 135& 115& 100& 350\\ \hline\end{array}$ What is the probability that a customer in the survey is female given that she ordered cold drink?

Which of the following is(are) True?
I. The means of the Student’s t and standard normal distributions are equal.
II. The standard normal distribution approaches the Student’s t distribution as the degrees of freedom becomes large.
A. I only
B. II only
C. Both I and II
D. Neither I nor II

Matching Here are several scatterplots. The calculated correlations are -0.923, -0.487, 0.006, and 0.777.
Which is which?

Convert the binomial probability to a normal distribution probability using continuity correction. P (x <= 150).

Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. a) Ages of people at a Little League game. b) Number of siblings of people in your class. c) Pulse rates of college-age males. d) Number of times each face of a die shows in 100 tosses.

Distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(a) Suppose $n=100$ and $p=0.23$. Can we safely approximate the $\hat{p}$ distribution by a normal distribution? Why?
Compute ${\mu }_{\hat{p}}$ and ${\sigma }_{\hat{p}}$.