Practice Math Statistics Problems and Master the Concepts

Identify which assumption is needed to use the linear regression model to make inferences about the relationship.
Identify which assumption is the least critical.

mattgondek4 2020-10-21

An issue of BARRON’S presented information on top wealth managers in the United States, based on individual clients with accounts of $1 million or more. Data were given for various variables, two of which were number of private client managers and private client assets. a) Obtain a scatterplot for the data. b) Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)–(f). c) Determine and interpret the regression equation for the data. d) Identify potential outliers and influential observations. e) In case a potential outlier is present, remove it and discuss the effect. f) In case a potential influential observation is present, remove it and discuss the effect.

Rivka Thorpe 2020-10-21

Understanding the Concepts and Skills Give correct answer for in using F-procedures to make inferences for two population standard deviations, why should the distributions (one for each population) of the variable under consideration be normally distributed or nearly so?

boitshupoO 2020-10-21

An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. The length of the pond is two times its width.
Find the length and width of the pond.

Tabansi 2020-10-21

What does the variance of a random variable measure?
What is the standard deviation of a continuous random variable X?

shadsiei 2020-10-21

After hearing of the national result that 44% of students engage in binge drinking (5 dri
a sitting for men, 4 for women), a professor surveyed a random sample of 244 students at his college and found that 96 of them admitted to binge drinking in the past week. Should he be surprised at this result? Explain.

mattgondek4 2020-10-21

For each of the following test, outline a research scenario and use any hypothetical data to show how the test is conducted.
Paired two-sample t-test

nitraiddQ 2020-10-21

Explain which measure of spread would best describe the payroll:the range,the IQR, or the standard deviation.

permaneceerc 2020-10-20

When drawing conclusions about the variance of a single population, what probability distribution is used?
When comparing the variance of two populations,
The assumption of is known to affect the F test's sensitivity when comparing two population variances. ?

slaggingV 2020-10-20

A) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out.
B) What might you do instead of weighing the nuts in order to use a x2 test?
Nuts A company says its premium mixture of nuts con- tains 10% Brazil nuts, 20% cashews, 20% almonds, and 10% hazelnuts, and the rest are peanuts. You buy a large can and separate the various kinds of nuts. Upon weigh- ing them, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises.

Suman Cole 2020-10-20

Explain whether there are any outliers in these data or not.
The 5-number summary for the run times in minutes of the 150 highest grossing movies of 2010 is provided.

Line 2020-10-20

Suppose you are testing whether the lifetime of 4 different types of lightbulbs. You run 5 experiments each. You get a mean square error of $M S_{E} = 1.75$ and you reject the null hypothesis. The sample means you obtain for each lightbulb are below:
Type 1: 20
Type 2: 30
Type 3: 28
Type 4: 22
Which pairs are significantly different at the $5 %$ significance level? Select all that apply.

opatovaL 2020-10-20

Check whether the standard error of the sampling distributions of bar p obtained in part(a) and part(b) are different.

UkusakazaL 2020-10-20

The table shows the total cost c of buying t movie tickets. Write an equation to represent the relationship between c and t.

$\begin{array}{cc} t & с \\ 1 & 7 \\ 2 & 14 \\ 3 & 21 \\ 4 & 28 \end{array}$

Carol Gates 2020-10-20

A January 2007 Gallup Poll question asked, "In general, do you think things have gotten better or gotten worse in this country in the last five years?" Possible answers were “Better”, "Worse”, "No Change", “Don't Know”, and “No Response". What kind of variable is the response?

Khaleesi Herbert 2020-10-20

Do the following summarize a categorical variable or a numerical variable? Explain.
(1) For a football player, the average number of yards per carry in one game
(2) For a basketball player, the shooting percentage during one game
(3) For a baseball player, his batting average during the playoffs
(4) For a hockey player, the time on ice per game

ringearV 2020-10-19

A chi-square homogeneity test is to be conducted to decide whether four populations are nonhomogeneous with respect to a variable that has eight possible values. What are the degrees of freedom for the $x^{2}$ -statistic?

Tammy Todd 2020-10-19

Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. This two-way table summarizes the survey data.

$\begin{matrix} G r a d e M o s t i m p o r t a n t & \begin{array}{lcccc} \begin{matrix} 4 th g r a d e \end{matrix} & \begin{matrix} 5 th grade \end{matrix} & \begin{matrix} 6 th g r a d e \end{matrix} & T o t a l \\ G r a d e s & 49 & 50 & 69 & 168 \\ A t h l e t i c & 24 & 36 & 38 & 98 \\ P o p u l a r & 19 & 22 & 28 & 69 \\ T o t a l & 92 & 108 & 135 & 335 \end{array} \end{matrix}$

Suppose we select one of these students at random. What's the probability that: The student is a sixth grader or a student who rated good grades as important?

FizeauV 2020-10-19

In an experiment designed to study the effects of illumination level on task performance (“Performance of Complex Tasks Under Different Levels of Illumination,” J. Illuminating Eng., 1976: 235–242), subjects were required to insert a fine-tipped probe into the eyeholes of ten needles in rapid succession both for a low light level with a black background and a higher level with a white background. Each data value is the time (sec) required to complete the task.
$\begin{array}{cc} S u b j e c t & (1) & (2) & (3) & (4) & (5) & (6) & (7) & (8) & (9) \\ B l a c k & 25.85 & 28.84 & 32.05 & 25.74 & 20.89 & 41.05 & 25.01 & 24.96 & 27.47 \\ W h i t e & 18.28 & 20.84 & 22.96 & 19.68 & 19.509 & 24.98 & 16.61 & 16.07 & 24.59 \end{array}$
Does the data indicate that the higher level of illumination yields a decrease of more than 5 sec in true average task completion time? Test the appropriate hypotheses using the P-value approach.

lwfrgin 2020-10-18

How is the distinction between qualitative and quantitative data in social research is essentially the distinction between numerical and nonnumerical data?

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