In the descriptive statistics of the screening test scores for the students who did not default, identify the value of the third quartile and interpret its meaning. If this numerical value had been...
13.122 Use polytomous logistic regression with group = 0 as the reference group to assess the association between SBP z-score group and the following variables: (a) BMI, (b) height, (c) region (i.e.,...
There are no universally accepted definitions of the ages of Millennials and Generation Xers; the consensus is that the former are Americans born between 1984 and 2000 and the latter are Americans...
Construct adjacent dotplots (use box plots if the dotplot feature is not available on your computer statistical package) and visually compare the screening test scores of students who did not default...
Suppose that Sasha and Jayla both collect data to investigate whether people tend to call heads more often than tails when they are asked to call the result of a coin flip. If Sasha has a smaller...
A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. The well-mixed solution is pumped out...
The following dotplot shows the average monthly temperatures ( o F) for San Francisco, CA, and Raleigh, NC. a. What are the observational units here? b. Identify the response variable and whether it...
To investigate whether or not people tend to marry spouses of similar ages or whether husbands tend to be older than their wives, a student gathered age data from a sample of 24 couples, taken from...
Determine whether the distribution represents a probability distribution. If it does not, state why. 3 1 0.3 P(X) 0.3 0.4 0.1
A researcher from a search engine company runs Internet searches and times how long each one takes. She found that 17 searches took 0.01 to 0.05 seconds; 57 took 0.06 to 0.10 seconds; 134 took 0.11...
In a study to see if there was an association between weight loss and the amount of a certain protein in a persons body fat, the researchers measured a number of different attributes in their 39...
Find the median and the mode for the following data: 65, 66, 66, 70, 71, 72, 72, 72, 78, 83, 85, 86, 87, 87, 88, 88, 92, 93, 95, 95, 99, 100, 102, 102, 102, 102, 102, 103, 104, 108, 111, 113, 118,...
What are the z scores associated with the extreme 18% of scores?
If Ebonys score on an IQ test is 113, what is her score as a z score?
If s = 25, M = 150, and z = 0.75, what is X?
Chocolate type in Exercise 13-4. Use = 0.05. (a) Apply Fishers LSD method with = 0.05 and determine which levels of the factor differ. (b) Use the graphical method to compare means described in...
The 95% confidence interval for the difference between population means probably captures the real difference between the ____.
If MS Within = 764.55 and MS Between = 898.00, what is F?
If F Rows = 2.87, df Rows = 2, df Within = 171, and F cv Rows = 3.053, write the results in APA format. Use = .05.
If = .05, df Rows = 3, df Columns = 1, df Interaction = 3, and df Within = 40, find (a) F cv Rows , (b) F cv Columns , and (c) F cv Interaction .
Consider the hypothesis test H 0 : 1 = 2 against H 1 : 1 2 . Suppose that sample sizes are n 1 = 15 and n 2 = 15, that x 1 = 4.7 and x 2 = 7.8, and that s 2 1 = 4 and s 2 2 = 6.25. Assume that ...
Given these data, make a scatterplot: Case 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 44 46 48 47 49 50 48 49 52 52 53 54 54 55 56 29 25 28 34 26 30 32 36 27 37 4 31 34 25 30
The differential equation dy/dx = P(x) + Q(x)y + R(x)y 2 is known as Riccatis equation. (a) A Riccati equation can be solved by a succession of two substitutions provided that we know a particular...
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why. A random sample of 30 cars in a used...
Determine whether the distribution is a discrete probability distribution. If not, state why. x P(x) 100 ..................0.25 200 ..................0.25 300 ..................0.25 400...
Describe the sampling distribution of p. Assume that the size of the population is 25,000 for each problem. n = 1000, p = 0.103
Refer to the previous exercise. Over the course of a season, this player shoots 400 free throws. a. Find the mean and standard deviation of the probability distribution of the number of free throws...
The frequency distribution shows a sample of the waterfall heights, in feet, of 28 waterfalls. Find the variance and standard deviation for the data. Class boundaries Frequency 52.5185.5 8 185.5318.5...
Given this matrix, how many degrees of freedom are there for this chi-square goodness of- fit test?
An experimental group and a control group were compared in terms of whether they recovered from an illness in 5 or fewer days, 6 to 10 days, or more than 10 days. Make a labeled contingency table...
Suppose a bank that issues credit cards claims that its customers average annual spending per active account is $6,920. An analysis of a random sample of credit card accounts provided the data on...
Clinicians at a nursing home facility want to see if giving residents a plant to tend to will help lower depression. To test this idea, the residents are randomly assigned to one of three groups:...
Assume a finite population has 10 elements. Number the elements from 1 to 10 and use the following 10 random numbers to select a sample of size 4. .7545 .0936 .0341 .3242 .1449 .9060 .2420 .9773...
A population contains 50,000 voters. Use the random number table to identify the voters to be included in a random sample of n = 15.
Prior to a Heart Health presentation, you administer a survey asking participants to indicate how many times they used the stairs (as opposed to the elevator) in the past week. A week after the...
A study of college graduates involves three variables: income level, job satisfaction, and one-way commute times to work. List some ways the variables might be confounded.
A social scientist has noticed that people seem to be spending a lot of nonwork hours on computers and wants to determine if this may, in some way, be associated with social relationship satisfaction...
Suppose that license plates can be two, three, four, or five letters long, taken from the alphabets A to Z. All letters are possible, including repeats. A license plate is chosen at random in such a...
Given the ANOVA summary table below, write the results in APA format for (a) The rows effect, (b) The columns effect, and (c) The interaction effect. Use α = .05. Degrees Source of Sum...
A study considered the effect of prednisolone on severe hypercalcaemia in women with metastatic breast cancer (B. Kristensen et al., J. Intern. Med. 232: 237245, 1992). Of 30 patients, 15 were...
Two random samples of earnings of professional golfers were selected. One sample was taken from the Professional Golfers Association, and the other was taken from the Ladies Professional Golfers...
Acme Research Labs gathers data on an on going basis; you have been asked to automate the analytic process for a data set that is updated each week. Data set: Ch 14 - Exercise 06.sav Codebook...
In a population, suppose personal income above $15,000 has a Pareto distribution with a = 1.8 (units are $10,000). Find the probability that a randomly chosen individual has income greater than...
Use Table B in your textbook to find the critical t values for the following hypothesis tests: 1. One-tailed test, upper tail critical, α = .01, df = 15 2. Two-tailed test ,...
In a study conducted at Virginia Tech on the development of ectomycorrhizal, a symbiotic relationship between the roots of trees and a fungus, in which minerals are transferred from the fungus to the...
The 1988 General Social Survey compiled by the National Opinion Research Center asked: Do you support or oppose the following measures to deal with AIDS9 (1) Have the government pay all of the health...
In a certain university, math SAT scores for the entering freshman class averaged 650 and had a standard deviation of 100. The maximum possible score is 800. Is it possible that the scores of these...
The cumulative distribution function for a random variable X is (a) Find P(0.1 < X < 0.2). (b) Find E[X]. if r <0 '0, F() 3D { sin a, if0 /2. 1,
Given target row totals {r i > 0) and column totals {c j > 0): a. Explain how to use IPF to adjust sample proportions {p ij } to have these totals but maintain the sample odds ratios. b. Show how to...
The 99-10 rule on the Internet says that 99% of the content generated in Internet chat rooms is created by 10% of the users. If the amount of chat room content has a Pareto distribution, find the...
Babies birth weights are normally distributed with mean 120 ounces and standard deviation 20 ounces. Low birth weight is an important indicator of a newborn babys chances of survival. One definition...
Match the item in the first column with the concept that can be observed, test statistic, or estimate from the second column. Normal quantile plot (a) Similar variances (b) F-statistic (c)...
Heights of adult males in the US are approximately normally distributed with mean 70 inches (5 ft 10 in) and standard deviation 3 inches. (a) What proportion of US men are between 5 ft 8 in and 6 ft...
Thirty students are asked to choose a random number between 0 and 9, inclusive, to create a dataset of n = 30 digits. If the numbers are truly random, we would expect about three 0s, three 1s, three...
The dataset ICUAdmissions contains information on patients admitted to an Intensive Care Unit. The variable Status indicates whether the patient lived (0) or died (1), while the variable Sex...
Find Re f, and Im f and their values at the given point z. f (z) = (z - 2)/(z + 2) at 8i
If the length, width, and height of a cube all double, what happens to the volume of the cube?
Estimate the maximum number of smaller figures (at left) that can be placed in the larger figure (at right) without the small figures overlapping.
For each of the following (separate) sets of data, compute the values needed in order to fill in the answer spaces. Then answer the additional questions that follow. (Use the appropriate summation...
Find the steady-state temperature in the plate in Prob. 21 if the lower side is kept at U 0 °C the upper side at U 1 °C and the other sides are kept at 0°C. Split into two problems in...
Use the Law of Exponents to rewrite and simplify the expression. (a) 4 3 /2 8 (b) 1/3x 4
Water is poured into a container in the shape of a right circular cone with radius 4 feet and height 16 feet. See the figure. Express the volume V of the water in the cone as a function of the height...
Represent each circuit with a symbolic statement. Then use a truth table to determine if the circuits are equivalent. b.
Determine which, if any, of the three statements are equivalent. (a) If the bird is red, then it is a cardinal. (b) The bird is not red or it is a cardinal. (c) If the bird is not red, then it is not...
The Bells obtain a 25-year, $110,000 conventional mortgage at a 10.5% rate on a house selling for $160,000. Their monthly mortgage payment, including principal and interest, is $1038.60. They also...
Angel has seven DVD movies on a shelf: 4 dramas, 2 science fiction movies, and 1 comedy. Two movies will be selected at random. Determine the probability of selecting each of the following (a) With...
A single fair die is rolled twice. (a) Determine the number of sample points in the sample space. (b) Construct a tree diagram and list the sample space. Determine the probability that (c) A double...
A pea plant must have exactly one of each of the following pairs of traits: short (s) or tall (t); round (r) or wrinkled (w) seeds; yellow (y) or green (g) peas; and white (wh) or purple (p) flowers...
Use the following data on weekly salaries at Donovans Construction Company. What salary did half the employees exceed? First quartile Third quartile $825 79th percentile $832 $770 $820 Mean Median...
The drawing below shows the floor plan of the Bougainvillea model home offered by Alstrom Builders of Waco, Texas. Place vertex O near the bottom of the graph. Use a graph to represent the floor plan...
Evaluate the following limits or state that they do not exist. 2x 3 lim x0 4x + 10
Complete the following statement. If dy/dx is large, then small changes in x result in relatively ________ changes in the value of y.
A race Jean and Juan run a one-lap race on a circular track. Their angular positions on the track during the race are given by the functions (t) and (t), respectively, where 0 t 4 and t is measured...
Evaluate the derivatives of the following functions. g(z) = tan -1 (1/z)
The Gateway Arch in St. Louis is often mistaken to be parabolic in shape. In fact, it is a catenary, which has a more complicated formula than a parabola. The Arch is 625 feet high and 598 feet wide...
Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint....
Evaluate the triple integral. where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded by the curves y = x , y = 0, and x = 1 6 dV,
Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 4
Consider the Walt Disney Companys quarterly revenues as shown in Table 14.4.1. a. Draw a time-series plot for this data set. Describe any trend and seasonal behavior that you see. b. Find the moving...
By substituting values into the equation, decide which of the following points lie on the line, x + 4y = 12: A(12, 0), B(2, 2), C(4, 2), D(8, 5), E(0, 3)
A taxi firm charges a fixed cost of $4 plus a charge of $2.50 a mile. (a) Write down a formula for the cost, C, of a journey of x miles. (b) Plot a graph of C against x for 0 x 20. (c) Hence, or...
A firms production function is given by Q = 16K + 6L where Q, K and L denote output, capital and labour, respectively. The cost of providing each unit of capital and labour is $80 and $27,...
The numbers of courses taught per semester by a random sample of university professors are shown in the histogram. Make a frequency distribution for the data. Then use the table to estimate the...
Determine the level of measurement of the data listed on the horizontal and vertical axes in the figure. How Many Vacations Are You Planning to Take This Summer? 50 40 30 20 10 5 or more 1-2 3-4...
Find the probability that a randomly selected degree will be in business or psychology. Use the table, which shows the numbers (in thousands) of bachelors degrees for a recent year. Health...
You are given that P(A) = 0.15 and P(B) = 0.40. Do you have enough information to find P(A or B)? Explain.
A survey found that 36% of frequent gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play...
Ten percent of college graduates think that Judge Judy serves on the Supreme Court. You randomly select five college graduates and ask them whether they think that Judge Judy serves on the Supreme...
You randomly select one card from a standard deck of 52 playing cards. Event B is selecting the ace of spades. Determine the number of outcomes in the event. Then decide whether the event is a simple...
Find the area of the shaded region under the standard normal curve. If convenient, use technology to find the area.
Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability. P(z < -0.18)
Find the indicated z-score(s) shown in the graph. Area = 0.3520 z = ? 0
Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. H 0 : p = 0.25 H a : p 0.25
From a random sample of 64 dates, the mean record high daily temperature in the Chicago, Illinois, area has a mean of 84.13F. Assume the population standard deviation is 14.56F. You are given the...
Determine whether a normal sampling distribution can be used. If it can be used, test the claim. Claim: p < 0.12; = 0.01. Sample statistics: p = 0.10, n = 40
Determine whether a normal sampling distribution can be used. If it can be used, test the claim. Claim: p 0.48; = 0.08. Sample statistics: p = 0.40, n = 90
Explain the following sampling techniques: simple random sampling, systematic random sampling, stratified random sampling, and cluster sampling.
The table in Exercise 26 shows the maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international...
Construct an ordered array, given the following stem-and-leaf display from a sample of n = 7 midterm exam scores in information systems: 446 19 2.
If SSE = 10 and SSR = 30, compute the coefficient of determination, r 2 , and interpret its meaning.