Iranian researchers studied factors affecting patients likelihood of wearing orthodontic appliances, noting that orthodontics is perhaps the area of health care with the highest need for patient...
The National Center for Health Statistics reports in Vital Statistics of the United States that the median birth weight of U.S. babies was 7.4 lb in 2002. A random sample of this years births...
Let P 1 and P 2 be two probability functions on . Define a new function P such that P(A) = (P 1 (A)+P 2 (A))/2. Show the P is a probability function.
Suppose you throw five dice and all outcomes are equally likely. (a) What is the probability that all dice are the same? (b) What is the probability of getting at least one 4? (c) What is the...
Two resistors, with resistances R 1 and R 2 , are connected in series. R 1 is normally distributed with mean 100 and standard deviation 5 , and R 2 is normally distributed with mean 120 and...
Sketch a histogram for which a. The mean is greater than the median. b. The mean is less than the median. c. The mean is approximately equal to the median.
Table 3.12 classifies a sample of psychiatric patients by their diagnosis and by whether their treatment prescribed drugs. Partition chi-squared into three components to describe differences and...
Solve the ODE by integration or by remembering a differentiation formula. y' + xe -x2/2 = 0
Proportion of automobiles sold during the last quarter by eight major manufacturers Match this description of variables to a bar chart, Pareto chart, pie chart, or frequency table. Some are counts...
Use the following data on weekly salaries at Donovans Construction Company. About what percent of employees salaries exceeded $770? First quartile Third quartile $825 79th percentile $832 $770 $820...
Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 - sin
Construct a data set that has the given statistics. N = 6 = 5 2
Find the probability of choosing five first-shift workers. A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random...
A member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is...
Test the claim about the population mean at the level of significance . Assume the population is normally distributed. Claim: = 25; = 0.05. Sample statistics: x = 26.2, s = 2.32, n = 17
Eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes. (a) Display the data in a scatter plot, (b) Calculate the sample correlation coefficient r,...
In Exercise 24, remove the data for the girl who is 57 inches tall and scored 128 on the IQ test from the data set. Describe how this affects the correlation coefficient r. Data from Exercise 24: The...
The heights (in feet) and the numbers of stories of the nine tallest buildings in Houston, Texas (a) x = 950 feet (b) x = 850 feet (c) x = 800 feet (d) x = 700 feet Find the equation of the...
Is there a difference in the satisfaction rating of traditional cellphone providers who bill for service at the end of a month often under a contract and prepaid cellphone service providers who bill...
One of the steps involved in the processing of corn flakes for cereals involves toasting the flakes. The file CornFlakes contains the following data for corn flakes thickness (mm) for four different...
Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally...
1. Develop a table that shows the number of wines that were classified as classic, outstanding, very good, good, mediocre, and not recommended and the average price. Does there appear to be any...
The marketing department has been given the assignment of designing colour codes for the 42 different lines of compact disks (CDs) sold by Goody Records. Three colours are to be used on each CD, but...
Consumers were surveyed on the number of visits to a Sears store (often, occasional, and never) and if the store was located in an enclosed mall (yes and no). The results are summarized in a...
An endowment fund is set up with a donation of $100,000. If it earns 3% compounded monthly, for how long will it sustain end-of-month withdrawals of $1000? (Include the final, smaller withdrawal.)
Mr. Michaluk has a $50,000 personal (revolving) line of credit with the Canadian Imperial Bank of Commerce (UK). The loan is on a demand basis at a floating rate of prime plus 1.5%. On the 15th of...
The set of mobile gaming apps in which the number of monthly users was greater than 12 million. Use the following table, which shows the number of monthly users, in millions, for the 10 most used...
According to a 2018 Pew Research Center report on social media use, 28% of American adults use Instagram. Suppose a sample of 150 American adults is randomly selected. We are interested in finding...
Factor the Gaussian integer into a product of irreducibles in Z[i]. 4 + 3i
(i) Write an expression for the distance around the edge of each of these shapes. (ii) Simplify your expression where possible. a. b. c. d. e. f. g. h. X 4
The diagram shows an open water container in the shape of a triangular prism of length y cm. The vertical cross-section is an isosceles triangle with sides 5xcm, 5xcm and 6xcm. The water container is...
The exponential function y(x) = Ce ax satisfies the conditions y(0) = 2 and y(1) = 1. Find the constants C and a. What is y(2)?
Prove that Then show that the regions under the hyperbola over the intervals [1, 2], [2, 4], [4, 8], . . . all have the same area (Figure 3). bla 1 1 L = = dx = fi = = dx te - Ja x X dx for a, b 0.
What is the sensitivity of this test? To possibly improve on the diagnostic accuracy of the clinical diagnosis for Alzheimers disease, information on both the APOE genotype as well as the clinical...
If the visual analog scale is treated as a continuous variable, assess whether there are any between-group differences in efficacy without considering the covariates. Try to do at least one analysis...
Repeat the analyses in Problem 12.67 for the mean change in TBUT at 15 minutes post-instillation vs. baseline? Data from 12.67 Use mixed effects methods to compare the mean change in TBUT immediately...
Report the following: Mean number of letters memorized in recognizable groups________ SD of number of letters memorized in recognizable groups________ Mean number of letters memorized when not in...
The owner of a small book-publishing company is concerned about the declining number of people who read books. To learn more about the problem she takes a random sample of customers in a retail book...
Actual lengths of stay at a hospitals emergency department in 2009 are shown in the following table (rounded to the nearest hour). Length of stay is the total of wait and service times. Some longer...
Evaluate the strength of evidence for the hypotheses in the previous question. a. Find the p-value for the hypotheses in the previous question using a simulation-based approach. b. Based on the...
Classify each statement as an example of classical probability, empirical probability, or subjective probability. a. The probability that a student will get a C or better in a statistics course is...
Here are the living arrangements of children under 18 years old living in the United States in a recent year. Numbers are in thousands. Both parents..........................51,823 Mother...
Find the probability of getting 2 face cards (king, queen, or jack) when 2 cards are drawn from a deck without replacement.
For the following situation, indicate whether the statistical application is primarily descriptive or inferential. The manager of Annas Fabric Shop has collected data for 10 years on the quantity of...
A study conducted in 2002 by Shiff man, Dressler, Hajeh, and Gilburt investigated whether a nicotine lozenge is helpful for smokers trying to quit smoking. The researchers recruited smokers who were...
A random sample of 25 tablets of buffered aspirin contains, on average, 325.05 mg of aspirin per tablet, with a standard deviation of 0.5 mg. Find the 95% tolerance limits that will contain 90% of...
A music teacher held an assembly at an elementary school during which he explained the different types of instruments to the children. Afterwards, he surveyed them as to what kind of instrument each...
Given this data set (12, 9, 15, 13 and 11) with a mean of 12.00, find the following: (a) N, (b) (X M), (c) (X M) 2 .
A nurse practitioner took a sample of five people from the population of people with high blood pressure and measured their systolic blood pressures as 140, 144, 148, 156, and 162 with a mean of...
What are the z scores associated with the middle 54% of scores?
Consider the following computer output for an experiment. (a) How many replicates did the experimenter use? (b) Fill in the missing information in the ANOVA table. Use bounds for the P-value. (c)...
In a fixed-effects model, suppose that there are n observations for each of four treatments. Let Q 2 1 Q 2 2 , and Q 2 3 be single-degree-of-freedom sums of squares for orthogonal contrasts. A...
An engineer suspects that the surface finish of metal parts is influenced by the type of paint used and the drying time. He selected three drying times20, 25, and 30 minutesand used two types of...
A researcher has a first-grade readiness test that is administered to kindergarten students and scored at the interval level. The population mean is 60 with a standard deviation of 10. He has...
An article in Medicine and Science in Sports and Exercise [Maximal Leg-Strength Training Improves Cycling Economy in Previously Untrained Men (2005, Vol. 37, pp. 131136)] studied cycling performance...
Can the percentage of the workforce who are engineers in each U.S. state be predicted by the amount of money spent in on higher education (as a percent of gross domestic product), on venture capital...
Find the z value that corresponds to the given area. 0.4175
The data show the heights (in feet) of notable waterfalls in North America. Organize the data into a grouped frequency distribution using 6 classes. This data will be used for Exercises 7, 9, and 11....
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 two groups: Those...
In an effort to determine the effectiveness of light therapy to alleviate depression, you recruit a group of individuals who have been diagnosed with depression. The participants are randomly...
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...
Acme Industries has implemented a new website for employees to enter their weekly hours (e.g., start time, end time, sick hours, vacation hours, holiday hours, family leave hours). Upon clicking...
Prove that the logistic regression curve (5.1) has the steepest slope where (x) = 1/2. Generalize to model (5.8).
Why is it easier to get a precise estimate of the binomial parameter when it is near 0 or 1 than when it is near 1/2?
For each variable, decide if it is continuous or discrete: a. The depth, in inches, a person can drive a 3 nail with one hammer blow b. The number of students in a classroom who are absent for at...
Given this ANOVA summary table, write the results in APA format using α = .05. (Use df Between and df Within to find F cv in order to determine if the null hypothesis was rejected.)...
Let X 1 , . . . , X 10 be independent Poisson random variables with λ = 1. Consider
Let X and Y have joint density for real x, y. (a) Identify the distribution of X and Y and parameters. (b) Identify the conditional distribution of X given Y = y. (c) Use R to find P(X >1|Y = 0.5)...
A large restaurant chain (see Example 1.6) periodically offers special milk shake flavors for a limited time. Suppose that the contenders for the next special flavor are Green Mint, Orange Crush, Egg...
Computer output giving descriptive statistics for the percent of the population that is obese for each of the 50 US states, from the USStates dataset, is given in Figure 2.27. Figure 2.27 (a) What is...
As we have seen, bootstrap distributions are generally symmetric and bell-shaped and centered at the value of the original sample statistic. However, strange things can happen when the sample size is...
Data 2.2 on page 61 includes information on length of gestation (length of pregnancy in days) for 40 species of mammals. (a) Use the data, available in MammalLongevity, and StatKey or other...
Use StatKey or other technology and the data in Exercise Hours to carry out any two of the three randomization procedures as described in parts (a) to (c) in Exercise 4.144 comparing mean hours of...
Worldwide, the proportion of babies who are boys is about 0.51. A couple hopes to have three children and we assume that the sex of each child is independent of the others. Let the random variable X...
Calculate C F(r) d r for the given data. If F is a force, this gives the work done by the force in the displacement along C. Show the details. F = [xy, x 2 y 2 ], C from (2, 0) straight to (0, 2)
Are the following functions analytic? Use (1) or (7). f(z) = Arg 2z
Find v such that p, q, u in Prob. 21 and v are in equilibrium. Data from Prob. 21 Find the resultant in terms of components and its magnitude. p = [2, 3, 0], q = [0, 6, 1], u = [2, 0, -4]
Phone A recent study shows that 17% of a random sample of 1954 cell phone owners do most of their online browsing on their phone. The standard error for the proportion is 0.0085. The sample size is...
Multiple births make up about 3% of births per year in the United States. The following artwork illustrates the number and type of multiple births in the U. S. in 2012. Using the above information,...
The Freemans have decided to build a new house. The contractor quoted them a price of $135,700. The taxes on the house will be $3450 per year, and homeowners insurance will be $350 per year. They...
Consider the circles shown. Assume that one circle is selected at random and each circle is equally likely to be selected. Determine the probability of selecting. A number greater than 4, given that...
Eighteen students in a geology class were asked how many college credits they had earned. The responses are as follows. Construct a stem-and-leaf display. 10 15 24 36 48 45 42 53 60 17 24 30 33 45 48...
Solve each system of equations. If the system has no solution, say that it is inconsistent. + %3D 2 2 3D 8
Solve each system of equations using Cramers Rule if it is applicable. If Cramers Rule is not applicable, say so. + 4 3z %3D 0 + 3z 3D 0 + + 6z %3D 0
Evaluate the integral by reversing the order of integration. Cedy Jo dx dy et?
In a special diet for a hospital patient, the total amount per meal of food groups A, B, and C must equal 400 g. The diet should include one-third as much of group A as of group B. The sum of the...
Find an equation of the plane through the line of intersection of the planes x - z = 1 and y + 2z = 3 and perpendicular to the plane x + y - 2z = 1.
A recent poll of 1,423 randomly sampled likely voters shows your favorite candidate ahead, with 51.93% in favor. There are two candidates. Use hypothesis testing to infer to the larger group of all...
A survey of 4787 U.S. adults found that 15% use ride-hailing applications. Identify the population and the sample. Describe the sample data set.
Find the probability that a student took the exam for the first time, given that the student failed. Use the table, which shows the numbers of students from American Bar Association approved law...
The final exam scores of 24 randomly selected students in a statistics class are shown in the table at the left. Use a 95% level of confidence. Assume the sample is from a normally distributed...
From a random sample of 24 months from January 2006 through December 2016, the mean number of tornadoes per month in the United States was about 100. Assume the population standard deviation is 114....
A medical researcher says that less than 80% of U.S. adults think that healthy children should be required to be vaccinated. In a random sample of 200 U.S. adults, 82% think that healthy children...
To compare the mean ages of male and female participants in a 10K race, you randomly select several ages from both sexes. The results are shown below. Construct a 95% confidence interval for the...
Seven hundred adults who eat ice cream regularly were asked about their favorite ice cream. The following table gives the two-way classification of their responses. a. One adult is randomly selected...
What assumptions about the two populations are necessary in Problem 10.2?
The file AccountingPartners contains the number of partners in a cohort of rising accounting firms that have been tagged as firms to watch. The firms have the following number of partners: a. Compute...
Movie companies need to predict the gross receipts of individual movies once a movie has debuted. The data, shown below and stored in PotterMovies , are the first weekend gross, the U.S. gross, and...
Thirty companies comprise the DJIA. How big are these companies? One common method for measuring the size of a company is to use its market capitalization, which is computed by multiplying the number...
Here are some plots of residuals for the regression of Exercise 13: Which of the regression conditions can you check with these plots? Do you find that those conditions are met? 400 + 200 -200 + 400...