An article in the Journal of Testing and Evaluation (1988, Vol. 16, pp. 508515) investigated the effects of cyclic loading frequency and environment conditions on fatigue crack growth at a constant...
Given M 1 = 88, M 2 = 83, t cv = 2.042, t = 2.040, and a two-tailed test with = .05, (a) Decide whether the null hypothesis was rejected or not, (b) Tell whether the difference between sample means...
The percentage of hardwood concentration in raw pulp, the freeness, and the cooking time of the pulp are being investigated for their effects on the strength of paper. The data from a three-factor...
If n 1 = 17 and n 2 = 18, determine the critical value of t for an independent-samples t test, two-tailed, = .05.
Cohens d, when calculated for a paired-samples t test, includes the effect of ____ as well as the effect of the independent variable on the ____.
As treatment has an impact on outcome, the value of the F ratio climbs above ____.
If treatment has ____ impact on outcome, the sample means are close together.
The number of categories of an independent variable in ANOVA are called ____.
If F cv = 3.238, draw a sampling distribution of F, label the rare and common zones, locate F = 1.96, and determine, for this F value, if the null hypothesis should be rejected.
Complete this ANOVA summary table: Sum of Degrees of Source of Mean Variability Squares Square Fratio Freedom Between 172.80 2 groups Within 6,410.80 12 groups Total 6,583.60 14
An article in the IEEE Transactions on Components, Hybrids, and Manufacturing Technology (1992, Vol. 15) described an experiment for aligning optical chips onto circuit boards. The method involves...
If SS Between = 138.76 and df Between = 4, what is MS Between ?
An article in the Journal of Quality Technology (1985, Vol. 17, pp. 198206) described the use of a replicated fractional factorial to investigate the effect of five factors on the free height of leaf...
Cohen considers an r 2 of 9% to be a ____ effect.
If the null hypothesis is not rejected, ANOVA results are reported in APA format as p ____ .05.
Determine the covariance and correlation for the CD4 counts in a month and the following month in Exercise 5-30. Exercise 5-30 An article in Health Economics [Estimation of the Transition Matrix of a...
If F cv = 2.486 and F = 1.98, is the null hypothesis rejected?
Within-subjects, one-way ANOVA is like between-subjects, one-way ANOVA but is for ____ samples.
Using the data on bridge conditions from Exercise 6-20, (a) Find the quartiles and median of the data. (b) Draw a box plot for the data. (c) Should any points be considered potential outliers?...
If cases within a sample influence each others scores on the dependent variable, then the ____ assumption is ____.
The abbreviation for the critical value of F is ____.
If the conclusion of a repeated-measures ANOVA is that there is no evidence of a difference among population means, then the null hypothesis was / was not rejected.
Researchers in the Hopkins Forest (see Exercise 7-16) also count the number of maple trees (genus acer) in plots throughout the forest. The following is a histogram of the number of live maples in...
df ____ and df ____ are not needed to find F cv for a one-way, repeated-measures ANOVA.
To calculate N, one multiplies together ____ and ____.
Let X 1 and X 2 be independent random variables with mean μ and variance Ï 2 . Suppose that we have two estimators of μ: (a) Are both estimators unbiased estimators...
Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk production. Bauman et al. (Journal of Dairy Science, 1989) reported that 12...
If one knows that the null hypothesis for a one-way, repeated-measures ANOVA was rejected, one does / does not know which pairs of sample means had statistically significant differences.
If a researcher suggests replication with a larger sample size, then he or she is probably worried about Type ____ error.
Given = .05, df Treatment = 3, df Residual = 24, F = 2.76, and F cv = 3.009, (a) Write the results in APA format, and (b) State if the results are statistically significant or not.
Setting the decision rule for one-way, repeated-measures ANOVA. (Assume = .05.) Given df Treatment = 3 and df Residual = 36, (a) What is F cv ? (b) Draw the sampling distribution of F, being sure to...
First-year college students were surveyed about how much they liked their roommates (a) Within five minutes of meeting them, (b) After the first week of classes, and (c) At the end of the semester....
State the null and alternative hypothesis in each case. (a) A hypothesis test will be used to potentially provide evidence that the population mean is more than 10. (b) A hypothesis test will be used...
Given R = 2, C = 4, n = 12, SS Rows = 78.00, SS Columns = 23.00, SS Interaction = 124.00, and SS Within = 350.00, complete the ANOVA summary table for a between-subjects, two-way ANOVA.
A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than 10 with known variance . What is the critical value for the test...
An article in the British Medical Journal [Comparison of Treatment of Renal Calculi by Operative Surgery, Percutaneous Nephrolithotomy, and Extracorporeal Shock Wave Lithotripsy (1986, Vol. 292, pp....
To qualify for a medical study, an applicant must have a systolic blood pressure in the 50% of the middle range. If the systolic blood pressure is normally distributed with a mean of 120 and a...
Consider the hypothesis test H 0 : 2 1 = 2 2 against H 1 : 2 1 2 2 . Suppose that the sample sizes are n 1 = 15 and n 2 = 15, and the sample variances are s 2 1 = 2.3 and s 2 2 = 1.9. Use =...
The average salary for graduates entering the actuarial field is $63,000. If the salaries are normally distributed with a standard deviation of $5000, find the probability that a. An individual...
Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300,...
See Table E11-1 for data on the ratings of quarterbacks for the 2008 National Football League season (The Sports Network). It is suspected that the rating (y) is related to the average number of...
For a certain group of individuals, the average heart rate is 72 beats per minute. Assume the variable is normally distributed and the standard deviation is 3 beats per minute. If a subject is...
A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the...
The number of calories per candy bar for a random sample of standard-size candy bars is shown below. Estimate the mean number of calories per candy bar with 98% confidence. Assume that all variables...
An article in the Journal of the American Statistical Association [Markov Chain Monte Carlo Methods for Computing Bayes Factors: A Comparative Review (2001, Vol. 96, pp. 11221132)] analyzed the...
A study was conducted attempting to relate home ownership to family income. Twenty households were selected and family income was estimated along with information concerning home ownership (y = 1...
A random sample of 50 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $18.21 per car. The population standard deviation is $5.92. Estimate the mean bill for all...
Exercise 11.1 described a regression model between percent of body fat (%BF) as measured by immersion and BMI from a study on 250 male subjects. The researchers also measured 13 physical...
If z r = 0.87 and s r = .08, what is the 95% confidence interval for in z r units?
Writing APA format with = .05, two-tailed. Given df = 87 and r = .18, write the results in APA format.
An article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 20332040) reported on a study that had analyzed powdered mixtures of coal and limestone for permittivity. The...
An article in Optical Engineering [Operating Curve Extraction of a Correlators Filter (2004, Vol. 43, pp. 27752779)] reported on the use of an optical correlator to perform an experiment by varying...
If r cv = .200, draw the sampling distribution of r and label the rare and common zones.
Given a one-tailed test, = .05, N =33, and H 1 : > 0, what is r cv ?
Given a two-tailed test with = .05 and df = 27, what is r cv ?
Table E12-11 presents quarterback ratings for the 2008 National Football League season (The Sports Network). (a) Fit a multiple regression model to relate the quarterback rating to the percentage of...
Table E12-12 presents statistics for the National Hockey League teams from the 20082009 season (The Sports Network). Fit a multiple linear regression model that relates wins to the variables GF...
Consider the regression model fit to the X-ray inspection data in Exercise 12-15. Use rads as the response. (a) Test for significance of regression using = 0.05. What is the P-value for this test?...
Consider the regression model fit to the stack loss data in Exercise 12-20. Use stack loss as the response. (a) Test for significance of regression using α = 0.05. What is the P-value...
Consider the NFL data in Exercise 12-21. (a) Test for significance of regression using α = 0.05. What is the P-value for this test? (b) Conduct the t-test for each regression...
The strength of relationship, in a scatterplot, is determined by how well the points form a ____.
Measures of ____ quantify the degree of relationship between two variables.
Suppose that two variables, X and Y, are negatively associated. Does this mean that above-average values of X will always be associated with below-average values of Y? Explain.
Consider the stack loss data in Exercise 12-20. Build regression models for the data using the following techniques: (a) All possible regressions. (b) Stepwise regression. (c) Forward selection. (d)...
A ____ slope means the line is moving down and to the right.
In the linear regression equation, b is the ____ and a is the ____.
What type of variable is required to construct a confidence interval for a population proportion?
Consider the diameter data in Exercise 15-75. Assume that the desired process target is 10.0 millimeters. (a) Estimate the process standard deviation. (b) Construct an EWMA control chart with...
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested? H 0 : = 4.2 H 1 : 4.2
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested? H 0 : = 120 H 1 : < 120
Match each of the given differential equations with one or more of these solutions: (a) y = 0, (b) y = 2, (c) y = 2x, (d) y = 2x 2 . 1. xy' = 2y 2. y' = 2 3. y' = 2y 4 4. xy' = y 5. y'' + 9y = 18 6....
At some vacation destinations, all-inclusive resorts allow you to pay a flat rate and then eat and drink as much as you want. There has been concern about whether these deals might lead to excessive...
You are bidding on four items available on eBay. You think that for each bid, you have a 25% chance of winning it, and the outcomes of the four bids are independent events. Let X denote the number of...
Approximately 70% of the U.S. population recycles. According to a green survey of a random sample of 250 college students, 204 said that they recycled. At = 0.01, is there sufficient evidence to...
The variance of a probability distribution of a random variable is a weighted average of its squared distances from the mean m. For discrete random variables, it equals Ï 2 = Σ(x -...
Solely on the basis of the physical description of the mixture problem on page 108 and in the following figure, discuss the nature of the functions x 1 (t) and x 2 (t). What is the behavior of each...
In APA format, if the results are written p > .05, this means the results fell in the ____ zone.
The hypotheses for a chi-square test of independence are stated the same way as they are for a ____.
A random sample of 30 large companies in the United States shows the amount, in millions of dollars, that each company donated to charity for a specific year. Construct a frequency distribution for...
The ____ is the nonparametric alternative to the independent-samples t test.
Finding 2 cv and setting the decision rule. Use = .05. (a) If df = 4, what is 2 cv ? (b) What is the decision rule?
The data show the maximum wind speeds for a sample of 40 states. Find the mean and modal class for the data. Class boundaries Frequency 47.554.5 3 54.561.5 2 61.568.5 9 68.575.5 13 75.582.5 8...
Calculating Ï 2 for a chi-square goodness-of-fit test. Given the information in the following matrix, calculate Ï 2 : -41 18 fobserve 14 observed 6.97 15.58 18.45 E=41.00 Expected
Calculating Ï 2 for a chi-square goodness-of-fit test. Given the information in the following matrix, calculate Ï 2 : f. 71 28 23 20 'observed spected 33.37 Expected f. 19.98 17.65 E=71.00
The frequency distributions shown indicate the percentages of public school students in fourth-grade reading and mathematics who performed at or above the required proficiency levels for the 50...
Calculating Ï 2 for a chi-square goodness-of-fit test. Given the information in the following matrix, calculate Ï 2 : f. 37 22 observed 58% %Expected 42%
Factory workers are constantly encouraged to practice zero tolerance when it comes to accidents in factories. Accidents can occur because the working environment or conditions themselves are unsafe....
Using APA format with = .05. If df = 4, N = 55, and 2 = 9.49, write the results in APA format.
The La Costa Corporation operates five manufacturing plants in South America. The company tracks the medical costs that are directly attributed to accidents that occur at the plants each year. The...
Given N = 123 and the information in the following contingency table, calculate the expected frequencies for the cells: Calculating expected frequencies. Outcome 1 Outcome 2 Group I Group II Group II...
A company in Silicon Valley periodically offers its employees a full health screen in which data are collected on several characteristics including percent body fat. Data for a sample of employees...
While waiting in line to donate blood, donors were asked, How many times have you donated before? The researcher recorded their gender and number of prior donations. Data set: Ch 03 Exercise 02.sav...
How does the two-way ANOVA differ from the oneway ANOVA?
Each rear tire on an experimental airplane is supposed to be filled to a pressure of 40 pounds per square inch (psi). Let X denote the actual air pressure for the right tire and Y denote the actual...
Nielsens Advertising and Audiences report indicated that during the 20132014 season, more people in the United States watched TV on Sundays during prime time (average of 125 million) than any other...
Let ||A|| be a matrix norm that is compatible with a vector norm ||x||. Prove that ||A|| || for every eigenvalue of A.
Sarin Employment helps midsized to large companies fill management and high-level technical positions. The file Sarin contains data for a sample of job placements that the company has facilitated....
A linear transformation T : V V is given. If possible, find a basis C for V such that the matrix [T] c of T with respect to C is diagonal. T : P 2 P 2 defined by T(p(x)) = p(3x + 2)
The human resources director of a Fortune 500 company recently asked her staff to conduct a study of the airline miles traveled by executives of the company during the most recent calendar year. The...
Let T : V W be a linear transformation between finite-dimensional vector spaces V and W. Let B and C be bases for V and W, respectively, and let A = [T] CB . Use the results of this section to give...