If one rejects the null hypothesis for an independent- samples t test, then look at the sample ____ in order to comment on the ____ of the difference.
If the result of an independent-samples t test is written as t(23) = 5.98, p < .05, then N was ____.
For an independent-samples t test, calculate ____ to quantify the size of the effect.
A d of ____ is considered a medium effect.
If the 95% confidence interval for the difference between population means fails to capture zero for a two-tailed test with = .05, then one has ____ the null hypothesis.
If the 95% confidence interval for the difference between population means comes close to zero, the size of the effect in the population may be ____.
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...
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 ____.
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...
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...
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
If SS Between = 138.76 and df Between = 4, what is MS Between ?
Cohen considers an r 2 of 9% to be a ____ effect.
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 the null hypothesis is not rejected, ANOVA results are reported in APA format as p ____ .05.
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...
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.
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.
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...
df ____ and df ____ are not needed to find F cv for a one-way, repeated-measures ANOVA.
To calculate N, one multiplies together ____ and ____.
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 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.
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...
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.
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...
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....
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.
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...
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...
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...
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....
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...
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...
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 =...
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...
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...
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 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...
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 ?
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...
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...
The strength of relationship, in a scatterplot, is determined by how well the points form a ____.
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...
Measures of ____ quantify the degree of relationship between two variables.
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...
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.
A ____ slope means the line is moving down and to the right.
In the linear regression equation, b is the ____ and a is the ____.
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)...
What type of variable is required to construct a confidence interval for a population proportion?
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
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...
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....
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...
Using the research studies described in the previous exercise, create null hypotheses and research hypotheses appropriate for the chosen statistical test: a. Taylor and Ste-Marie (2001) studied...
Volkswagen has created a series of videos based on its fun theory, the idea that you can change behavior if you take an activity that is good for society and makeit fun. (You can watch the videos at...
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 ____.
The ____ is the nonparametric alternative to the independent-samples t test.
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...
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 -...
Finding 2 cv and setting the decision rule. Use = .05. (a) If df = 4, what is 2 cv ? (b) What is the decision rule?
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
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%
Using APA format with = .05. If df = 4, N = 55, and 2 = 9.49, write the results in APA format.
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...
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 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...
How does the two-way ANOVA differ from the oneway ANOVA?
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...
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...
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....
Let ||A|| be a matrix norm that is compatible with a vector norm ||x||. Prove that ||A|| || for every eigenvalue of A.
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...
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...