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1. Some researchers have conjectured that stem-pitting disease in peach tree seedlings might be controlled with weed and soil treatment. An experiment was conducted to compare peach tree seedling growth with soil and weeds treated with one of two herbicides.In a field containing 10 seedlings, six were randomly selected throughout the field and assigned to receive Herbicide A. The remaining seedlings were to receive Herbicide B. Soil and weeds for each seedling were treated with the appropriate herbicide, and at the end of the study period the height (in cm) was recorded for each seedling. The following results were obtained:
If W, the Wilcoxon rank sum test statistic, is the sum of the ranks assigned to group Herbicide A, then W is equal to
A. 19.0.B. 36.0.C. 36.5.
2. Reading highway signs is not always easy, especially if your vision is imperfect. Vision in general tends to deteriorate with age. Two researchers conducted a study to determine if the distance at which a standard highway sign could be recognized changed with age. They investigated how much age affects the distance at which a standard sign is recognized. Three groups of 5 volunteer subjects were selected. Ages in group 1 ranged from 19-35, in group 2 from 37-59, and in group 3 from 61-76. All subjects had at least a high-school education and were active, licensed drivers in good health. Participants all met minimum vision requirements. Signs were shown to the subjects on a video monitor set up to imitate the way a person would see the signs while driving a car in daylight hours. Sign size increased in small increments until the subject was able to describe the sign satisfactorily. The smallest size at which the sign could be clearly described was called the "threshold." To see if the threshold sizes were systematically higher for some age groups than others, the data were ranked and the value of the Kruskal-Wallis statistic H = 7.1 was obtained. Using the chi-square approximation, the P-value for the test is
A. between 0.025 and 0.050.B. between 0.050 and 0.100.C. greater than 0.100.
A survey of college students collected information on several variables: Distance from Home, Age, Major, Gender, and Class. The variable Major is
The sample mean of the number of spots on the 6000 rolls, should be about If this die is rolled 6000 times, the number of times we get a 2 or a 3 should be about
where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
The Wilcoxon signed rank test is computed for the data and gives a value W + = 161.5. Using the Normal approximation (without the continuity correction) the P-value.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
A random sample of students is selected, and each one is asked to try first brand A and then brand B, or vice versa with the order determined at random.
what is the chance the average contents of the cans will be less than advertised and what will be the standard deviation of the number of men who help at home, based on the first survey
She is interested in testing the null hypothesis that the mean SAT score is the same for each type of schooling using the one-way ANOVA. Some summary statistics for the three groups are given below, followed by the one-way ANOVA table.
A researcher measures a response variable Y and explanatory variable X on each of several objects. A scatterplot of the measurements is as follows.
What is the equation for this regression model?
There were 25 subjects included in each of the combinations of gender and smoking status. One of the variables measured was the heart rate after six minutes of exercise. A two-way ANOVA is performed with the resulting ANOVA table given below
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