The figure below shows the histogram of the numeric frequency distribution for shoppers' ages 12+ 9. 6. Number of Shoppers 3 20 -< 30 - < 40 -< 50 -< 60 - < 70 Age intervals (n years) How many shoppers are between 20 and 29 years of age? shoppers 2 4 shoppers 3 6 shoppers 4 8 shoppers
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- Fingerprint analysis and blood grouping are features that do not change through the lifetime of an individual. Fingerprint features appear early in the development of a fetus, and blood types are determined by genetics. Therefore, each is considered an effective tool for identification of individuals. These characteristics are also of interest in the discipline of biological anthropology—a scientific discipline concerned with the biological and behavioral aspects of human beings. The relationship between these characteristics was the subject of a study conducted by biological anthropologists with a simple random sample of male students from a certain region with a large student population. Fingerprint patterns are generally classified as loops, whorls, and arches. The four principal blood types are designated as A, B, AB, and O. The table shows the distribution of fingerprint patterns and blood types for the sample. Expected counts are listed in parentheses. The anthropologists…Fingerprint analysis and blood grouping are features that do not change through the lifetime of an individual. Fingerprint features appear early in the development of a fetus, and blood types are determined by genetics. Therefore, each is considered an effective tool for identification of individuals. These characteristics are also of interest in the discipline of biological anthropology—a scientific discipline concerned with the biological and behavioral aspects of human beings. The relationship between these characteristics was the subject of a study conducted by biological anthropologists with a simple random sample of male students from a certain region with a large student population. Fingerprint patterns are generally classified as loops, whorls, and arches. The four principal blood types are designated as A, B, AB, and O. The table shows the distribution of fingerprint patterns and blood types for the sample. Expected counts are listed in parentheses. The anthropologists…The first, second, and third quartile of age at diagnosis of breast cancer among Asian Americans are 42 years, 54 years, and 62 years, respectively. Suppose age at diagnosis of breast cancer has a normal distribution in the population of Asian Americans. The mode of the age at diagnosis of breast cancer among Asian Americans is _____
- 1)After training, six workers underwent a test and later measured the productivity of each of them. From the re- results presented in the table beside, calculate the correlation coefficient between the test score and the productivity.That animal species produce more offspring when their supply of food goes up isn’t surprising. That some animals appear able to anticipate unusual food abundance is more surprising. Red squirrels eat seeds from pine cones, a food source that occasionally has very large crops (called seed masting). What is striking is that the offspring are conceived in the spring, before the cones mature in the fall to feed the new young squirrels through the winter. Here are data on an index of the abundance of pine cones and average number of offspring per female over 16 years: Pine Index x 0 2.02 0.25 3.22 4.68 0.31 3.37 3.09 2.44 4.81 1.88 0.31 1.61 1.88 0.91 1.04 Offspring y 1.49 1.1 1.29 2.71 4.07 1.29 3.36 2.41 1.97 3.41 1.49 2.02 3.34 2.41 2.15 2.12 (a) Describe the relation between the variable x (Pine index) and the variable y (offspring) using the correlation factor r. Explain what r tells us about the relation. (b) Find the expected y value for a year when the Pine…a. Correlation coefficient between hoursspend on using mobile per day and hours spend on readingbooks per day.
- A researcher is interested in seeing what effect a particular type of drug has on an intelligence test, depending on the time of day that the pill is administered. The researcher computes a two-way ANOVA and plots the resulting cell means on the graph at right. Assuming that any obvious differences are statistically significant Is there a main effect for type of pill? Is there a main effect for time of day? Is there an interaction? 4. Describe the findings of the study in everyday termsWater availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram b) What is the probability that x is less than 2.7 grams?Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram. a) What is the approximate sampling distribution of x , the mean water loss of the 34 lizards
- The article “Statistical Modeling of the Time Courseof Tantrum Anger” (Annals of Applied Stats, 2009:1013–1034) discussed how anger intensity in children’s tantrums could be related to tantrumduration as well as behavioral indicators such asshouting, stamping, and pushing or pulling. The followingfrequency distribution was given (and alsothe cor responding histogram):02,2 : 136 22,4: 92 42,11: 71112,20: 26 202,30: 7 302,40: 3Draw the histogram and then comment on any interestingfeatures.Aortic stenosis refers to a narrowing of the aortic valvein the heart. The article “Correlation Analysis ofStenotic Aortic Valve Flow Patterns Using PhaseContrast MRI” (Annals of Biomed. Engr., 2005:878–887) gave the following data on aortic root diameter(cm) and gender for a sample of patients having variousdegrees of aortic stenosis:M: 3.7 3.4 3.7 4.0 3.9 3.8 3.4 3.6 3.1 4.0 3.4 3.8 3.5F: 3.8 2.6 3.2 3.0 4.3 3.5 3.1 3.1 3.2 3.0a. Compare and contrast the diameter observations forthe two genders.b. Calculate a 10% trimmed mean for each of the twosamples, and compare to other measures of center(for the male sample, the interpolation method mentionedin Section 1.3 must be used).Define correlation coefficient and probable error?