A cafe serves brewed coffee in cups with a nominal capacity of 400 ml. As part of a statistical study, you find out that the actual amount of coffee served is uniformly distributed between369 ml and 398 ml.Being an accomplished statistician, you find that the the most likely exact amount of coffee you will get in your cup isdecimal number and rounded to 2 decimal places) ofto get an amount between 374 ml and 399 mlml, and that there is a probability (as

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Answered: A cafe serves brewed coffee in cups…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. This survey found that 32.8% of the households sampled owned a pet cat. Is this number a parameter or a statistic? Calculate the Z-score of this sample proportion (0.328).
People who get angry easily tend to have more heart disease. That is the conclusion of a study that followed a random sample of 12,986 people from three locations for about four years. All subjects were free of heart disease at the beginning of the study. The subjects took the Spielberger Trait Anger Scale test, which measures how prone a person is to sudden anger. Displayed are data for the 8474 people in the sample who had normal blood pressure. CHD stands for "coronary heart disease," which includes people who had heart attacks and those who needed medical treatment for heart disease. CHD No C HD Total Low an ger 53 3057 3110 Moderate anger 110 4621 4731 High a nger 27 Tota 1 633 190 606 8284 8474 O Macmillan Learning SOLVE: Give the value of the chi-square test statistic. Give your answer to at least two decimal places. x² = SOLVE: Give the number of degrees of freedom. df =
A survey is conducted to determine if there is a difference in the proportion of students, parents, and The conditions for inference are met. The chi-square test statistic is 0.19 and df = 2. What is the appropriate decision using a = 0.05? teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table. Find the chi-square table here. Because the P-value is less than a = 0.05, the null hypothesis should be rejected. Student Parent Teacher Because the P-value is less than a = 0.05, the null hypothesis should not be rejected. Yes 24 12 Volunteer? No 21 13 Because the P-value is greater than a = 0.05, the null hypothesis should be rejected. The researcher would like to test these hypotheses: Because the P-value is greater than a = 0.05, the null hypothesis should not be rejected. Họ: There is no difference in the distribution of responses among these three…
A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10 free throws on a standard basketball court and records the number of shots made by each participant (X). She also has these same participants run an obstacle course and records their time (Y). She wants to statistically evaluate if variables X and Y are related. She computes the sum of squared deviations for X, the sum of squared deviations for Y, and the sum of cross products between X and Y. SUM (x-x)² 3.24 7.84 1.44 10.24 0.04 0.64 3.24 1.44 0.04 0.64 28.8 Which of the following statements summarizes the results of the statistical analysis best? O There is a weak association between X and Y. O There is no association between X and Y. O Increase in X is associated with an increase in Y. There is a strong association between X and Y. (Y-Y)² 15.21 0.81 16.81 4.41 9.61 8.41 15.21 0.01 4.41 3.61 78.5 (X-X) (Y-Y) -7.02 -2.52 -4.92 -6.72 -0.62 -2.32 -7.02 -0.12 -0.42 -1.52 - 33.2
A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10 free throws on a standard basketball court and records the number of shots made by each participant (X). She also has these same participants run an obstacle course and records their time (Y). She wants to statistically evaluate if variables X and Y are related. She computes the sum of squared deviations for X, the sum of squared deviations for Y, and the sum of cross products between X and Y. SUM Pearson's correlation between variables X and Y is: O3.205 O-.698 O-.015 -. 309 (x-x)² 3.24 7.84 1.44 10.24 0.04 0.64 3.24 1.44 0.04 0.64 28.8 (Y-Y)² 15.21 0.81 16.81 4.41 9.61 8.41 15.21 0.01 4.41 3.61 78.5 (X-X) (Y-Y) -7.02 -2.52 -4.92 -6.72 -0.62 -2.32 -7.02 -0.12 -0.42 -1.52 - 33.2
Suppose that the average salary of health systems professionals is normally distributed with µ=KES 40,000 and σ = KES 10,000. What proportion of professionals will earn KES 24,800 or less? What proportion of professionals will earn KES 53,500 or more? What proportion of professionals will earn between KES 45,000 and KES 57,000? Calculate the 80th percentile. Calculate the 27th percentile
Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in kilometer/liter) was measured. Data are shown below. Assume gas economy for both types of tires are normally distributed. Do the data provide enough evidence to show that radical tires produce higher gas economy? What's the difference between population means for gas economy? Gas eco (radial) 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Gas eco (belted) 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 What is the 90% confidence interval? Round to 4 decimal places if necessary.
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…
A quality control engineer at Shell visits 80 gas stations and collects a fuel sample from each. She measures the sulphur content in the gas and sorts the samples into 4 different batches. She finds: 19 samples with less than 180 ppm sulphur, 20 samples with between 180 and 230 ppm, 23 samples with between 230 and 280 ppm, and 18 samples with more than 280 ppm. Does the sulphur content of gas follow a normal distribution with a mean of 230 ppm and a standard deviation of 50 ppm at the 5% significance level
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. The table contains data for beak heat loss, as a percentage of total body heat loss from all sources, at various temperatures in degrees Celsius. The data show that beak heat loss is higher at higher temperatures and that the relationship is roughly linear. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (°C) 15 16 17 18 19 20 21 22 23 24 25 26 27 Percent heat loss from beak 33 33 33 31 37 44 56 52 45 54 46 55 57
The average speeds of cars on a highway are distributed according to a normal distribution. Today, John is on his way to work. As he enters the highway, he notices a car speeding by at 150 km/hr. Ten seconds later, another car speeds by at 160 km/hr. John concludes that today, cars must be going faster for some reason. A few minutes later, John gets into a minor accident. Once again, he concludes that it was inevitable - he got into the accident because cars were driving faster today. Explain what fallacies - if any-are involved in both of John's claims. Is John justified in his conclusions?
a survey is conducted to compare the proportions of men and women whoaccess their bank statements online. Denoting the population propotions by Pm and Pw, a two-proportion z-test is carried out to test Ho: pm = pw against Ha: pm > pw. The values of the test statistic is found to be z = 0.784, and the p-value for the test is found to be 0.216. Which of the following is the correct interpretation of the p-value? a) given that ha is true, the probability of getting a value of z at least as large as 0.784 is 0.216. b) given that ho is true, the probability of getting a value of z at least as large as 0.784 is 0.216. c) given the results of the survey, the probability that Pm > Pw is 0.216. d) given the results of the survey, the probability that Pm = Pw is 0.216. e) none of the above

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