14 38. The income distribution of officers of a certain company was found to follow normaldistribuiton. The average income of an officer was Rs. 15,000.00. The standard deviation of the income ofofficers was Rs. 5,000.00. If there were 242 officers drawing salary above Rs. 18,500.00, how many officerswere there in the company ?

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Answered: 14:38. The income distribution of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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9. The number of births per woman in China is 1.6 down from 5.91 in 1966. This fertility rate has been attributed to the law passed in 1979 restricting births to one per woman. Suppose that a group of students studied whether or not the standard deviation of births per woman was greater than 0.75. They asked 50 women across China the number of births they had had. The results are shown in the following table. Does the students’ survey indicate that the standard deviation is greater than 0.75? Use α = 0.01. # of Births Frequency 0 5 1 30 2 10 3 5
2. A statistic test has a mean of 78 and a standard deviation of 6. a) What is the z-score of a student who scored 89 on the test? b) What is the z-score of a student who scored 64 on the test? c) What is the z-score of a student who scored 78 on the test? d) What is the score of a student whose z-score is 1.24? e) What is the score of a student whose z-score is -.31? f) What is the score of a student whose z-score is -1? 3. For males in a certain towWn, the systolic blood pressure is normally distributed with a mean of 135 and a standard deviation of 8. a) What is the probability that a randomly selected male's systolic blood pressure will be greater than 143? b) What is the probability that a randomly selected male's systolic blood pressure will be less than 119?
For the statistics test scores the mean is 63 and the standard deviation is 7.0 and for the biology test scores the mean is 23 and the standard deviation is 3.9. a) A student who took both tests scored a 69 on the statistics test and a 26 on the biology test. Transform each test score to a standard z-score and determine on which test the student had a better score. b) If a student who took both tests has a standard z-score of a -1.67 on the statistics test and a 2.05 on the biology test, find the students actual test scores.
A city's mean minimum daily temperature in February is 25°F.Suppose the standard deviation of the minimum temperature in February is 3°F and that the distribution of minimum temperatures in February is approximately Normal. What percentage of days in February has minimum temperatures below freezing (32°F)? Round to the nearest integer as needed.
Suppose that you have a set of data that has a mean of 34 and a standard deviation of 6. a) Is the point 28 above, below, or the same as the mean. How many standard deviations is 28 from the mean. b) Is the point 46 above, below, or the same as the mean. How many standard deviations is 46 from the mean. c) Is the point 43 above, below, or the same as the mean. How many standard deviations is 43 from the mean. d) Is the point 20 above, below, or the same as the mean. How many standard deviations is 20 from the mean.
Q.4
A company decides to investigate the amount of sick leave taken by its employees. A sample of seven employees yields the following numbers of days of sick leave taken in the past year. 1 1 3 0 0 63 Use this information to answer parts a through c. a. Find and interpret the range. The range is 6 days. Choose the correct interpretation of the range below. A. The largest difference between the mean and any other value is equal to the range. B. The number of days separating the fewest and most sick days taken is equal to the range. C. The range represents the average distance of an observation from the mean. D. The range gives the most useful value for measuring the spread of the data.
The graph illustrates the distribution of test scores taken by College Aigebra students. The maximum possible score on the test was 140, while the mean score was 76 and the standard deviation was 14. 34 48 62 76 90 104 Distribution of Test Scores What is the approximate percentage of students who scored between 76 and 90 on the test? What is the approximate percentage of students who scored higher than 104 on the test? What is the appraximate percentage of students who scored higher than 118 on the test? What is the approximate percentage of students who scored between 48 and 104 on the test?
1. In a distribution of six scores, the deviations from the mean for five of the scores are +5, +3, +1, 0, and-3.What is the value of the deviation for the sixth score? 2. On the midterm exam in their anthropology course, Jan’s deviation score was +5, Kim’s was -12, andLeslie’s was 0.a) of these three, who did the best and who did the worst?b) the mean for the class was 80. What was the raw score for Jan, Kim, and Leslie?
Suppose that the mean systolic blood pressure for women over age seventy is 131 mmHg (millimeters of mercury), with a standard deviation of 9 mmHg. Suppose that the blood pressures are normally distributed. Complete the following statements. (a) Approximately? mmHg and 140 mmHg. of women over seventy have blood pressures between 122 (b) Approximately 95% of women over seventy have blood pressures between mmHg and mmHg.
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Can someone explain the formulas used in these type of questions and where each number belongs in the formula The average size of a farm in Texas is 185 acres. The average size of a farm in Kansas is 220 acres. Assume that the data were obtained from two samples with standard deviations of 40 and 15 acres, respectively, and a sample size of 10 and 12, respectively. Can it be concluded with a=0.05 that the average size of the farms in the two states is different? Assume that the population is normally distributed.

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