What is normal?
Can you think of where you see the normal distribution in your day to day life? Suppose we collect data on the height of all of us in this class. What would the graph look like? Would it be bell-shaped?
The normal distribution is vital to statistical analysis, being fully defined by the mean and standard deviation. All normal curves have the same general shape. 68% of the total area under the curve is from +1 to -1 standard deviation (according to the Empirical Rule). Would 68% of us be within one standard deviation? How many would we need for a sample size to be considered normal?
The distribution of marks of the students in class is normal distribution.
For the data of height, the graph is bell shaped because at the middle average height is more frequent and on the both side it will be decreasing.
Yes, 68% of us would be within one standard deviation.
Minimum 30 sample size is needed to be considered normal because any distribution for sample size more than 30 tends to normal.
What is normal? Can you think of where you see the normal distribution in your day...
In your bid to be elected class representative, you have your election committee survey five randomly chosen students in your class and ask them to rank you on a scale of 0-10. Your rankings are 1, 2, 4, 0, 8. (a) Find the sample mean and standard deviation. (Round your answers to two decimal places.) HINT [See Example 1.] sample mean standard deviation (b) Assuming the sample mean and the standard deviation is indicative of the class as a whole,...
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 43 and a standard deviation of 7. Using the empirical (68-95-99.7) rule, what is the approximate percentage of daily phone calls numbering between 29 and 57. Enter your answer as a percent, but do not enter the percent symbol. do not enter in decimal form( for example, enter 93.8 for 93.8% not...
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 56 and a standard deviation of 9. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 47 and 65?
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 53 and a standard deviation of 11. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 31 and 75? Can you explain this for me too please
19. Assume that pulse rates of men follow a bell-shaped (normal) distribution with a mean of 74 beats per minute and a standard deviation of 12 beats per minute. a. Based upon the Empirical Rule, give an interval that contains about 95% of all such pulse rates. this has to be solved using excel functions (new versions)
Describe the standard normal distribution. What are its characteristics? Choose the correct answer below. O A. The standard normal distribution is a normal probability distribution with mean u = 0 and standard deviation o = 1. Similar to any normal probability distribution, it has associated with it a bell-shaped curve, symmetric about a vertical line through u with inflection points at o and -o. The Z-scores theorem, along with a table of areas under this standard normal curve can be...
The Normal Distribution, also called the Gaussian Distribution, is a representation of the distribution of many different types of data, especially when considering large amounts of data. Some examples of data that are normally distributed are IQ scores, heights, blood pressure measurements and GPAs. The empirical rule, along with the Normal Distribution provides information about the data that is easy to calculate. Follow this link to understand the empirical rule and see an example regarding IQ scores: http://cfcc.edu/faculty/cmoore/Empirical_Rule.htm For Discussion...
The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution with a mean of $67,000 and a standard deviation of $12,000. According to the empirical rule, the percentage of MBA degree holders working in Los Angeles who have an annual income of $55,000 to $79,000 is approximately A. 89% B. 68% C. 64% D. 86%
The Empirical Rule Based on Data Set 1" Body Data" in appendix B, blood platelet counts of women have a bell shaped distribution with a mean of 255.1 and a standard deviation of 65.4.(All units are 1000 cells/L.) Using the empirical rule: [Sketch the normal curve first] 1. idth ths 2 a. of women with platelet counts are within two standard deviation of the mean? The values are from ( b.- % of women with platelet counts are within one...
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 47 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 23 and 71?Please explain the answer broken down in detail