Suppose that the number of major earthquakes occurring per month in a particular Mt. Kilimanjaro area is collected for 100 months and summarized in the table below: Number of earthquakes per month 0 1 2 3 4 Number of months 57 31 8 3 1 Test at a 5% level of significance whether the earthquakes occur randomly. Assume a Poisson distribution.

Suppose that the number of major earthquakes occurring per month in a particular Mt. Kilimanjaro area is collected for 100 months and summarized in the table below: Number of earthquakes per month 0 1 2 3 4 Number of months 57 31 8 3 1 Test at a 5% level of significance whether the earthquakes occur randomly. Assume a Poisson distribution.

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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A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 76 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents. 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 76 years? Use a 10% level of significance. What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) Find the P-value. (Round your answer to four decimal places.)
Chapter 5, Section 2, Exercise 043 Hearing Loss in TeenagersA recent study1 found that, of the 1771 participants aged 12 to 19 in the National Health and Nutrition Examination Survey, 19.5% had some hearing loss (defined as a loss of 15 decibels in at least one ear). This is a dramatic increase from a decade ago. The sample size is large enough to use the normal distribution, and a bootstrap distribution shows that the standard error for the proportion is SE=0.009.Find a 95% confidence interval for the proportion of teenagers with some hearing loss.Round your answers to two decimal places.The 95% confidence interval is to .
A) A sample of n=5 scores has a mean m=12. If one score with a value x=18 is added to the sample, what is the value for the new mean? B) Find the mean for the scores in the following frequency distribution table X F 9 1 8 1 7 3 6 4 5 1 4 0 The mean to two decimal places? C) A population of N=10 scores has a mean of mu =12, if one score with a value of X= 21 is removed from the popultion, then what is the value of the new population mean?
1. Given the data set: {3, 5, 6, 9, 4,7,4,2,3,9, 1, 3, 8} provide the following rounded to two decimal places if needed) The mean а) b) The median The mode c) The range _The midrange d) e The five number summary f) g) A box and whisker plot: draw below using the provided number line for scale. 3 6 10 1 2 4 7 89 h) Is this data set skewed_yes - positive/right, yes - negative/left or no - symmetric (circle one) _The standard deviation (O i) j) Most of the data in the set above are between - 6 and u6. Calculate these values and verify this statement based on the set above. k) According Chebyshev's Theorem, what fraction of the set lie within 2 standard deviations of the mean? Verify this based on the set above
When the nature of population from which samples is drawn is not known to be normally distributed the data can be analysed with the help of a. Parametric statistics b. Descriptive statistics c. Non-parametric statistics d. None of the above
1. Give an examle of a paired date set 2. Why is the chi-square distribution always positive?
Average monthly wages (per employee) in 4 sectors of an economy are as follows: industry: 2000 dinars, building: 2200 dinars, agriculture: 1500 dinars, services: 1800 dinars. Number of people employed in the four sectors are 5 million, 2 million, 6 million, and 2 million, respectively. Using the concept of harmonic mean compute the average monthly wages in the economy under consideration.
Q.2 A random sample of marks scored by students during Mid Semester Exam are as follows. 12, 15, 18, 11, 16, 14, 9, 17, 18, 19, 11, 12, 15, 18, 11, 16, 14, 9, 17, 18, 19, 11, 12, 15, 18, 11, 16, 14, 9, a) Construct a table that gives the frequency distribution of this data. b) Construct a table that gives the relative frequency distribution of this data. c) Construct a frequency histogram of this data. d) Construct a relative frequency histogram of this data. e) Find the sample mean for this data set. ) Find the median of this data set. g) Find the mode of this data set. h) Find the sample standard deviation of this data set. i) Construct an ogive curve of this data.
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 24 days and a standard deviation of 6 days. 80% of all trials of this type are completed within how many days?
1. A group of 500 volunteers recorded an average age of 21.5 years and standard deviation of 9.6 years. Assumed the distribution is normally distributed. d) If 2.5% of the volunteers are older than Shirley how old is she? e) Between what ages is the middle 40% of the volunteers?
Students at a school took a 35-point exam. Below is a random sample of exam scores. 25 35 22 19 25 31 21 27 10 22 a) Create a grouped frequency distribution with a class width of 6. Include a title, class limits, class boundaries, and midpoints b) Again using the grouped frequency distribution, find the mean and standard deviation of the data. How do these values compare to the mean and standard deviation for the original data?