5.2.26. Bird songs can be characterized by the number ofclusters of "syllables" that are strung together in rapidsuccession. If the last cluster is defined as a "success,"it may be reasonable to treat the number of clusters ina song as a geometric random variable. Does the modelPx(k) (1 - p)k-1p, k 1, 2,..., adequately de-scribe the following distribution of two hundred fiftysong lengths (108)? Begin by finding the method of mo-ments estimate for p. Then calculate the set of "expected"frequencies.==No. of Clusters/Song Frequency|132234567 ∞52344975586250

Answered: Image /qna-images/answer/f52a616a-9490-4bd9-8a90-74658b71b1e7.jpg

Answered: 5.2.26. Bird songs can be characterized…

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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3. The following observed claim frequency data is collected over a period of 365 days by the XJTLU insurance company: Number of Claims per Day Observed Number of Days 0 50 122 101 1 2 3 4+ 92 0 As a junior data analyst in this company, you are asked to complete the following task by your manager: (a) Fit a Poisson distribution to the above data, using the method of maximum likelihood. (b) Group the data by number of claims per day into four groups: 1 2 3 3 or more Apply the chi-square goodness-of-fit test to evaluate the null hypothesis that the claims follow a Poisson distribution. Determine the result of the chi-square test.
the following data represent the tie betwee eruption (in seconds) for a random sample of 15 eruptions at the old faithful geyser in california. is there reason to believe the time between eruptions is normally distributed? provide the graph 678 708 708 714 716 719 722 723 726 728 730 735 735 736 736
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,8,8,4,7,7,10,6,8,10,12,11,9,15,11,16,12,9,12,18,19,15,11,15,19,20,9,23,21,23 Shortboard: 6,4,4,6,7,7,8,9,4,7,8,5,9,7,4,15,11,10,13,12,11,14,9,11,12,16,9,20,22,11 Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: PL=Ps O B. Ho: HL Hs O F. Ho: HL> Hs Ha: HL # Hs Ha: HL = Hs Find the test statistic for this test. t= (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the conclusion for this…
An article about the California lottery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The article also gave information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? The data strong evidence to conclude…
When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a 1 1 population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ ▼ ▼ Probability (Type integers or simplified fractions.)
. List the 10 possible samples (without replacement) of size 2 that can be obtained from the population of five officials. Lieutenant Governor (L) Secretary of State (S) Attorney General (A) Representative (R) Press Secretary (P) b. If a simple random sampling procedure is used to obtain a sample of two officials, what are the chances that it is the first sample on your list in part (a)? the secondsample? the tenth sample?
Each of the boxplots shown summarizes 24 student scores on a recent test in two different classes. The boxplots are drawn using a common numerical scale. Which of the following must be true? 1. The lower 25% of Class B are much more spread out than the lower 25% of Class A 2. More people scored below the lower quartile for Class A than Class B 3. The distribution for Class B is skewed left and has a noticeable outlier as well, while the distribution for Class A is somewhat skewed right 4.Class A had more people between the median and the lower quartile than Class B. 3.The distribution for Class A is somewhat symmetric, while the distribution for Class B is skewed right with a noticeable outlier as well
2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.
An article regarding interracial dating and marriage recently appeared in a newspaper. Of the 1718 randomly selected adults, 308 identified themselves as Latinos, 322 identified themselves as blacks, 253 identified themselves as Asians, and 778 identified themselves as whites. In this survey, 86% of blacks said that their families would welcome a white person into their families.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Which distribution should you use for this problem? (Round your answers to four decimal places.) P' ~ Construct a 95% confidence interval for the population proportion of blacks that would welcome a white person into their family. (i) State the confidence interval. (Round your answers to four decimal places.) , (ii) Sketch the graph. (iii) Calculate the error bound. (Round your answer to four decimal…
A group of AP Statistics students wanted to see if plain, peanut, and almond M&Ms have the same color distribution. To test this, students took a random sample of each type of M&M and classified the candies in the sample by color. They plan to carry out a chi-square test to decide if there is evidence that the color distributions are not the same for the three types of M&Ms. Red Blue Green Orange Brown Piain 20 18 15 10 14 12 Peanut 8 6 8 25 5 7 Almond 7 11 10 12 10 What is the expected count for green peanut M&Ms? А 25/47 (25x47)/47 (59x47)/59 (59x47)/207 В C D
2. A small internet mail-order company keeps track of the number of orders it fills per day for many years and determines that the distribution of the variable "orders filled per day" is right-skewed and has the following five-number summary: Qs - 63 Minimum - 20 0₁ - 32 Median - 46 Suppose we take random samples of size 40 from this distribution and calculate the range for each of our samples. Below is a dotplot of the range of 50 such samples. ******* 53 ****** 54 55 56 57 Sample range (a) There are two dots on the graph at 53. Explain what these values represent. ********** Maximum - 80 58 59 60 (b) Does the simulation provide evidence that the sample range is a biased estimator of the population range? Use the dotplot above to justify your answer.
Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____. a. 84 b. 87 c. 60 d. 20

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