Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy storechain asked this question. Some data collected by the chain are summarized in the table below.The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of fourcategories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). Thenumbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expectedfrequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value foreach of the season categories.(fo-fr)²JEPart 1(Observed frequency - Expected frequency)²Expected frequencyFill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round yourresponses to three or more decimal places.(fo-fE)²JEAa ObservedfrequencyfoExpectedfrequencySE2(Jo-Jp)²FEWinter Spring424645.000 0.022Summer5445.001.800Fall Total38 180

Given data is as follows: Observed Frequency, Fo Winter 42 Spring 46 Summer 54 Fall 38…

Answered: Are birthdays "evenly distributed"…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

An article about the California lattery 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 artide 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 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval Op
A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 37 46 59 83 225 No 213 204 191 167 775 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…
Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to…
The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1079 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. High school Bachelor's 258 40.9 101.8 263 41.8 97.5 270 42.2 94.4 Graduate 288 43.0 98.7 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F= Variation within the samples For the data from…
The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…
A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 49 59 61 84 253 No 201 191 189 166 747 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…
Foxbees magazine published data on the best small firms in 2012. These publicly traded firms have a stock price of at least $5 per share and have reported annual revenue between $5 million and $1 billion. The data below shows the ages of the corporate CEOS for a random sample of these firms. 49 67 59 48 45 49 39 44 37 38 48 38 43 48 62 74 70 58 58 40 74 35 36 54 38 45 54 55 64 75 69 36 55 72 69 60 40 64 39 59 74 52 40 49 38 38 74 50 55 50 R vector Copy to clipboard a) What is the mean of the sample? (Round to 4 decimal places) b) What is the standard deviation of the sample mean or the standard error? (Round to 4 decimal places) c) What is the sample size? (Round to whole number)
Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 130 employee absences. The distribution of these 130 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 130 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.
Moving to another question will save this response. Question 5 Obtain the five-number summary for the given data. The test scores of 15 students are listed below. 42 45 50 53 57 61 67 68 75 76 85 87 90 94 95 O 42, 53, 71.5, 87, 95 42, 52.25, 71.5, 85.5, 95 O 42, 53, 68, 87, 95 O 42, 52.25, 68, 85.5, 95 A Moving to another question will save this response. earch F2 DII F3 F4 F5 PrtS 5 W
An educational psychologist is interested in whether using a child’s own name in a story affected attention span while reading. Six children were randomly assigned to read a story under ordinary conditions (using common and generic names). Five other children read versions of the same story, but with each child’s ownname substituted for one of the children in the story. The researcher measured the amount of time (in minutes) each child spent reading the story. The results are shown in the following table. Does including the child’s namemake any difference in attention span? Test the hypothesis at an alpha set to .05, following these steps: a) write the null and alternative hypotheses; b) determine the critical value(s); c) draw the comparison distribution with rejection region(s) shaded; d)use the correct formula to compute the test statistic; e) state the statistical decision; f) state a brief conclusion.
Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 110 employee absences. The distribution of these 110 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 110 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (fo-fE) (Observedrequency Expectedrequency JE Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. 2 Round your responses to three or more decimal places. (SO-SE)² SE Send data…
Each year, researchers at the U.S. Bureau of Labor Statistics (BLS) administer the American Time Use Survey (ATUS). Researchers estimate the average amount of time Americans spend on daily activities, such as working, housework, and leisure activities. In particular, one activity that is of interest is the average amount of time Americans spend watching television each day.A researcher complied a random sample of 16 Americans and asked each person how much time they spent watching television each day. The results are given below. 1.9 2.3 3.9 4.4 3.2 1.5 1.2 4.4 0.9 4 0.6 3.9 4.5 1.9 1.8 3.7 Determine the point estimate, x¯ and the sample standard deviation, s. Round the solutions to four decimal places, if necessary.x¯=s=Using a 95% confidence level, determine the margin of error, EE, and a confidence interval for the average time Americans spend watching television each day. Report the confidence interval using interval notation. Round solutions to two decimal places, if…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS