The sexes and ages of a random sample of 300 runners taking part in marathons are classified as follows in the table below.Table: Sexes and ages of runners taking part in marathons.SexObservedRow totalsMaleemaleUnder 407054124Age group40-49763611250 and over 521264Column totals198102300What is the expected frequency of a female runner between the ages 40-49?

Answered: The sexes and ages of a random sample…

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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A local bookstore arranges book counter in different schools around the year. The CEO says that, compare to last year, the number of orders received in school has been dropped this year. The table below shows the number of orders received in a random sample of 14 schools in this year and last year. School 1 3 4 6. 8. 9. 10 11 12 13 14 This year 85 35 96 45 33 52 67 77 45 67 43 76 80 65 Last year 92 38 93 81 42 50 61 89 56 63 49 65 92 81 Test, at 5% level of significance, is there sufficient evidence to conclude that the CEO's statement is correct. (The test report must include (i) null hypothesis and alternative hypothesis, (ii) rejection region, (iii) calculation of test statistics, and (iv) conclusion.)
The following table contains the first exam score and the second exam score for a random sample of 15 students in a large college class. 78 89 75 89.5 86 84 81 77 79 84.5 82.5 83.5 78.5 75.5 85 First exam score 83 82.5 71.5 86.5 79 81 71.5 84.5 Second exam score 78.5 84 71.5 85 72.5 72.5 78 5 -5.5 3.5 6.5 4.5 Difference (a) Find the value of the test statistic. (b) Find the critical value. (c) Decide whether to reject Ho (Choose one) 4 0 Yes ▼ I Don't Know At the 0.02 level of significance, can we conclude (by using the Wilcoxon signed-ranks test) that there is a difference between the populations of first and second exam scores for students in this class? Perform a test by completing the parts below. (If necessary, consult a table with critical values for the Wilcoxon signed ranks test.) 8.5 No 4.5 Submit 1 1.5 0 PRO 3 (d) At the 0.02 level, can we conclude that there is a difference between the populations of first and second exam scores for students in this class? 7 3 F6 X F7 2022…
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 Actor (years) 27 28 27 33 27 29 40 32 32 9 62 34 39 41 29 35 53 41 41 42 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, Hg is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd year(s) H1: Hd year(s) (Type integers or decimals. Do not round.) Identify…
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 sample of students involved in laboratory accidents was categorized by age. The results appear as: Find the median score
A research group is conducting an experiment to study the relationship between fitness levels and the number of hours spent exercising each week. Subjects are randomly selected and, after several fitness tests, are assigned a fitness score. The number of hours spent exercising per week is also recorded. Data for 15 subjects are given below. Subject Hours of Exercise per Week Fitness Score 1 1 3 2 1.5 4.7 3 1.75 6 4 2 5 5 2 6.5 6 4.5 14.2 7 2.5 13.5 8 3.25 15 9 3 13.4 10 3.75 14 11 3.5 10 12 4 10 13 2.5 12 14 5.25 14.5 15 5 15 Create a bar graph in MicrosoftÂ® ExcelÂ® using the data. Label the graph and include the source of the data. Construct an equation in two variables that models this relationship. This equation may be linear, polynomial, rational, square root, or variation? Is the equation an exact model or an approximate model of the relationship between the variables? Explain your reasoning. Use the equation to make a prediction of the likely value of the…
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The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 25 27 28 28 37 26 25 44 27 33 O Actor (years) 59 35 35 39 29 37 55 35 37 39 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Hdl year(s) H1: Hal (Type integers or decimals. Do not round.) year(s) Get more…
Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. If a patient is selected at random: What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight? Underweight Normal Weight Overweight Obese Row Totals Diabetic 8 34 65 43 150 Not Diabetic 12 85 93 40 230 Column Totals 20 119 158 83 380
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 30 Actor (years) 27 32 30 38 27 25 45 32 36 O 58 40 38 37 28 31 51 40 40 44 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, H. is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd year(s) H: Hd year(s) (Type integers or decimals. Do not round.)
The number of winter vacation days during one year taken by 159 randomly selected employees were recorded. The data is summarized in the table below. Number of Winter Vacation Days Frequency Cumulative Frequency 0 – 9 43 10 – 19 41 20 – 29 21 30 – 39 37 40 – 49 17
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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