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 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…
A researcher took a random sample of 200 new mothers in the United States (Group 1) and found that 16% of them experienced some form of postpartum depression. Another random sample of 200 new mothers in France (Group 2), where mothers receive 16 weeks of paid maternity leave, found that 11% experienced some form of postpartum depression. Can it be concluded that the percent of women in the United States experience more postpartum depression than the percent of women in France? Use α=0.05. Select the correct alternative hypothesis and decision
How do the average weekly incomes of electricians and carpenters compare? A random sample of 17 regions in the United States gave the following information about average weekly income (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.) Region 1 2 3 4 5 6 7 8 9 Electricians 464 715 597 464 736 694 744 571 806 Carpenters 542 813 513 476 688 503 789 653 474 Region 10 11 12 13 14 15 16 17 Electricians 592 594 702 579 868 598 597 654 Carpenters 489 647 676 384 817 605 556 505 Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 5% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (c) Find the P-value of the sample test statistic.
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.)
Is there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people. Frequencies of Hair Colors for Various Body Types Blonde Brunette Red Head 71 80 96 108 55 115 46 91 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the o= 0.01 significance level? 53 74 69 63
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) 27 31 29 31 34 23 28 37 33 31 D Actor (years) 67 41 36 42 26 35 46 40 37 39 Họ: Ha year(s) H7: Ha v (Type integers or decimals. Do not round.) year(s) Identify the test statistic. t = (Round to two decimal places as needed.) Identify the P-value, P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is V the significance level, V the null hypothesis. There sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the…

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