The following data represent crime rates per 1000 population for a random sample of 46 Denver neighborhoods:```63.2, 36.3, 26.2, 53.2, 65.3, 32.0, 65.066.3, 68.9, 35.2, 25.1, 32.5, 54.0, 42.477.5, 123.2, 66.3, 92.7, 56.9, 77.1, 27.569.2, 73.8, 71.5, 58.5, 67.2, 78.6, 33.274.9, 45.1, 132.1, 104.7, 63.2, 59.6, 75.739.2, 69.9, 87.5, 56.0, 154.2, 85.5, 77.584.7, 24.2, 37.5, 41.1```(a) Use a calculator with mean and sample standard deviation keys to find the sample mean \( \bar{x} \) and sample standard deviation \( s \). (Round your answers to four decimal places.)\( \bar{x} = \) ______ crimes per 1000 people\( s = \) ______ crimes per 1000 people(b) Let us say the preceding data are representative of the population crime rates in Denver neighborhoods. Compute an 80% confidence interval for \( \mu \), the population mean crime rate for all Denver neighborhoods. (Round your answers to one decimal place.)Lower limit: ______ crimes per 1000 peopleUpper limit: ______ crimes per 1000 people(c) Suppose you are advising the police department about police patrol assignments. One neighborhood has a crime rate of 60 crimes per 1000 population. Do you think that this rate is below the average population crime rate and that fewer patrols could safely be assigned to this neighborhood? Use the confidence interval to justify your answer.- Yes. The confidence interval indicates that this crime rate is below the average population crime rate.- Yes. The confidence interval indicates that this crime rate does not differ from the average population crime rate.- No. The ### Confidence Intervals and Crime Rate Analysis#### (d) Crime Rate Evaluation for a NeighborhoodA neighborhood has a reported crime rate of 76 crimes per 1000 population. To evaluate whether this crime rate is significantly higher than the population average, consider using a confidence interval:- Yes. The confidence interval indicates this crime rate does not differ from the average population crime rate.- Yes. The confidence interval indicates this crime rate is higher than the average population crime rate.- No. The confidence interval indicates this crime rate is higher than the average population crime rate.- No. The confidence interval indicates this crime rate does not differ from the average population crime rate.#### (e) Calculating a 95% Confidence IntervalFor the population mean crime rate (\(\mu\)) for all Denver neighborhoods, calculate the 95% confidence interval:- **Lower limit:** \( \text{crimes per 1000 people} \)- **Upper limit:** \( \text{crimes per 1000 people} \)#### (f) Advising on Police Patrol AssignmentsWhen a neighborhood shows a crime rate of 60 crimes per 1000 population, assess whether this rate is below the average population crime rate and consider adjusting patrol assignments:- Yes. The confidence interval indicates this crime rate is below the average population crime rate.- Yes. The confidence interval indicates this crime rate does not differ from the average population crime rate.- No. The confidence interval indicates this crime rate is below the average population crime rate.- No. The confidence interval indicates this crime rate does not differ from the average population crime rate.#### (g) Addressing High Crime RatesAnother neighborhood reports 76 crimes per 1000 population. Assess if this rate exceeds the population average and if additional patrols are warranted:- Yes. The confidence interval indicates this crime rate does not differ from the average population crime rate.- Yes. The confidence interval indicates this crime rate is higher than the average population crime rate.- No. The confidence interval indicates this crime rate is higher than the average population crime rate.- No. The confidence interval indicates this crime rate does not differ from the average population crime rate.#### (h) Distribution AssumptionsEvaluate the necessity of assuming a normal distribution. Refer to the central limit theorem for guidance:- Yes. According to the central limit theorem, when \( n \geq 30 \), the \( \bar{x

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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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Here is a sample data set. 335.4 336.2 348.8 352.9 353.9 361.7 368.4 373.8 380.7 389.1 389.6 389.9 393.5 396.1 396.5 400.7 402.0 403.4 403.6 404.1 404.1 404.9 408.6 409.3 409.9 410.4 413.9 414.3 419.4 428.9 431.2 432.1 442.4 442.4 442.4 442.8 485.1 489.0 489.2 489.8 491.8 362.7 367.4 368.1 386.1 386.1 386.1 388.0 Frequency = = 448.1 450.1 459.5 470.8 485.1 .8 493.1 = 20 = 15 Find the minimum for this data set. min 10 5 Find the first quartile for this data set. Q₁ max = 300 350 400 450 500 length (cm) Find the median for this data set. Mdn Find the third quartile for this data set. Q3 Find the maximum for this data set.
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The following data set is composed of incidence rates of Kaposi’s sarcoma in 20 different regions of Tanzania. Reported in cases/million/year. 6.1, 6.6, 6.4, 6.6, 6.6, 7.6, 8.4, 8.5, 6.2, 7.6, 8.0, 7.3, 8.4, 6.6, 5.2, 6.2, 6.5, 5.8, 6.0, 6.1 Let μ be the true incident rate of Kaposi’s sarcoma in Tanzania is cases/million/year. If the true incident rate of Kaposi’s sarcoma in the United States is 6 cases/million/year based on a nationwide surveillance in 2014. Test whether the rate of Kaposi’s sarcoma in Tanzania is different from the United States at the 0.05 significance level. Be sure to state the null and alternative hypothesis. Carry out the appropriate hypothesis test by hand (you can also use SAS) and report the test statistic and the p-value and your conclusion in the context of the problem. What assumptions do we need for the validity of this hypothesis test?
The following data represent crime rates per 1000 population for a random sample of 46 Denver neighborhoods.† 63.2 36.3 26.2 53.2 65.3 32.0 65.0 66.3 68.9 35.2 25.1 32.5 54.0 42.4 77.5 123.2 66.3 92.7 56.9 77.1 27.5 69.2 73.8 71.5 58.5 67.2 78.6 33.2 74.9 45.1 132.1 104.7 63.2 59.6 75.7 39.2 69.9 87.5 56.0 154.2 85.5 77.5 84.7 24.2 37.5 41.1 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to four decimal places.) x = ________ crimes per 1000 people s = _______crimes per 1000 people (b)Compute a 95% confidence interval for ?, the population mean crime rate for all Denver neighborhoods. (Round your answers to one decimal place.) lower limit _________crimes per 1000 people upper limit _________crimes per 1000 people
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…
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
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1. Sample data about the listing price of a house is collected from Surrey, Guilford area in 2022 and the data is given below. Using the data answer the following questions: N 1 2 3 4 5 Listing Price 1049900 11 1229000 1049900 12 1230000 1050000 13 1075000 14 1298999 1299000 1299000 1075000 15 16 1398000 1078800 1179000 17 18 1398000 1399000 1188000 1188000 19 1449900 1225000 20 1450000 a. What is the mean listing price of a home? b. Generate appropriate numerical summaries for the listing price of a home, the sample standard deviation, etc. 6 7 8 9 10 Listing Price N Listing Price 21 1450000 22 1450000 23 1469900 24 1475000 25 1475000 26 1480000 1499000 27 28 1499000 29 1499233 30 1499900 N C. Use these summaries to develop a 95% confidence interval to estimate the mean listing price of a house in your selected city. That is, you will be using the sampling data you collected to estimate the population parameter (listing price). Make sure to show both your calculations and a final…
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ne following data represent crime rates per 1000 population for a random sample of 46 Denver neighborhoods.t 63.2 36.3 26.2 53.2 65.3 32.0 65.0 54.0 42.4 56.9 77.1 27.5 78.6 33.2 59.6 75.7 68.9 77.5 123.2 66.3 35.2 25.1 32.5 66.3 92.7 69.2 73.8 71.5 58.5 67.2 74.9 45.1 132.1 104.7 63.2 56.0 154.2 85.5 39.2 69.9 87.5 フ7.5 84.7 24.2 37.5 41.1 S USE SALT (a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviatic crimes per 1000 people crimes per 1000 people (b) Let us say the preceding data are representative of the population crime rates in Denver neighborhoods. Compute an 80% rate for all Denver neighborhoods. (Round your answers to one decimal place.) lower limit crimes per 1000 people upper limit crimes per 1000 people (c) Suppose you are advising the police department about police patrol assignments. One neighborhood has a crime rate of 56 rate is below the average population crime rate and that fewer patrols could safely…
Consider the following random sample of diameter measurements (in inches) of 20 softballs. 4.7, 4.76, 4.77, 4.9, 4.73, 4.7, 4.87, 4.87, 4.75, 4.78, 4.73, 4.75, 4.9, 4.9, 4.74, 4.72, 4.73, 4.72, 4.8, 4.83 Send data to calculator If we assume that the diameter measurements are normally distributed, find a 99% confidence interval for the mean diameter of a softball. Give the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X Ś

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