The 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 66.3 68,9 35.2 25.1 32.5 54.0 42.4 77.5 123.2 66.3 92.7 5619 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 SALT (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.) 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 u, 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 (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 interval indicates that this crime rate is below the average population crime rate.

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…

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…

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…

Use the following sample to estimate a population mean µ. 11.7 6.6 22.6 41.4 26.9 -0.7 30.2 -7.9 -1.1 20.8 13.3 46.5 -13.4 30.2 6.2 17.3 19 13.1 9.7 17.7 1.7 26.1 2.1 57.8 40.3 46.4 9.4 7.5 11.3 -5.8 1.3 -0.5 12.1 19.2 15.6 25.4 24.4 50.7 0.4 6.8 24.2 24.8 24.5 Download CSV Find the 99% confidence interval about the population mean. Enter your answer as a tri-linear inequality accurate to two decimal place. < µ< N327 -43 4

ndependent random samples of professional football and basketball players gave the following information. Heights (in ft) of pro football players: x1; n1 = 45 6.31 6.51 6.50 6.25 6.50 6.33 6.25 6.17 6.42 6.33 6.42 6.58 6.08 6.58 6.50 6.42 6.25 6.67 5.91 6.00 5.83 6.00 5.83 5.08 6.75 5.83 6.17 5.75 6.00 5.75 6.50 5.83 5.91 5.67 6.00 6.08 6.17 6.58 6.50 6.25 6.33 5.25 6.65 6.50 5.85 Heights (in ft) of pro basketball players: x2; n2 = 40 6.09 6.56 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25 6.00 6.92 6.84 6.58 6.41 6.67 6.67 5.75 6.25 6.25 6.50 6.00 6.92 6.25 6.42 6.58 6.58 6.08 6.75 6.50 6.83 6.08 6.92 6.00 6.33 6.50 6.58 6.85 6.50 6.58   (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1 =   s1 =   x2 =   s2 =   (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 90% confidence interval for μ1 – μ2. (Round your answers to…

12. The age of random sample of 40 people who attended a show at the fox. Theater are given below. Find the first, second, and third Quartile 20 26 31 34 39 45 50 62 20 29 31 35 40 47 51 63 23 30 32 35 40 49 51 66 23 30 33 37 40 49 54 69 26 30 34 38 42 49 57 72

How many hours per week do gamers play video games? A simple random sample of 44 U.S. gamers age 13 or older are given below. 8.7 6.3 8.5 6.6 6.8 7.1 8.9 12.7 7 5.8 8 10.3 8.4 11.2 7.9 10.7 10.2 7.2 6.6 6.3 7.1 8.3 9.4 8.5 10.2 10.5 5.3 9.8 9.4 10.2 10.8 9.4 7.8 10.8 8.9 8.2 7.4 6.7 8.4 9.7 6.6 8.3 10.1 7.8 a.) Find a 92% confidence level for the population average time per week a gamer 13 or older plays video games. (Round answers to two decimal place.) margin of error:  ?  hr/wklower limit:  ?  hr/wkupper limit:  ?  hr/wk Interpret: We are (?)% confident that the population mean time per week a gamer 13 or older plays video games is between(?)  hours and (?) hour .

Consider the sample of 65 customer satisfaction ratings given in the table (below).    39 46 42 40 45 44 44 44 45 45 44 46 46 46 41 46 46   38 40 40 41 43 38 48 39   42 39 47 43 47 43 44 41   42 40 44 39 43 36 41 44   41 42 43 43 41 44 45 42   38 45 45 46 40 44 44 47   42 44 45 45 43 45 44 43            Click here for the Excel Data File    Carry out a chi-square goodness-of-fit test of normality for the population of all customer satisfaction ratings using α = .05. Recall that we previously calculated x⎯⎯x¯  = 42.95 and s = 2.6424 for the 65 ratings. Use the Empirical Rule to create the intervals. (Round your expected frequencies to 2 decimal places. Round your answer to 3 decimal places.)