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- 1. To understand the cooking and diet patterns of Americans, a research company surveyed 12,340 American adults (age 18 and older) during the year 2014 and asked about a variety of factors including age, gender, yearly income (in US $), and the number of hours spent cooking each week. Answer the following questions regarding the context of the survey: a. WHO is being measured? (What is the sample?) b. WHAT is being measured? (What are the variables?) For each variable, identify whether it is quantitative or categorical.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…10) The following table shows the sample subjects cross-classified by gender and the type of violent victimization reported. Can we conclude on the basis of these data that victimization status and gender are not independent? Let a =0.01. Gender Women Men Total No victimization 611 308 919 Partner 42 20 62 Non-partner 16 17 33 Total 669 345 1014
- 1. Explain the difference between z-tests (which use categorical data), and t-tests (which use numerical data). 2. Conduct a t-test, both when given statistics, and when given data. 3. Conduct a t-test, 2-sample t-test, and paired t-test. 4. Differentiate between the five types of tests we have learned so far.a) Based on the histogram above, what is the class width? b) What is the sample size? Frequency 5.0- 4.0- 3.0- 2.0- 1.0- .0 20 30 40 50 60 Age 70 80 90 100Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 12 16 33 13 28 2 15 19 5 38 15 19 17 8 40 36 15 22 14 19 14 Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.)What are the degrees of freedom? (numerator) (denominator) (f) Make a summary table for your ANOVA test.…
- what is the population of this studyA) We have just conducted a study examining how much math anxiety students experience after taking a statistics class. We want to know if students on average are reporting low (1) or high (7) levels of math anxiety. To do that, we want to compare the math anxiety levels of the students after they have taken a statistics course to the average population math anxiety. We believe that the students on average will have a level of math anxiety that differs from the population. X 3 4 4 5 5 3 1 3 5 6 7 2 2 3 2 3 2 3 1 3 Report our null and alternative hypotheses in words. Given the information we have, what specific t-test do we need to run in order to examine our hypothesis? Provided are the ratings from the students that we recruited (see left), the mean and standard deviation for that sample (see below), and the population average (see below): xbar =3.35, Meu=4.00 and SD=1.60…"Which of the following best describes a sample in statistics? A) The entire group of individuals or instances about whom we hope to learn B) A subset of the population used to represent the entire group C) The variable being measured in a study D) The procedure used to collect data"
- Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 14 17 32 13 27 2 23 20 6 38 14 11 19 1. 44 33 18 29 16 10 17 Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 10% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H1 = H2 = H3 = H4i H1: Exactly three means are equal. O H.: H1 = H2 = H3 = Hại H,: Not all the means are equal. O H,: H1 = H2 = H3 = Ha; H;: All four means are different. O H.: H1 = H2 = H3 = Hại H: Exactly two means are equal. (b) Find SSTOT SSBET, and SSw and check that SSTOT = SS BET + sSw. (Use 3 decimal places.) SSTOT= SSBET = SSw=l Find d.f. BET, d.f. w, MSBET, and MSw. (Use 3 decimal…4) What do you infer from the odds ratio about the relationship between smoking and lung cancer?Hospitals In a study of births in New York State, data were collected from four hospitals coded as follows: (1) Albany Medical Center; (1438) Bellevue Hospital Center; (66) Olean General Hospital; (413) Strong Memorial Hospital. Does it make sense to calculate the average (mean) of the numbers 1, 1438, 66, and 413?