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- Twenty patients sampled at random were matched by age and BMI. One of each pair was assigned at random to a new treatment and the other to an existing treatment. Ultrasound examination of a certain tumourtwdght (in grams) produced the following results. 12.5 6.5 10.5 8. 9.9 10.5 Existing Treatment 15.5 5. 8.5 10.6 8.4 10 New Treatment 14 5.7 11.5 10 7 7.5 8. To answer the following questions, report the numerical computations to four decimal places. (a) Test whether there is a difference in the two treatments at 5% level of significance. (b) Find a 90% confidence interval for the mean difference in the treatments. (c) What would be the conclusion in (a) if we had wrongly ignored the pairing?Assume that the following data came from a case-control study. CasesControlsExposed4050Unexposed60150Based on this table, what proportion of exposed cases would have been eliminated if the cases had not been exposed (assuming that the exposure does contribute to the disease). 50% 100% 0% 33.3%.Data for gas mileage (in mpg) for different vehicles was entered into a software package and part of the ANOVA table is shown below: Source DF SS MS Vehicle 5 420 210.00 Error 66 321 4.86 Total 71 741 If a LSRL was fit to this data, what would the value of the coefficient of determination be?
- A random sample of 50 plants was selected from a field containing one-year-old plants of a variety of guayule, a plant species yielding rubber. Of the 50, 25 were classified as Normal (N), 14 were classified as Off-type (O) and 11 as Aberrant (A). The data on the following page show the percentage rubber content from each plant. Normal Off-type Aberrant 6.34 6.40 5.70 4.84 5.01 6.20 4.25 8.90 6.93 6.38 6.68 7.10 6.42 7.26 7.29 6.30 7.01 6-84 7.12 6.83 7.31 7.25 6.86 6.68 5.82 4.46 7.70 5.90 5.24 5.58 6.36 7.10 6.81 7.32 6.48 5.88 5.24 5.51 7.00 6.42 6.20 6.04 5.58 4.72 7.42 7-27 6.43 6-10 6-01 7.90 (a) Test the null hypothesis that there is no difference in mean rubber content between the three types of plant. (b) If the means of the distributions of each type of plant are denoted by N, PO and PA respectively, test the following particular null hypotheses: (i) EN = RA; (ii) Po=(PN + PA).This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Stone Tool Construction Material Material Site B Row Total Basalt 768 547 1315 Obsidian 101 94 195 Pedernal chert Other Column Total 536 499 1035 179 1496 1228 2724 (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Stone tool material and site are independent. H: Stone tool material and site are not independent. O Ho: Stone tool material and site are not independent. H: Stone tool material and site are independent. O Ho: Stone tool material and site are independent. H: Stone tool material and…Was the change in the College coefficient between 1992 and 1998 statistically significant at the 5% significance level? O A. Yes. O B. No.
- A study was conducted at a local college to analyze the average cumulative GPAs of students who graduated last year. In each of the following situations, identify the population, Statistic, Parameter, Variable, Data and the Sample. a) all students who attended the college last year b) the cumulative GPA of one student who graduated from the college last year c) 3.65, 2.80, 1.50, 3.90 d) a group of students who graduated from the college last year, randomly selected e) the average cumulative GPA of students who graduated from the college last year f) all students who graduated from the college last year g) the average cumulative GPA of students in the study who graduated from the college last yearThe General Social Survey (GSS) collects data on demographics, eduction and work, among many other characteristics of US residents. Suppose we want to estimate the difference between the average number of hours worked by all Americans with a college degree and those without a college degree. Is there sufficient evidence that there is a significant difference between the average number of hours worked by those Americans with a college degree vs. those Americans without a college degree? Use the following output: Welch Two Sample t-testdata: yes and not = 3.1181, df = 1098.5, p-value = 0.001867alternative hypothesis: true difference in means is not equal to 095 percent confidence interval: 1.011652 4.445822sample estimates:mean of x mean of y 42.81574 40.08701 Using the provided output, find the 95% confidence interval for the difference of the average amount of hours worked for those that have a college degree vs. those that do not have a college degree (ie: for the difference of two…Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site. Pond 1: 37.03, 37.45, 36.75, 37.54, 37.71, 37.02, 37.32 Pond 2: 38.89, 39.05, 38.51, 38.53, 38.71 Use a 2% significance level to test the claim that the two ponds have the same mean salinity value. Assume that nothing is known about the population distribution of salinities. (a) Enter the rank values in the same order as in the original sample. The rank values for Pond 1 are: The rank values for Pond 2 are: (b) The test statistic is: . (c) The test critical value is: . (d) The conclusion isA. There is not sufficient evidence to indicate that the two ponds have different distributions of salinity values.B. There is sufficient evidence to indicate that the two ponds have different distributions of salinity values.
- A clinical trial is conducted to compare a new pain re- liever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo, and the outcome is pain relief within 30 minutes. The data are shown in Table 7–8. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance. Pain Relief No Pain Relief New Medication 44 76 Placebo 21 99 How would I use excel with this?Listed below are the number of cricket chirps in 1 min and the corresponding temperatures in degrees Fahrenheit. Is there sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 min and the temperature? Use a significance level of α=0.05. Chirps in 1 min 1171 1105 1185 852 1089 950 917 862 Temperature (°F) 78.4 88.2 91.5 86.3 90.2 79.3 83.8 84.4 Determine the null and alternative hypotheses for this test. Find the value of the correlation coefficient. rs=enter your response here (Round to three decimal places as needed.) Determine the critical value(s) of the correlation coefficient. enter your response here (Round to three decimal places as needed. Use a comma to separate answers as needed.)Three brands of reducing pill were tried on a sample of 8 female adults. The data are given on the following table in terms of weight loss in pounds. Reducing Pll Used B Respondent A 4.5 3.2 3.0 2 4.1 3.0 2.8 3 3.6 38 3.2 4 53 3.9 3.6 4.8 4.2 3.5 27 3.1 3.5 43 4.0 29 3.8 3.3 36 Test the bypothesis that there is no signilicant difference in the average weight loss in pounds among the three groups of respondents using the three brands of reducing pills at 0.01 level