Factorial experiments… A. Include two or more dependent variables B. Focus on unmeasured factors C. Include two or more independent variables D. Focus on organismic factors
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- c. Perform the Tukey's post hoc analysis comparing levels of copper content. No need to interpret for all levels. Does the level, which gives the lowest warping on average in part b, providing a lower warping than other levels significantly? (If yes, this is the level of copper content we should recommend.)A researcher is investigating the effects of three different fertilizers (A, B, and C) on the growth of tomato plants. The height of the plants (in inches) is measured after one month using a sample of four plants for each fertilizer: Fertilizer A: [12, 14, 15, 13] Fertilizer B: [16, 17, 15, 18] Fertilizer C: [10, 11, 12, 9] Perform a one-way ANOVA to determine if there is a significant difference in the mean height of the tomato plants among the three fertilizers at a 5% significance level. Show all stepsAn ambulance service responds to emergency calls for two counties in Virginia. One county is an urban county and the other is a rural county. A sample of 470 ambulance calls over the past two years showed the county and the day of the week for each emergency calI. Data are as follows. Do not round intermediate calculations. Day of Week County Sun Mon Tue Wed Thu Fri Sat Urban 59 49 50 57 62 75 41 Rural 5 12 15 10 11 11 13 Test for independence of the county and the day of the week. Using a = 0.05 level of significance, what is the p-value? Compute the value of the x test statistic (to 3 decimals). Do not round you intermediate calculation. Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? V - Select your answer - The assumption of independence cannot be rejected Reject the assumption of independence
- Consider the following scenario and answer the questions below: The ornithologist decided to investigate the effect of temperature on the migration of North American birds. Develop a hypothesis in the appropriate format. Identify the independent variable. Identify the dependent variable. Plan an investigation (what would she do to collect data?). Did she engage in basic science or applied science? Explain. Did she engage in inductive or deductive reasoning? ExplainHuman blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.The following table gives the percent of a certain country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively. Blood Types A+ A− B+ B− AB+ AB− O+ O− Percent 35.7 6.3 9.5 2.5 3.4 0.8 37.2 4.6 (a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh+?(b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen?(c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh−?Select the type of study most appropriate to the question: Researchers wish to study the effects on weight of feeding by formula versus breast milk. One of the factors to be studied is the body weight of the children at two years of age. What kind of study would be most appropriate?A) Observational B) ExperimentalC) Double-blind study D) Blinded experimental
- The contingency table below shows the blood types of a sample of patients cross classified by gender. How many women with blood type AB would you expect if there was no association between these two variables? A AB Total Female 42 55 11 4 112 Male Total 55 43 16 120 97 98 27 10 232 O 5.2 O 10 O 4.8 4.3. A study was carried out into how social media use may affect peoples level of fitness. A random sample of subjects were classified by how much time they reported spending on social media, ranging from none to Frequent, and an assessment of their fitness. The results are shown in the following table. None Occasional Some Use Frequent Unfit 23 25 16 19 Fit 27 26 23 23 Very Fit 26 23 18 8 Answer the following questions. (a) Show the calculations that must be done for any two cells when calculating the sample value of the test statistic Q shown here. ? (Oi − Ei)2Q = E = 5.90. ii (b) Carry out an appropriate statistical test to determine whether there is a link between level of social media use and fitness.David E. Brown is an expert in wildlife conservation. In his book The Wolf in the Southwest: The Making of an Endangered Species (University of Arizona Press), he records the following weights of adult grey wolves from two regions in Old Mexico. Chihuahua region: x1 variable in pounds 86 75 91 70 79 80 68 71 74 64 Durango region: x2 variable in pounds 68 72 79 68 77 89 62 55 68 68 59 63 66 58 54 71 59 67 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Use 2 decimal places.) x1 s1 x2 s2 (b) Let μ1 be the mean weight of the population of all grey wolves in the Chihuahua region. Let μ2 be the mean weight of the population of all grey wolves in the Durango region. Find a 99% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit upper limit
- Information on the type of industry is provided for a sample of 50 Fortune 500 companies. Industry Type Frequency Banking 5 Consumer Products 13 Electronics 10 Retail 22 The number of industries that are classified as retail is _____. a. 22 b. 44% c. 0.44 d. 28 2) Information on the type of industry is provided for a sample of 50 Fortune 500 companies. Industry Type Frequency Banking 5 Consumer Products 12 Electronics 8 Retail 25 The relative frequency of industries that are classified as banking is _____. a. 0.50 b. 5 c. 0.05 d. 101. A study was conducted to investigate the effects of three factors on the fragmentation of an explosive device. The factors of interest are pipe diameter, a restraint material and the air gap between the device and the restraint material. Two repeat tests were conducted on each combination of the factor levels. The data are shown below. (a) (b) (c) Air gap (C) Factors A (in.) B C (in.) Material (B) 0.50 in. 0.75 in. Factor levels Low 0.75 Sand 0.50 Sand 57.6 57.9 61.8 61.3 0.75 in. High 1.75 Earth 0.75 Pipe Diameter (A) Earth 63.2 63.5 65.8 63.5 Sand 69.5 69.2 68.1 69.0 1.75 in. Earth 69.9 62.0 55.3 59.8 Suppose that in the data above, we had confounded ABC in replicate I and AB in replicate II. Give the name of this design? Outline the design mentioned in (a). Analyze the data and infer your conclusion.In a US presidential election, the incumbent president wins with 51.5% of the vote to 48.2% for the primary challenger (and .3% to others). In a nationwide telephone poll of 1000 people conducted exactly one week before the election by a university polling group, 49% of people polled supported the incumbent president, 50% supported the challenger, and 1% supported other candidates. a. For the polling study, what was the population of interest? b. What was the sample? c. Why did the sample results differ from the population? d. What are two constants that might have limited the generalizability of the polling results?