An agronomist is interested in comparing the efficacy of two fumigants (A and B) and a control (O) in eliminating wireworms. A field is divided into 4 sections, each section containing 3 plots. Fumigant A, B and O were randomly assigned to one plot within each section. The number of wireworms that remained on each plot after application of fumigant was recorded. Give a possible RCBD layout for the experiment.
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An agronomist is interested in comparing the efficacy of two fumigants (A and B) and a control (O) in eliminating wireworms. A field is divided into 4 sections, each section containing 3 plots. Fumigant A, B and O were randomly assigned to one plot within each section. The number of wireworms that remained on each plot after application of fumigant was recorded.
Give a possible RCBD layout for the experiment.
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- An agronomist is interested in comparing the efficacy of two fumigants (A and B) and a control (O) in eliminating wireworms. A field is divided into 4 sections, each section containing 3 plots. Fumigant A, B and O were randomly assigned to one plot within each section. The number of wireworms that remained on each plot after application of fumigant was recorded. Discuss the result of the post-hoc analysis.A study conducted by researchers was designed "to determine if application of duct tape is as effective as cryotherapy in the treatment of common warts." The researchers randomly divided 6969 patients into two groups. The 3535 patients in group 1 had their warts treated by applying duct tape. The 3434 patients in group 2 had their warts treated by cryotherapy. Once the treatments were complete, it was determined that 6969% of the patients in group 1 and 8585% of the patients in group 2 had complete resolution of their warts. The researchers concluded that cryotherapycryotherapy is significantly more effective in treating warts than duct tapeduct tape. Complete parts (a) through (d) below.(a) What is the research objective? A.To determine if duct tape is as effective as cryotherapy in the treatment of warts B.To determine if cryotherapy is as effective as duct tape in the treatment of warts C.To determine if cryotherapy is effective in the treatment of warts D.To determine if…Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices. So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles. To test for independence, we need to calculate the Chi-square statistic. These are the data that Dr. Pagels collected ( the attachment): You will want to use Excel (or Google sheets) to do the calculations for you, so that your answers are exact (they need to be exact to get credit. Here is a Google sheet to get you started. When transferring your answers, make sure you carry them out to AT LEAST SIX SIGNIFICANT FIGURES unless otherwise stated. Round your final answer to 4 decimal…
- Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To determine if the highway has disturbed deer migration to the winter feeding area, the following data were gathered on a random sample of 10 wilderness districts in the winter feeding area. Row B represents the average January deer count for a 5-year period before the highway was built, and row A represents the average January deer count for a 5-year period after the highway was built. The highway department claims that the January population has not changed. Test this claim against the claim that the January population has dropped. Use a 5% level of significance. Units used in the table are hundreds of deer. (Let d = B − A.) Wilderness District 1 2 3 4 5 6 7 8 9 10 B: Before highway 10.1 7.2 12.9 5.6 17.4 9.9 20.5 16.2 18.9 11.6 A: After highway 9.3 8.4 10.2 4.1 4.0 7.1 15.2 8.3 12.2 7.3 What…An ornithologist thinks that injections of follicle-stimulating hormone (FSH) increase the singing rate of his captive male cotingas (birds). To test this hypothesis, he randomly selects 20 singing cotingas and divides them into two groups of 10 birds each. The first group receives injections of FSH and the second gets injections of saline solution, as a control for the trauma of receiving an injection. He then records the singing rate (in songs per hour) for both groups. The results are given in the following table. Note that two of the FSH birds escaped during injection and were not replaced. a.) What is the alternative hypothesis? Use a directional alternative hypothesis. b.) What is the null hypothesis? c.) Using the Mann-Whitney U test and alpha=0.05tail what is your conclusion?
- An agriculturalist on a farm conducted a study to investigate whether ladybugs are effective in reducing damagecause by moths to the fruit of avocado trees. The agriculturalist randomly sampled 66 avocado trees from the farmand paired them based on size. One tree from each pair was randomly assigned to a greenhouse with ladybugs, andthe other tree in the pair was assigned to a green house without ladybugs. After one month, the number of damagedavocado fruit on each tree was recorded. All other variables were held constant over the one-month period. Thedifference in the number of damaged avocado fruit per tree pair (without ladybugs minus with ladybugs) wascalculated for each of the 33 pairs and is shown in the stem plot below. Difference in Number of Damaged Avocado Fruit Per Avocado Tree Pair-3 0 5 8 9-2 3 7 7 8-1 1 3 4-0 90 0 0 5 8 91 0 2 7 92 6 63 2 2 4 44 2 3 4 55 0 2 Key: = 52 Damaged Avocado Fruit a) Explain what a positive difference indicates in the context of the study. b)…Researchers investigated whether elementary school students from families in need would choose healthier lunch options if offered. A random sample of students receiving free-and-reduced lunch at five different Connecticut elementary schools were offered a choice between 2 lunch options. One was a typical school lunch prepared off and warmed on campus, while the other was a healthier school lunch made on campus from a variety of fruits, vegetables, and lean protein. For each child, researchers kept track of whether or not the child selected the healthier option. The research question was whether of not the healthier option would be selected less than the typical school lunch. More specifically, we will investigate whether the sample data provide strong evidence that the heather lunch is picked less than 50% of the time? The researchers found in their sample of 294 students that 134 picked the healthier option. The value of the sample proportion who selected the candy is therefore…A researcher has access to 100 participants for an independent sample design study, and she is hoping to achieve power = .80.What effect size will her data need to achieve to make that possible?
- A laboratory has two large format printers installed. During the installation, the manufacturer has stated that the capacity of the printer is to print 20 maps of A4 size in an hour. Owing to various factors such as different students working on the printers, raw materials etc., there is a variation in the number of prints produced per hour. A researcher has taken a random sample of prints produced in 10 hours for printer 1 and 13 hours for printer 2, respectively. The following data gives the number of prints produced on a sampled hour by the two printers:Printer 1 18 19 19 18 17 19 18 19 18 19Printer 2 16 17 17 17 16 18 16 16 17 17 16 16 17Can the researcher ascertain that the variance is from the same population (i.e., population variances are equal)? Consider α = 0.05 as the significance level.An agriculturalist on a farm conducted a study to investigate whether ladybugs are effective in reducing damage caused by moths to the fruit of avocado trees. The agriculturalist randomly sampled 66 avocado trees from the farm and paired them based on size. One tree from each pair was randomly assigned to a greenhouse with ladybugs, and the other tree in the pair was assigned to a greenhouse without ladybugs. After one month, the number of damaged avocado fruit on each tree was recorded. All other variables were held constant over the one month period. The difference in the number of damaged avocado fruit per tree pair (without ladybugs minus with ladybugs) was calculated for each of the 33 pairs and is shown in the stemplot. Consider a scenario in which 5 tree pairs are randomly selected one at a time, with replacement, from the sample of 33 tree pairs. Let the random variable T represent the number of tree pairs out of the 5 selected with a positive difference in number of damaged…In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance for the number who favor the measure.