Suppose you are a manager for a local clothing store. You want to introduce a new product for an upcoming holiday. You design 6 new products, and take a sample of 21 customers per product design, to determine if any of the products provide a different value to consumers through a rating system. Your one-way ANOVA test reveals a SSTotal of 16976, along with a sum of squares between treatments (SST) of 1321. Using this information, conduct the appropriate one- way ANOVA test, with a significance level of 10%, to determine if any of the products provide a significantly different value to consumers (significantly different average rating). Select the correct results of your analysis, and if necessary, round your answer to two decimal places. Select all choices that apply
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- A geneticist working on peas has a single plant monohybrid Y/y (yellow) plant and, from a self of this plant,wants to produce a plant of genotype y/y to use as a tester. How many progeny plants need to be grown to be 95percent sure of obtaining at least one in the sample?A consulting firm was hired to conduct a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly-selected people in different boroughs. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results. Item A in the description of the data collection instrument lists variables 1 through 5, which represent the respondent’s general attitude toward each of the five boroughs. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement. Determine the point estimate, and then construct the 95% confidence interval for μ1= the average attitude toward Manhattan. Repeat part (a) for μ2 through μ5, the average attitudes…A doctor claims that less than 30% of all persons exposed to a certain amount of radiation will feel any ill effects.If in a random sample only 1 of 19 persons exposed to such radiation felt any ill effects,test Ho:p=0.30 against H1:p<0.30 at the 0.05 level of significance
- A lamp manufacturer company tests the two new models of LED spotlights for commercial use, trying to decide between 2 models.At the moment the useful life tests are carried out as shown in the table.Perform a two-factor LSD discrimination process with an error of 5%An employee claims that 20% of the email she receives is personal, 60% is work related, and 20% is spam. The high level of spam she is receiving is frustrating, so she creates some new filters. She then selects a random sample of 50 emails over the next several weeks. She determines that she received 10 personal emails, 38 work-related emails, and 2 spam emails. She would like to know if the distribution of emails she receives has changed. What is the value of the chi-square test statistic and P-valueSuppose that 73.2% of all adults with type 2 diabetes also suffer from hypertension. After developing a new drug to treat type 2 diabetes, a team of researchers at a pharmaceutical company wanted to know if their drug had any impact on the incidence of hypertension for diabetics who took their drug. The researchers selected a random sample of 1000 participants who had been taking their drug as part of a recent large-scale clinical trial and found that 718 suffered from hypertension. The researchers want to use a one‑sample ?z‑test for a population proportion to see if the proportion of type 2 diabetics who have hypertension while taking their new drug, ?p, is different from the proportion of all type 2 diabetics who have hypertension. They decide to use a significance level of ?=0.01α=0.01. Determine the value of the ?z‑test statistic. Give your answer precise to two decimal places. Determine the ?-valueP-value for this test. Give your answer precise to three decimal places.
- Suppose a research study uses two independent groups with 21 individuals in each group. If a t-test analysis produces a calculated value of t of 1.68, which of the following is the correct decision?A. At the .05 level of significance, reject the null hypothesisB. At the .01 level of significance, reject the null hypothesisC. At the .05 level of significance, fail to reject the null hypothesisD. Impossible to answer without additional informationA 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…Suppose that in a study of 35 million HPV shots examined, the shots were followed in time by 14,000 serious ailments and 32 confirmed deaths. However, suppose in examining a randomly selected control group of 35 million non-vaccinated people of the same age at a particular time A, 0.0413% developed a serious ailment soon after time A, and 0.000089% died soon after time A. What does the comparison of two groups tell us? What are the percentages in the vaccinated group (serious ailments and confirmed deaths), and how to they compare to the nonvaccinated group? Hint: compute the percentages for serious ailments (14,000/35,000,000) and confirmed deaths (32/35,000,000) for the vaccinated group. Compare with the control group. Notice % above. (0,0413% and 0.000089%) Answer here. What can we conclude with high probability, if this comparison between vaccinated and non-vaccinated groups was done many times with the same basic results? Answer here. Can we absolutely rule out that the…
- In many colleges, educators are changing their approach to instruction from a “teacher/lecture-centeredmodel” to a “student-centered model” where students learn in a laboratory environment in which lectureis deemphasized and students can proceed at a pace suitable to their learning needs. In once schoolwhere this model was being introduced, of the 743 students who enrolled in the traditional lecture model, 364 passed; of the 567 in the student-centered model, 335 passed. Use a 0.05 level ofsignificance to test the claim that student-centered model results in a higher pass rate than the traditionalmodel?Suppose that in manufacturing a very sensitive electronic component, a company and its customers have tolerated a 2% defective rate. Recently, however, several customers have been complaining that there seem to be more defectives than in the past. Given that the company has made recent modifications to its manufacturing process, it is wondering if in fact the defective rate has increased from 2%. For quality assurance purposes, you decide to randomly select 1,000 of these electronic components before they are shipped to customers. Of the 1,000 components, you find 25 that are defective. Assume that the company produces a very large number of these components on any given day. Set up an appropriate hypothesis to test whether or not the defect rate has increased. Before proceeding to test your hypothesis, check that all assumptions and conditions are satisfied for such a test. Conduct the test using a .05 level of significance (alpha) and state your decision about…Suppose that in manufacturing a very sensitive electronic component, a company and its customers have tolerated a 2% defective rate. Recently, however, several customers have been complaining that there seem to be more defectives than in the past. Given that the company has made recent modifications to its manufacturing process, it is wondering if in fact the defective rate has increased from 2%. For quality assurance purposes, you decide to randomly select 1,000 of these electronic components before they are shipped to customers. Of the 1,000 components, you find 25 that are defective. Assume that the company produces a very large number of these components on any given day. Conduct the test using a .05 level of significance (alpha) and state your decision about whether or not you believe that the defect rate has increased. What would be the minimum number of defectives in a random sample of 1,000 would you need to find in order to statistically decide that the defect…