ContextGosset's Seed Plot DataWilliam S. Gosset was employed by the Guinness brewing company of Dublin. Sample sizes available for experimentation in brewing were necessarily small. At that time, Gosset contacted a famous statistician Karl Pearson (1857-1936) and was told that there were no techniques for developing probability models for small data sets. Gosset studied under Pearson, and the outcome of his study was perhaps the most famous paper in statistical literature, "The Probable Error of a Mean" (1908), which introduced the T-distribution.Since Gosset was employed by Guinness, any work he produced would be owned by Guinness, so he published under a pseudonym, "Student"; hence, the T-distribution is often referred to as Student's T-distribution.To illustrate his analysis, Gosset used the results of seeding 11 different plots of land with two different types of seed: regular and kiln-dried. He wanted to determine if drying seeds before planting increased plant yield. Since different plots of soil may be naturally more fertile, this confounding variable was eliminated by using the matched pairs design and planting both types of seed in all 11 plots.The resulting data (corn yield in pounds per acre) are as follows.PlotRegular seedKiln-dried Seed11903200921935191531910201142496246352108218061961192572060212281444148291612154210131614431115111535We use these data to test the hypothesis that kiln-dried seed yields more corn than regular seed.Because of the nature of the experimental design (matched pairs), we are testing the difference in yield.PlotRegular seedKiln-dried SeedDifference119032009–10621935191520319102011–10142496246333521082180–7261961192536720602122–62814441482–38916121542701013161443–1271115111535–24Note that the differences were calculated: regular − kiln-dried.VariablesRegular seed: regular seeds that were traditionally used for plantingkiln-dried: seed that were kiln-dried before plantingDataDownload the seed (Links to an external site.) data file, and then upload the file into StatCrunch. PromptState the hypotheses and define the parameter.Checking conditions: Since Gosset invented the T-distribution, we will assume that his sample meets the conditions and proceed with the T-test. Regardless, answer these questions to demonstrate your understanding of the conditions for use of the T-model.But first you will need to review the dotplots for the data (opens in a new tab). Which graph is used to check conditions? Why?What do we look for in the graph to verify that conditions are met?What else do we need to know about the sample of seeds before using the T-test?Use StatCrunch to find the T-score and the P-value. Hint: as you work through the StatCrunch directions, keep in mind that we want to calculate the differences as regular − kiln-dried . So you will choose Regular seed for Sample 1 and kiln-dried seed for Sample 2. (directions)Copy and paste the information in the StatCrunch output window into your initial post.State a conclusion based on the context of this scenario.

QUESTION 1Data Set 1-3For her research project, Susan gathered data from 76 students who filled out a questionnaire about exercise and GPA. From the exercise portion, students were classified as sedentary, moderate, or vigorous exercisers. GPA’s were expressed in the usual decimal form. In Data Set 1-3, the number of levels of the independent variable for Susan’s experiment wasa.2;b.3;c.4;d.none of the other alternatives; answer is ____e.76;1 points QUESTION 2Data Set 1-7In Blaine’s experiment participants tasted three different picante sauces and indicated their favorite. Everyone participated after supper on Monday or Tuesday. After the participants were classified as preferring hot, medium, or mild sauce, they filled out the White Risk Inventory, a measure that yields a score of 0 to 15 and indicates how likely a person is to engage in risky adventures. The number of levels of the independent variable in Data Set 1-7 isa.cannot be determined from the information given.b.15;c.2;d.3;1 points QUESTION 3Data Set 1-3For her research project, Susan gathered data from 76 students who filled out a questionnaire about exercise and GPA. From the exercise portion, students were classified as sedentary, moderate, or vigorous exercisers. GPA’s were expressed in the usual decimal form. The independent variable for Data Set 1-3 wasa.exercise classification.b.the number of students who filled out the questionnaire;c.GPA;d.kind of project;1 points QUESTION 4In an experiment on the effect of sleep on memory, the independent variable might bea.recall score on a testb.gender of the experimenterc.number of hours of sleepd.gender of the subjects1 points QUESTION 5Your text said that the end point of analyzing a data set isa.a feeling of satisfactionb.a story that explains relationshipsc.a quantitative home based.a foundation for future research1 points QUESTION 6Epistemology deals with the nature ofa.none of the other alternatives are correctb.philosophyc.knowledged.psychology1 points QUESTION 7Data Set 1-7In Blaine’s experiment participants tasted three different picante sauces and indicated their favorite. Everyone participated after supper on Monday or Tuesday. After the participants were classified as preferring hot, medium, or mild sauce, they filled out the White Risk Inventory, a measure that yields a score of 0 to 15 and indicates how likely a person is to engage in risky adventures. The dependent variable in Blaine’s experiment (Data Set 1-7) isa.number of people who participated.b.score on the White Risk Inventory;c.day of the week they participated;d.choice of picante sauce;1 points QUESTION 8You never have a lower and an upper limit for a(n)a.categorical variableb.score on the ratio scalec.dependent variabled.IQ score1 points QUESTION 9A story that explains relationships is, according to your text,a.the categorical counterpart to a quantitative analysisb.the best hypothesis to use as a starting pointc.the end point of analyzing a data setd.a hindrance to an objective analysis of a data set1 points QUESTION 10Which of the following is not one of the four categories of statisticians described by Kirk?a.computer experts who use computers to find statistics answersb.those who are able to understand material that is presented statisticallyc.mathematical statisticians who develop new techniquesd.professional statisticians who help others1 points QUESTION 11Removing the extreme scores from both tails of the distribution before calculating a central tendency statistics produces aa.truncated meanb.re-tooled meanc.trimmed meand.two-tailed mean1 points QUESTION 12In which situation would the mean be an appropriate measure of central tendency?a.None of the other alternatives are correctb.Most of the scores are near the minimum, a few are in the middle range, and there are almost none near the maximumc.The data categories in the soil analysis are: 0-2 ppm, 3-5 ppm, 6-8 ppm, 9-11 ppm, and over 11 ppmd.We have frequency data on cows, horses, mules, and goats1 points QUESTION 13Data Set 3-1 A student was interested in the structure of the families in the U.S. He sampled 29 of his 330 classmates asking the question, “How many children are there in your family?” He compiled the answers into a simple frequency distribution: C ¦ 7 1 5 2 4 3 3 6 2 10 1 7 Refer to Data Set 3-1. The mode isa.7b.8c.10d.21 points QUESTION 14Which of the following was not listed as a requirement for a fairly complete understanding of a distribution?a.Normalityb.Central tendencyc.Formd.Variability1 points QUESTION 15The median of 4, 3, 4, 2, 3, 4, 4, isa.4.5b.3.5c.none of the other alternatives are correct; the answer is _________d.31 points QUESTION 16The mean temperature for January was 30 °F. In February the mean was 25 °F and for March the mean was 35°F. The weighted mean for these three months isa.30°Fb.less than 30°Fc.greater than 30°F1 points QUESTION 17Usually, a frequency distribution with a mean of 100 and a median of 90 isa.negatively skewedb.positively skewedc.symmetricald.cannot be determined without knowing the mode1 points QUESTION 18The situation that prompts the calculation of a weighted mean is thata.the distribution is severely skewedb.the scale of measurement is not specifiedc.the distribution has humps in both tailsd.several samples have different N’s1 points QUESTION 19Which of the following was not listed as a requirement for a fairly complete understanding of a distribution?a.Variabilityb.Densityc.Formd.Central tendency1 points QUESTION 20For a negatively skewed curve, the usual case with continuous data is thata.low scores are more frequent than high scores and the median is greater than the meanb.low scores are more frequent than high scores and the mean is greater than the medianc.high scores are more frequent than low scores and the mean is greater than the mediand.high scores are more frequent than low scores and the median is greater than the mean1 points Click Save and Submit to save and submit. Click Save All Answers to save all answers.