An experiment was conducted to compare the performance of two potato peelers, and inparticular to discover whether the typical user might be able to peel potatoes faster with onerather than the other. Ten volunteers were used, and each was given both peelers for a periodbefore the experiment in order to gain familiarity with them. In the experiment the volunteersubjects used both peelers on standardised amounts of potatoes, and then repeated theexperiment with the peelers used in the opposite order, so as to eliminate any effect due toordering. The table below gives, for each subject, the mean of the natural logarithms of time(in seconds) needed to complete the tasks.PeelerSubjectAв2:332-3422-76 2-791.912-6231.9142-6052.012-031.771-801-812.001-8181.9991.971.98102.262-30Use Student's t-test, at the 5% level of significance, to test whether the peelers differ in theirefficiency.

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Answered: An experiment was conducted to compare…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, a group of students from a large psychology class were given questions to be answered while studying for the final exam. The overall average for the exam was m = 73.4 but the n = 16 students who answered questions had a mean of M =78.3 with a standard deviation of s = 8.4. Use a two-tailed test with a = .01 to determine whether answering ques- tions while studying produced significantly higher exam scores.
In a 2009 study, a team of researchers recruited 38 men and divided them randomly into two groups - treatment or control. The also recruited 38 women and they randomly placed half the participants into the treatment group and the other half into the control group. One group was given 25 grams of chia seeds twice a day, and the other was given a placebo. The subjects volunteered to be a part of the study. After 12 weeks, the scientists found no significant difference between the groups in appetite or weight loss. Which of the following is true. (i) This is an observational study (ii) Blinding is used in this study because subjects in the control group recieved a placebo, so that htey were blinded to the treatment they recieved. (iii) We can safely generalize the conclusion (that chia seeds have no significant effect on appetite or weight loss) from the participants to the population at large because randomization is used when assigning participatns to groups.
Barry has several Christmas Cactus houseplants. He heard a rumor that they will bloom better if they are put in a dark room from October to November. What experiment could Barry design to test his hypothesis?
A study was performed to test the effectiveness of a new treatment for migraines. There were 125 patients in the study. Of these, 60 were randomly assigned to receive the standard treatment and 65 to receive the new treatment. All were instructed to take the medication at the onset of their next migraine and to notice if the pain of their migraine felt reduced after half an hour. Fifty patients receiving the new treatment reported reduced pain, compared with only 40 of the patients receiving the standard treatment. The results seem to favor the new treatment, but could the difference just be due to chance? In this problem, consider the null hypothesis that the percentage of patients with a reduction in pain is the same between the two treatments, versus the alternative hypothesis that the percentages are different. (a) Under the null hypothesis, the difference in the sample percentages is expected to be ___%. The standard error for the difference is estimated to be ___%. (b) Calculate…
Strack, Martin, and Stepper (1988) reported that people rate cartoons as funnier when holding a pen in their teeth (which forced them to smile) than when holding a pen in their lips (which forced them to frown). A researcher attempted to replicate this result using a sample of n = 25 adults between the ages 40 and 45. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained by frowning. On average, the cartoons were rated funnier when the participants were smiling, with an average difference of M D = 1.6 with SS = 150. In this problem, you do not have to calculate SS or the mean difference which is already provided. Do the data indicate that the cartoons are rated significantly funnier when the participants are smiling? Use a one-tailed test with α = .05 Please answer the question using all of the steps: null in word, alternative in words, null in symbols, alternative in symbols, critical region t, df, all steps in…
Strack, Martin, and Stepper (1988) reported that people rate cartoons as funnier when holding a pen in their teeth (which forced them to smile) than when holding a pen in their lips (which forced them to frown). A researcher attempted to replicate this result using a sample of n = 25 adults between the ages 40 and 45. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained by frowning. On average, the cartoons were rated funnier when the participants were smiling, with an average difference of M D = 1.6 with SS = 150. In this problem, you do not have to calculate SS or the mean difference which is already provided. Will there be a difference between the two conditions? Use a two-tailed test with α= .01 Show all the steps. n = df = MD= μD = s2 = SM D= State the hypothesis s and select alpha (consider one tailed or two tailed): Locate critical region for stated alpha: Compute test statistic (Repeated measure t-score):…
A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=9 in each sample.The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). These assignments of drugs are called treatments.The (dependent) variable being compared is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. How many groups (or population means or treatments) are being compared in this problem? _________ (Enter a whole number) What is the total number of data used in this problem? _________(Enter a whole number) Fill in all missing values in the table. (Hint: Start with the df column and your above answers.)If there are decimal places in your answer, provide 2 or more decimal places. Source of Variation SS df MS F…
The dataset TrafficFlow gives the delay time in seconds for 24 simulation runs in Dresden, Germany, comparing the current timed traffic light system on each run to a proposed flexible traffic light system in which lights communicate traffic flow information to neighboring lights. On average, public transportation was delayed 105 seconds under the timed system and 44 seconds under the flexible system. Since this is a matched pairs experiment, we are interested in the difference in times between the two methods for each of the n=24 simulations. For the differences D, we were given that seconds with seconds. We wish to estimate the average time savings for public transportation on this stretch of road if the city of Dresden moves to the new system.The standard error is 3.1 for one set of 10,000 bootstrap samples. Find a confidence interval for the average time savings.Round your answers to one decimal place.

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