Students at the University of Michigan frequently talk about the freshly baked chocolate chip cookies from MoJo. A UM student wishes to investigatesome questions specifically about the chocolate chip cookies at MoJo, but needs the help of a Stats 250 student. For each description of a researchquestion below, select the one corresponding statistical analysis technique most appropriate for addressing that research question. Do athletes love cookies? As a follow up to a previous observation, the UM student decides that it might be best to gather data about whether thestudent is an athlete or not, as the number of cookies they eat in a week might differ. The UM student gathers a large random sample of UM athletes toask them to self-report the number of cookies they ate at MoJo the week before. Then the UM student gathers a large random sample of UM non-athletes to ask them to self-report the number of cookies they ate a MoJo the week before.One-sample t-test for a population meanPaired t-test for a population mean of the differencesTwo-sample t-test for the comparison of two population meansOne-sample Z-test for a population proportion

The study is about to check whether athletes love cookies or not, the UM students decides that it…

Answered: Do athletes love cookies? As a follow…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The President of the University of Michigan would like to know more about students on campus. He conducts a survey of 173 randomly selected students that is representative of the entire student body. He finds that 53 of 173 sampled students are Health Science majors. He also collects data on student's majors by race/ethnicity and gets the data below. Health Science Student Ethnicity yes no total African American 5 16 21 Asian/Pacific Islander 3 17 20 Caucasian 42 58 100 Hispanic 2 17 19 Other 1 12 13 Total 53 120 173 a) The President is interested in the association between race/ethnicity and major. State the null and alternative hypothesis for evaluating this. b) How many students would you expect to be Hispanic health science majors if race/ethnicity and major are independent of each other? c) You find that the chi-squared test statistic works out to be 15.6748 with a P-value equal to .003488.…
Below are the data from the study described in lecture about assessing whether Beagles or German Shepherds Dogs dig more holes. Once again, my buddy Mike hypothesizes that Beagles will dig more holes than Shepherds. Ten of each dog species are randomly assigned to fresh backyards. Mike goes to work and counts the number of holes dug in each yard when he gets home. As expected, one of the Beagles escaped, so that Beagle's score was eliminated from the data (i.e., n = 10 for the Shepherds, but n = 9 for the %3D Beagles). Go through the steps of hypothesis testing and evaluate Mike's hypothesis, using alpha = .05. Beagles GSD |12 7 10 1 6 4 8 1 14 1 H n ON
For several decades, it was a common practice in Southern California for houses to be built with pools in the backyard (as any airplane flight which ends at a Southern California airport will reveal). Now, however, that practice may be changing, possibly because of the recent demand for landscaped homes, which experts believe help reduce pollution. A recent study examined a random sample of 140 houses built in Southern California between 1950 and 1985 and an independent, random sample of 87 houses built in Southern California from 1992 to the present. The sample of houses built in 1950 - 1985 contained 52 houses with pools, and the sample of houses built from 1992 - present contained 29 houses with pools. Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion p, of all Southern California houses built in 1950 - 1985 that were built with pools is greater than the proportion p, of all Southern California houses built from 1992 - present that were…
A professor using an open source introductory statistics book predicts that 15% of the students will purchase a hard copy of the book, 35% will print it out from the web, and 50% will read it online. At the end of the semester he asks his students to complete a survey where they indicate what format of the book they used. Of the 276 students, 36 said they bought a hard copy of the book, 107 said they printed it out from the web, and 133 said they read it online. Round all answers to four decimal places.
For several decades, it was a common practice in Southern California for houses to be built with pools in the backyard (as any airplane flight which ends at a Southern California airport will reveal). Now, however, that practice may be changing, possibly because of the recent demand for landscaped homes, which experts believe help reduce pollution. A recent study examined a random sample of 126 houses built in Southern California between 1950 and 1985 and an independent, random sample of 80 houses built in Southern California from 1992 to the present. The sample of houses built in 1950-1985 contained 62 houses with pools, and the sample of houses built from 1992-present contained 27 houses with pools. Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion p1 of all Southern California houses built in 1950-1985 that were built with pools is greater than the proportion p2 of all Southern California houses built from…
According to eMarketer, the average time spent per day with digital media in 2010 was 3 hours and 14 minutes. For last year, a random sample of 20 American adults spent the following number of hours per day with digital media: 1.4 ,5.0 ,5.8, 4.1, 5.6, 2.1, 6.5, 2.3, 8.0, 9.5, 7.3, 5.9, 9.4, 4.3, 2.9, 2.8, 5.1, 4.5, 4.1, 6.6 a. Obtain and interpret a 90% confidence interval for last year’s mean time spent per day with digital media by American adults. (Note: ? = 5.16 hr; s = 2.3 hr.)
Is it a good idea to listen to music when studying for a final exam test? Does it matter what music you listen to? A researcher conducted a study. He worked with two independent samples, a random sample 1 of 44 students who were asked to listen to music by Mozart and another random sample 2 of 97 students who were asked to listen to Pop music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember (memory score). Here are the summary statistics for each group: the sample means are ¯x1=10.5x¯1=10.5 for sample 1 and ¯x2=9.5x¯2=9.5 for sample 2. Suppose that the population standard deviations are σ1=1.5σ1=1.5 and σ2=1.8σ2=1.8 are available. Could the researcher claim at a 4% level of significance that on average, there is no significant difference in memory score depending on the type of music students listen to? Use the zz-test for two independent samples and the formula,…
A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.01α=0.01 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 2121 2424 4141 5252 5151 2626 2121 4141…
only parts D, E, & F
People with headaches are randomly divided into two groups. One group gets pain medication, and the other does not. One hour later, the participants are asked about their pain. If it is an experimental study, what is the treatment group?
A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…
A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students was selected from each of grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. The results are presented in the table below, grouped by the sex of the child. Top Personal Goal Boys Girls Make good grades 96 295 Be popular 32 45 Be good in sports 94 40 Reference: Ref 14-9 The numerical value of the χ2 statistic for this table is

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