A scientific study was conducted to determine the hours of sleep that college students get per night. Thestudy surveyed 24 college students and obtained the following data:8.2, 7.9, 9, 8, 9.1, 7.8, 8.4, 8.4, 7.3, 7.4, 8.5, 7.4, 7.9, 7.7, 9.7, 9.1, 7.1, 7.9, 7.8, 8.1, 8.3, 8.2, 6.5, 10.3Assuming the population standard deviation is o =average hours of sleep per night that college students get.1.01, construct a 97% confidence interval for theΖαMargin of Error: EWe are 97% confident that college students get an average of betweenhours andhours of sleep per night.

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Answered: A scientific study was conducted to…

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 authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent. Category Description IS Information sharing OC Opinions and complaints RT Random thoughts ME Me now (what I am doing now) O Other The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper). Twitter Type IS OC RT ME O Observed count 50 61 64 102 73 Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.Calculate the test statistic. (Round your answer to two decimal places.)χ2 = ?What is the P-value for the test?…
A researcher is interested in factors related to academic performance of students. She hypothesized that for undergraduate students, there is an association between academic majors (STEM, Business, Education, Nursing) and amount of time spent studying each week (less than 3 days, 3 to 6 days, everyday). To test her hypothesis, she randomly selected 1000 undergraduate students from various colleges/universities in Texas, and then classified each participant according to their major and amount of study time each week. For her study, she found test-statistic of 23.75 and a p-value of 0.0006. Using this information, fill in the necessary information below for her test. Distribution used: a. chi-square distribution, 3 degrees of freedom b. chi-square distribution, 4 degrees of freedom c. chi-square distribution, 6 degrees of freedom d. chi-square distribution, 12 degrees of freedom
6.1 Sexual harassment of college students. A survey of 2036 undergraduate college students aged 18 to 24 reports that 62% of college students say they have encountered some type of sexual harassment while at college.1 Describe the sample and the population for this setting 6.4 How often do they play? In the Pew survey described in Example 6.1, those who played video games were asked how often they played. In this subpopulation, 223 adults said that they played every day or almost every day 6.10 How often do they play? Refer to Exercise 6.4 (page 318). (a) Find SE^p, the standard error of ^p. (b) Give the 95% confidence interval for p in the form of estimate plus or minus the margin of error. (c) Give the confidence interval as an interval of percents.
A researcher wants to determine if the number of years of education for a parent correlates with the number of years of education for their child. The table shows the number of years of education of the parent and the number of years of education of their child for a random sample of 7. Years of Education of Parent: 13, 9, 12, 10, 12, 10, 12 Years of Education of their Child: 15, 11, 10, 16, 17, 12, 17 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. Use α = 0.05. If there is a significant linear correlation between the variables, determine the regression equation. There is a significant correlation between the variables and the regression equation is y' = 5.333 + 0.777x There is a significant correlation between the variables and the regression equation is y' = 0.777 + 5.333x There is not a significant correlation between the variables, so the regression equation should not be determined. There is a significant…
The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at 5% level of significance whether there is a relationship between smoking and visits to the physician. Status Visits to the Physician 0-1 2-4 >=5 Smoker 25 60 75 Nonsmoker 110 90 40 The test statistic will be. O a) 56.428 O b) 6.251 c) 50.123 O d) 69.100
A local park district is planning to build a recreation center. The park district conducted a poll to find out the types of physical activities the local population would be interested in. The poll was based on telephone responses from 1013 randomly selected adults. The table shows the percentages of people who expressed interest in various activities. Is it reasonable to conclude that 62% expressed interest in either biking or aerobics? A. Yes, because the percentages can always be added in relative frequency tables. B. No, because the poll is not based on a large-enough number of individuals. C. Yes, because these categories do not overlap. D. No, because these categories overlap. E. No, because the percentages in relative frequencies tables can never be added.
A report included data from a study in which 789 people in a representative sample of college students age 18 to 24 were asked how they perceive their money management skills. Possible responses were excellent, good, average, not very good, and poor. Each student in the sample was also classified by sex, resulting in the data in the table. Perception of Money Management Skills Not Very Good Excellent Good Average Poor Male 102 138 88 17 8 Female 81 193 136 22 4 Is there convincing evidence that there is an association between sex and how students perceive their money management skills? Test the relevant hypotheses using a significance level of a = 0.05. State the appropriate null and alternative hypotheses. O Ho: The proportions falling into each of the four perceptions of money management skills are the same for both sexes. H: The proportions falling into each of the four perceptions of money management skills are not the same for both sexes. O Ho: There is an association between sex…
What age groups use social networking sites? A recent study produced the following data about 768 individuals who were asked their age and which of three social networking sites they used most often. (People who did not use such sites were excluded from the study). Age Group (Years) 25 – 44 Web site 0 – 24 45 – 64 Over 65 Totals Facebook 77 105 114 12 308 Twitter 46 110 81 7 244 LinkedIn 15 97 95 216 Totals 138 312 290 28 768 Suppose one subject from this study was selected at random. Give your answer in reduced (simplified) fraction. (Example: 1/2) Find the probability that the selected subject preferred Twitter, given that he or she was in the 45 – 64 age group.
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6.34 Barking deer. Microhabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined. In this region woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests make up 39.6%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplot, and 61 as deciduous forests. The table below summarizes these data.39 Woods Cultivated grassplot Deciduous forests Other Total 4 16 61 345 426 (a) Write the hypotheses for testing if barking deer prefer to forage in cer- tain habitats over others. (b) What type of test can we use to answer this research question? (c) Check if the assumptions and conditions required for this test are sat- isfied. (d) Do these data provide convincing evidence that barking deer prefer to forage in certain habitats over others? Conduct an appropriate hypoth- esis test to answer this research question. Photo by Shrikant Rao (http://flic.kr/p/4Xjdkk) CC BY 2.0…
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3.1 The Chronicle of Higher Education (August 31, 2001) published data collected in a survey of a large num- ber of students who were college freshmen in the fall of 2001. Of those surveyed, 70.6% reported that they were attending their first-choice college, 20.8% their second- choice college, 5.5% their third-choice college, and 3.1% their fourth- or higher-choice college. Use a pie chart to display this information.

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