Answered: 6.2.6 In a survey of introductory… | bartleby

MATLAB: An Introduction with Applications

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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### Example 6.2.6: Analysis of Facebook Friend Counts in Introductory Statistics Students

In this example, a survey was conducted among students in an introductory statistics course. The instructor asked her students to report the number of Facebook friends they had. The purpose of this study is to determine if there is an association between the number of Facebook friends and a person's sex.

**Key Objectives:**

- Understand how to collect and analyze data regarding social media usage.
- Investigate potential correlations between social factors and demographic variables.

This example provides a practical context to apply statistical methods for analyzing survey data and exploring associations between different variables.

a. Identify whether the study is an experiment or an observational study. Explain.

b. Identify the observational units.

c. Identify the explanatory and response variables. Also, for each variable identify whether it is categorical or quantitative.

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24. The personnel manager of a consumer product company asked a random sample of employees how they felt about the work they were doing. The following table gives a breakdown of their responses by gender. Do the data provide sufficient evidence to conclude that the level of job satisfaction is related to gender? Use a = 0.10 Gender Male Female Very Interesting 70 35 Response Fairly Interesting 41 34 Not Interesting 9 11
Medical researchers followed 6272 Swedish men for 30 years to see if there was any association between the amount of fish in their diet and prostate cancer. (“Fatty Fish Consumption and Risk of Prostate Cancer,” Lancet, June 2001). A summary of the data is given in the table below. Fish Consumption No Prostate Cancers Prostate Cancers Never/Seldom 110 14 Small part of diet 2420 201 Moderate part of diet 2769 209 Large part of diet 507 42 A) If a patient is randomly selected, what is the probability that he/she had prostate cancer given that fish was never or seldom a part of the diet? Round your answer to three decimal places and include the leading zero. B) If a patient is randomly selected, what is the probability that s/he ate fish as a large part of their diet given that they had prostate cancer. Round your answer to two decimal places and include the leading zero.
3. Some sports psychologists believe that an athlete's motivation is related to how many hours they will devote to training in a 2-week period. To see if this is true, a sports trainer measures the motivation (M) and training hours (TH) of a random sample of 8 Olympic-class athletes and obtains the following data: M TH 57 40 74 46 42 38 48 36 75 54 62 42 665 76 550 69 25 a) Is there a significant correlation between M and TH in this sample (a≤.05)? (8 points) b) If another athlete obtained an M score of 70, what would his or her predicted TH score be and what are the 90% bounds to the error of this prediction? (10 points)
Is there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people. Frequencies of Hair Colors for Various Body Types Blonde Brunette Red Head 71 80 96 108 55 115 46 91 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the o= 0.01 significance level? 53 74 69 63
Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?
A graphing calculator is recommended.The following table lists the number of pages in four different types of magazines. Home decorating News Health Computer 175 89 85 104 287 95 157 139 165 123 91 98 209 107 106 209 199 101 97 147 Using a significance level of 5%, test the hypothesis that the four magazine types have the same average length. (Let 1 = Home decorating, 2 = News, 3 = Health and 4 = Computer.) 1.)Enter an exact number as an integer, fraction, or decimal.df(num) = 2.) Enter an exact number as an integer, fraction, or decimal.df(denom) = 3.)What is the test statistic? (Round your answer to two decimal places.) 4.)What is the p-value? (Round your answer to four decimal places.) 5.)(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)? =
6. A study of report writing by psychologist is conducted. A scale that measures the intelligibility of psychologist English is devised. This scale, called an "index of confusion" is devised so that low scores indicate high readability. These data are obtained on articles randomly selected from psychology journals and from unpublished reports written in 2015. Unpublished reports 2.39 Journals 1.79 1.75 1.67 1.65 2.51 2.86 2.14 1.87 1.75 1.94 2.56 2.29 2.49 1.62 2.06 1.33 2.36 2.58 2.33 1.96 1.69 1.70 2.62 2.41 1.94 a. Test the appropriate hypotheses. b. Does there appear to be a difference between u, and u, ? Explain.

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