2. 100 college students were surveyed, and it was found out that all of them have visited at least one of thefollowing three cities: Manila (M), Pasig (P), and Quezon (Q).53 of the students visited Manila.52 of the students visited Pasig.65 of the students visited Quezon.19 of the students visited Manila and Pasig.31 of the students visited Manila and Quezon.28 of the students visited Pasig and Quezon.38 of the students visited exactly one of the following cities: Manila, Pasig, and Quezon.a.) How many students visited only Manila?b.) How many students visited all of the following cities: Manila, Pasig, and Quezon?c.) How many students visited at most two of the following three cities: Manila, Pasig, and Quezon?Venn Diagram:

Venn diagram are used to visualize the group of observations. In venn diagram, we can indicate only…

Answered: 2. 100 college students were surveyed,…

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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In a survey of 1000 randomly selected adults in the United States, participants were asked what their most favorite and what their least favorite subject was when they were in school (Associated Press, August 17, 2005). In what might seem like a contradiction, math was chosen more often than any other subject in both categories! Math was chosen by 232 of the 1000 as the favorite subject, and it was also chosen by 366 of the 1000 as the least favorite subject. In USE SALT (a) Construct a 95% confidence interval for the proportion of U.S. adults for whom math was the favorite subject in school. (Give the answers to three decimal places.) (b) Construct a 95% confidence interval for the proportion of U.S. adults for whom math was the least favorite subject. (Give the answers to three decimal places.)
2. Jada surveyed 300 people from various age groups about their shoe preference. The two-way table summarizes the results of the survey. prefers prefers sneakers prefers shoes that sneakers with total without laces are not sneakers laces 4-10 12 3 36 years old 11-17 21 48 39 108 years old 18-24 15 54 87 156 years old total 57 114 129 300 Jada concludes that there is a possible association between age and shoe preference. Is Jada's conclusion reasonable? Explain your reasoning. 21
5. In 2006, tenis introduced a challenge system in which a player can challenge a decision as to whether a tennis ball was correctly called 'in’ or ´ouť by an official. In the 2015 U.S. Open Tennis Championship there were a total of 850 player challenges between both the Men's and Women's Singles matches. These challenges were determined either to be correct (meaning the player was correct and the umpire was incorrect) or incorrect (meaning the player was incorrect and the umpire was correct). These 850 challenges are summarized in the table below. Player Challenge Men's Women's Correct 153 72 Incorrect 394 231 (a) Calculate the proportion of all challenges that were determined to be correct. (b) Using these data as a representative sample of all player challenges in professional tennis, a 95% confidence interval for the difference in the proportion of men's and women's challenges that are determined to be correct (men – women) was found to be 0.04 ± 0.06. All conditions for inference…
6) A survey of 42 out of hundreds in a dining hall showed that 17 enjoyed their meal. Which is true about the above statement? a) It is a statistic because the data set of all people in the dining hall is a population. b) It is a statistic because the data set of 42 people in the dining hall is a sample. ) It is a parameter because the data set of 42 people in the dining hall is a population. d) It is a parameter because the data set of all people in the dining hall is a sample. 0. Focus
6) A small business owner you follow on TikTok is SO EXCITED because last month, she was able to begin selling her product in a popular chain store around the nation. Her contract with the chain store says that at any time, there will be at least 20 of her products sitting out on the shelves. She wants to conduct a survey to see if that is true. She visits 5 of the local chain stores around her and records the number of products of hers that are on the shelves. She will then construct a 95% confidence interval to determine the mean number of products on the shelves for all of the stores. (a) Discuss whether this study meets the each of the conditions for constructing a confidence interval. If one of the conditions has not been met, what additional information would be required or what change in the study would you recommend? (b) If, instead of constructing a 95% confidence interval, the business owner constructed a 98% confidence interval, would the 98% interval be wider, narrower, or…
9. A group of 50 single men were asked which dating apps they had on their phones. The follo data were collected: 33 of the men had the Tinder app. 30 of the men had the Coffee Meets Bagel app. 26 of the men had the Hinge app. 16 of the men had both the Tinder and Coffee Meets Bagel apps. 14 of the men had both Tinder and Hinge apps. 18 men had both Hinge and Coffee Meets Bagel apps. 7 men had all three apps on their phones. a) Represent this information in a Venn diagram: b) Calculate the number of single men who have none of these apps on their phone. c) How many single men only had Tinder on their phone? d) How many students own at most two of the apps?
10. For adults, certain type of cancers can be treated with multiple health interventions. To gain information about all Maryland-based treatment centers a survey is sent to a randomly chosen group of 25 Maryland based treatment centers that asks about the recommended interventions for cancer patients based on medical records, insurance, and income. All of the randomly selected treatment centers completed the survey. The sample is: For adults, certain type of cancers can be treated with multiple health interventions. To gain information about all Maryland-based treatment centers a survey is sent to a randomly chosen group of 25 Maryland based treatment centers that asks about the recommended interventions for cancer patients based on medical records, insurance, and income. All of the randomly selected treatment centers completed the survey. The sample is: a. the 25 Maryland-based treatment centers b. the medical records, insurance, and income c. all Maryland-based treatment…
5. In recent years there has been a great deal of research demonstrating gender discrimination in science, technology, engineering and math (STEM) fields. In one experiment, for example, faculty members viewed an application for a laboratory manager position. The applications were identical except that half had a traditionally male name (John) and half had a traditionally female name (Jennifer). In addition, half of the faculty participants were from STEM fields and half were from non-STEM fields. The faculty were asked to rate the competence of the applicants on a 6-point scale, with 1 indicating a lower rating. Group means are presented below, along with an incomplete summary table. After completing the table, write a conclusion about the outcome of the experiment. Source Gender of applicant Male Female Between Treatments Gender of applicant Discipline of rater A x B interaction Within treatments Total SS 320 80 576 Discipline of Faculty Rater STEM M = 4.80 M = 4.02 df MS 20 1.25…
12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? b. How many owned à convertible and a TV, but not a store? 36 c. How many athletes owned a convertible or a TV? d. How many athletes owned exactly one type of item in the survey? e. How many athletes owned at least one type of item in the survey? f. How many owned a TV or a store, but not a convertible?
9. In order to investigate a rumor that there is a greater than expected number of girls among the children of chemists, Science magazine conducted an informal survey of eight chemistry departments. A secretary in the chemistry department at Indiana University, Bloomington, thought there might be something to this rumor and made sure that every one of the 34 faculty members in her department who have children responded to the Science survey. Altogether these Indiana chemists have 53 (56%) girls and 41 (44%) boys. Is this evidence that chemists produce more girl babies than expected? What kind of data would you prefer before drawing this type of conclusion? Explain how your idea would make the evidence produced more convincing.
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A study was conducted to examine how anxiety (measured on a metric scale) varies for people from different age groups (<18 years, 19 - 29 years, 30 - 39 years, 40+ years). It was hypothesised that people <18 years old would have the least anxiety of the four age groups. It was also hypothesised that people 40+ years old would have more anxiety than people 19-29 years old. Which of the following would be an appropriate statistical test to conduct, which addresses these hypotheses? Group of answer choices: Factorial ANOVA Multiple Regression Mixed ANOVA Single factor ANOVA Within Subjects ANOVA

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