Before opening a new restaurant, a chef wants to gather information about the eating habits of thelocal residents. He randomly selects 1000 households from all households in the area and mails aquestionnaire to them. Of the 1000 surveys mailed, he receives 150 back. Which of the following isthe most obvious concern with how this information is gathered?(A) The 1000 selected households are not a simple random sample of households.(B) Mailing questionnaires instead of conducting in-person interviews produces a convenience sample.(C) Those who chose to respond to the survey may have different eating habits from those who didnot respond.(D) Only residents from the local area were polled.(E) The chef must conduct a census in order to avoid all sources of bias.

The chef is trying to gather information about the eating habits of local residents by sending out…

Answered: Before opening a new restaurant, a chef…

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 city, according to a 1990 demographic report based on the census result, the average daily spending onfood per person is $75.In 2020, a random sample of 28 persons in the same city is selected and the daily spending ($) on food foreach interviewee is recorded as follow:55.0 59.5 62.5 65.5 68.5 69.0 70.0 70.0 82.0 82.583.5 85.0 86.0 86.5 86.5 87.0 87.0 87.0 89.0 92.593.0 94.5 94.5 96.0 98.0 102.5 108.5 110.5(a) Find the point estimate for the population mean daily spending on food per person in year 2020.(b) It is assumed that the spending is normally distributed. Construct a 90% confidence interval estimatefor the population mean daily spending on food per person in year 2020.(c) Is there sufficient evidence to conclude that the population mean daily spending on food per person in2020 is higher than 1990? Test at 1% level of significance. (State clearly the null hypothesis,alternatively hypothesis, rejection region, test statistics and conclusion.)
A company is started by four friends. The company was Erica’s idea, so she wants to fill 70% of the orders. Jen, Heather, and Tonya each agree to fill 10% of the orders. After a successful first year, Erica wants to determine if the distribution of the number of orders filled is adhering to the agreed-upon percentages. To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order. What is the name of the appropriate inference procedure? chi-square test for goodness of fit one-sample t-test for a difference in means two-sample t-test for a difference in means two-sample z-test for a difference in proportions
(6) A student surveys some students on campus in the evening and finds that 16 out of 20 of the students she interviewed are part time students. She uses the data to estimate the percentage of all students who are part time. What type of bias is present in her sample?
Identify what sampling technique is applicable in the following situation:Your organization is conducting a random drug testing in schools. As a member of the research committee, you are tasked to conduct the test in Central City School which has a population of 9672 students. The sample that you need is only 100 randomly selected students. How are you going to achieve this? Show solutions if necessary.
The students in an Introductory Statistics class are asked to complete a survey about study habits. (a) does the study appear to use random sampling? yes or no (b) does the study appear to use random assignment? yes or no
A researcher wants to study the effects of social media on Grade 11 students in Mathematics High School. He wishes to use the simple random sampling technique in choosing the members of his sample. If there are 1,000 Grade 11 students in the school, how many students should there be in his sample? Discuss the steps he must take if he wishes to use the lottery method.
Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in PGA tournaments are shown in the following table. Player Michael Letzig Scott Verplank D. A. Points Jerry Kelly Soren Hansen D. J. Trahan Bubba Watson Reteif Goosen Jeff Klauk Kenny Perry First Final Round Round 70 71 70 72 70 67 71 68 67 70 72 72 75 71 69 67 67 75 73 69 Player Aron Price Charles Howell Jason Dufner Mike Weir Carl Pettersson Bo Van Pelt Ernie Els Cameron Beckman Nick Watney Tommy Armour III First Round 72 72 70 70 68 68 71 70 69 67 Final Round 72 70 - 73 77 70 65 70 68 68 71
A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4. Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!). a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line below
A principal at a large elementary school (grades 1 - 5) is considering making changes to the bus schedule. She selects a random sample of 100 students from each grade and contacts the students’ families regarding the bus schedule. What sampling technique is used in this example?
the grade-point averages of 20 college seniors selected at random from a graduating class are as follows:3.2, 1.9, 2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9. calculate the standard deviation.
Determine which Sample Type is used in the following scenarios. President Biden want to survey the nation about their incomes. He contacts the IRS and has them put everyone who filed taxes last year into a data base. He then groups tax filers based on their filing status, Single, Married filing separate, and married filing jointly. He then selects 5000 people from each group using a random generator to survey.
A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. 1. What kind of statistical test should be used to test the consumer group's research goal, assuming that the researcher wanted to use the 1-to-10 scale as a numerical interval measure? A. Repeated-measures t-test B. One-way Independent Measures ANOVA C. Repeated-measures ANOVA D. Independent-measures t-test 2. State the hypothesis that aims to test the consumer group’s research goal (i.e., what is H0 and HA).

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