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Statistics

What is an example of a "state space" in the context of statistics?

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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9.) A recent survey of 2,000 Taylor Swift fans reported that the average fan paid $300 for concert ticket. Is this an example of inferential or descriptive statistics?
How do the average weekly incomes of electricians and carpenters compare? A random sample of 17 regions in the United States gave the following information about average weekly income (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.) Region 1 2 3 4 5 6 7 8 9 Electricians 469 715 596 464 738 693 748 573 809 Carpenters 544 817 511 474 681 505 786 659 478 Region 10 11 12 13 14 15 16 17 Electricians 592 596 706 574 865 597 597 652 Carpenters 487 643 678 381 818 607 555 507 Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 10% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 Salary (thousands of $) If a person is making the first quartile salary for a construction worker, they are making more than what percentage of Teachers? They are making more than % of Teachers.
Toward the middle of the harvesting season, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the data to the right were recorded at a fruit delivery station. Complete parts (a) through (d) below. 18 trucks (Type a whole number.) (b) How many carried only extra late? 17 trucks (Type a whole number.) (c) How many carried only one type of peach? 28 trucks went out carrying early peaches; 60 carried late peaches; (a) How many trucks carried only late variety peaches? trucks (Type a whole number.) 46 carried extra late peaches; 19 carried early and late; 25 carried late and extra late; 6 carried early and extra late; 2 carried all three; 5 carried only figs (no peaches at all).
The following two-by-two table was created from the data. WAKE UP DURING THE NIGHT GENDER Yes No TOTAL Female 125 25 150 Male 91 30 121 TOTAL 216 55 271 What is the risk (probability) of waking up during the night if you are a female? What is the risk (probability) of waking up during the night if you are a male? What is the relative risk (risk ratio) of waking up during the night if you are a female as compared to a male? State your finding in plain language:
A statistics professor would like to build a model relating student scores on the first test to the scores on the second test. The test scores from a random sample of 21 students who have previously taken the course are given in the table. Student Test Grade 1 Test Grade 21 42 812 51 743 88 624 99 575 54 726 66 737 87 638 99 579 97 5810 89 6311 42 7712 71 6313 96 5514 56 7615 75 6916 57 7017 62 7518 89 6319 50 7220 56 7221 89 57Step 1 of 2 : Using statistical software, estimate the parameters of the modelSecond Test Grade=β0+β1(First Test Grade)+εi.Enter a negative estimate as a negative number in the regression model. Round your answers to 4 decimal places, if necessary.
Scenario: A guidance counselor wanted to know if anxiety differs based on time (first day of class in relation to the last day of class), and if this differs based on year in school (as a freshman, sophomore, junior, or senior). She collected data on a single group of students across their entire high school career at these eight time points — first and last day of freshman, sophomore, junior, and senior year. Anxiety was measured using a standardized scale ranging from 0 — 50, with higher scores indicating greater anxiety. Question: If p = .014 for the interaction of Time x Academic Year, what should the researcher conclude? Group of answer choices The interaction is not significant; no additional analyses are needed to interpret it. The interaction is significant; no additional analyses are needed to interpret it. The interaction is not significant; run correlated groups t-tests for post hoc analyses. The interaction is significant; for post hoc analyses, split the file…
Determine whether the following examples are discrete or continuous data sets. Write "DISCRETE" for discrete and "CONTINUOUS" for continuous. (without quotations - use for instance copy and paste to avoid typos) (a) The number of voters who vote Democratic. answer: (b) The number of customers waiting in line at the grocery store. answer: (c) The temperature in any given location. answer: (d) The length of time needed for a student to complete a homework assignment. answer:
Problem Folklore has it that there is an inverse correlation between mathematical and artistic ability. Suppose you decide to determine whether there is anything to this notion. You randomly sample 15 participants and give them tests measuring these two abilities. The resulting data are shown here. Mathematical Ability (x) Artistic Ability (y). 16 31 35 10 29 20 23 17 25 24 Mathematical Ability (x) Artistic Ability (y) 41 39 25 11 26 22 15 11 19 20 Mathematical Ability (x) Artistic Ability (y). ANIA 19 10 31 24 31 17 29 25 Do the following: 1946 1. Present and discuss the given data using descriptive statistics measurement. Note: (Use measures of center, dispersion, relative position & normal distribution empirical rule) 2. What is the correlation value between mathematical ability and artistic ability? Interpret result. 3. Is there a significant correlation between mathematical ability and artistic ability at 0.05 level of significance (2-tailed)? What is your conclusion this time?
You saw back in Chapter 2 that the mean, median, mode, and midrange are used to indicate where data is centered in a data set, or in other words what a typical value in the set is. A question that is often asked is, "If they're all supposed to do the same thing, why is there more than one?" Isn't one enough? In this exercise, you will be given two small sets of data. For each set, a. find the mean, median, mode and midrange b. in your opinion, decide which of the measures BEST represents all the values in the set (best indicates a typical value), and which one does this the WORST. c. post your responses and justify them by explaining why Don't forget to respond to at least one of your classmate's posts. With this exercise, "more is better." I'll elaborate after the deadline. • Set A: the salaries of 10 employees at a company (in thousands of dollars): 50, 50, 50, 50, 50, 50, 50, 50, 50, 500 • Set B: the grades of 9 students on an exam: 20, 25, 30, 35, 40, 45, 100, 100, 100
I need help with something regarding this problem. The National Sleep Foundation recommends that adults aged 18 to 64 get an average of 8 hours of sleep per night. A survey of sleep hours was taken during a Statistics class. The data is listed below: 4, 5, 5, 5, 5.5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10 Do we have enough evidence at the 0.05 significance level to say that statistics students tend to get less sleep than the recommended average of 8 hours per night? How would I get the degrees of freedom?
40 30 20 10 0 00 : 00000 -1.00 00000 -0.75 3. A statistics student seeking part-time employment as a New York City cab driver is trying to decide between driving a yellow cab or a green cab and examines tip amounts to help in making the decision. Using data from the New York City Taxi & Limousine Commission (http:// www.nyc.gov/html/tlc/html/about/trip_record_data.shtml), the stu- dent examines tip amounts from 25 randomly selected green cab fares and tip amounts from 25 randomly selected yellow cab fares. Graphs and summary statistics of the sample data from green cabs (G) and yellow cabs (Y) are shown. Green Cab ooooooooo000 Yellow Cab oooooooooooo 우1 -0.50 88.8. COCO 2 - 3 -0.25 4 5 Amount of Trip 0.go null = 0 Source: http://www.nyc.gov/html/tlc/html/about/trip_record_data.shtml Because each sample includes outliers, a two-sample t-test for H₁ a difference in means is not appropriate to test the hypotheses: Ho: MG My = 0, Ha:MG My # 0. The student simulates a distri- µy bution of…