Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
4th Edition
ISBN: 9780128045251
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 5, Problem 5.3P
To determine
To find:
The result of the two separate programs.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
How do different methods of statistical inference influence the interpretation and validity of results in real-world applications, especially in the context of complex datasets?
Proctor
ts
Question 6
▼
No Comments
0/2 pts 299 Details
A study of tipping behaviours examined the relationship between the colour of the shirt worn by the server
and whether or not the customer left a tip.
Group 1: In a random sample of 70 customers served by a server wearing a red shirt, 45 left a tip.
Group 2: In a random sample of 342 customers served by a server wearing a non-red shirt, 195 left a tip.
At the 5% level of significance, is there a difference in tip leaving between red-shirted servers and non-
red-shirted servers?
Note: Be sure to use at least five decimal places in all intermediate calculations.
State the hypotheses of this test.
1-2=0
HA: μ-20
O Ho
Ho: 1-2=0
urces
O Ho H1 H2=0
Ho: P1 P2=0
ources
HA: H1
H2>0
HA: P1
P20
O Ho: P1 P2=0
O Ho: P1
P2=0
HA P1 P20
Et
According to the given information, provide the answers to the following parts:
Group 1:
Sample size n₁ =
Sample Proportion = p₁ =
(round properly to 3 decimal places)
Observed number of successes in the…
Suppose that the number of expensive goods X sold in a shop over 24 days,
is Poisson random variable with rate 240, i.e. X Poisson (240), where > 0 is the
expected number of sales per day and is the unknown parameter that we would like to
estimate. Suppose further that can take three possible values 0₁ = 1/2, 0, 1/4 and
0₁ = 1/8, with prior probabilities 0.2, 0.5 and 0.3, respectively. Suppose now that we
observe that x=10 expensive goods were sold in the last 24 days.
(a) Write down the likelihood function for and find the MLE of 0.
(b) Given the observed data 2 = 10, what is the posterior distribution of 0, p(0 | x=
10)?
(c) What is the posterior mean for ?
(d) What is the posterior standard deviation for 0? [Hint: You may use the fact if X
is a random variable, then var(X) = E(X²) – [E(X)]²].
Chapter 5 Solutions
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Ch. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10P
Ch. 5 - Prob. 1ECh. 5 - Prob. 2ECh. 5 - Prob. 3ECh. 5 - Prob. 4ECh. 5 - Prob. 5ECh. 5 - Prob. 6ECh. 5 - Prob. 7ECh. 5 - Prob. 8ECh. 5 - Prob. 9ECh. 5 - Prob. 10ECh. 5 - Prob. 11ECh. 5 - Prob. 12ECh. 5 - Prob. 13ECh. 5 - Prob. 14ECh. 5 - Prob. 15ECh. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Prob. 18ECh. 5 - Prob. 19ECh. 5 - Prob. 21ECh. 5 - Prob. 20ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Prob. 24ECh. 5 - Prob. 25ECh. 5 - Prob. 26ECh. 5 - Prob. 27ECh. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Prob. 30ECh. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - Prob. 38ECh. 5 - Prob. 39ECh. 5 - Prob. 40ECh. 5 - Prob. 41ECh. 5 - Prob. 42ECh. 5 - Prob. 43E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Can you please help me answer these questionsarrow_forwardroctor es ces formula and a similar problem. During the 2017-2018 flu season, a random sample of 100 hospitalizations related to flu was studied. It was later determined that 10 patients have died. A similar study during the 2018-2019 flu season revealed that in a random sample of 80 hospitalized cases related to flu, there were 9 deaths observed. At 10% significance level, test the claim that the percentage of deaths in 2017-2018 is different from the percentage of deaths in the 2018-2019 season. Procedure: Two proportions Z Hypothesis Test く Assumptions: (select everything that applies) Population standard deviations are known Population standard deviation are unknown The number of positive and negative responses are both 5 or more for each sample Sample sizes are both greater than 30 Independent samples Simple random samples Normal populations Population standard deviation are unknown but assumed equal Paired samples Step 1. Hypotheses Set-Up: HPP Hap-P 0 0 =0 where p and p: are…arrow_forwardHypothesis TestingA machine produces nails with a mean length of 5 cm.A sample of 25 nails has a mean of 4.9 cm and standard deviation 0.2 cm.Test at 5% significance level whether the machine is producing nails of correct length.arrow_forward
- The marks of 10 students are: 40, 45, 45, 50, 50, 50, 55, 55, 60, 65.Find the mode.arrow_forwardMean and MedianFind the mean and median of the numbers: 10, 12, 15, 18, 20, 25.arrow_forwardSuppose that the number of expensive goods X sold in a shop over 24 days, is Poisson random variable with rate 240, i.e. X Poisson (240), where > 0 is the expected number of sales per day and is the unknown parameter that we would like to estimate. Suppose further that can take three possible values 0₁ = 1/2, 0, 1/4 and 0₁ = 1/8, with prior probabilities 0.2, 0.5 and 0.3, respectively. Suppose now that we observe that x=10 expensive goods were sold in the last 24 days. (a) Write down the likelihood function for and find the MLE of 0. (b) Given the observed data 2 = 10, what is the posterior distribution of 0, p(0 | x= 10)? (c) What is the posterior mean for ? (d) What is the posterior standard deviation for 0? [Hint: You may use the fact if X is a random variable, then var(X) = E(X²) – [E(X)]²].arrow_forward
- A machine is built to make mass-produced items. Each item made by the machine has a probability of being defective. Given the value of 0, the items are independent of each other, where is unknown and would like to estimate. Suppose has for prior distribution a Beta(a, ß) distribution, where a > 0 and 3>0. The machine is tested by producing items until the first defective occurs. Suppose that the first 12 items are not defective but the y = 13th item is defective. (a) Write down the likelihood function for 0 and find the MLE of 0. (b) Given the observed data y = 13, what is the posterior distribution of 0, p(0 | y = 13)? Take a = 1 and ẞ= 19. (c) What are the parameters of the posterior distribution? (d) What is the posterior mean for 0? (e) What is the posterior standard deviation? =arrow_forwardSuppose that the number of expensive goods X sold in a shop over 24 days, is Poisson random variable with rate 240, i.e. X Poisson (240), where > 0 is the expected number of sales per day and is the unknown parameter that we would like to estimate. Suppose further that can take three possible values 0₁ = 1/2, 0, 1/4 and 0₁ = 1/8, with prior probabilities 0.2, 0.5 and 0.3, respectively. Suppose now that we observe that x=10 expensive goods were sold in the last 24 days. (a) Write down the likelihood function for and find the MLE of 0. (b) Given the observed data 2 = 10, what is the posterior distribution of 0, p(0 | x= 10)? (c) What is the posterior mean for ? (d) What is the posterior standard deviation for 0? [Hint: You may use the fact if X is a random variable, then var(X) = E(X²) – [E(X)]²].arrow_forward4. Suppose you are investigating the properties of three random variables called "A", "B", and "C", and you discover the following information about them: A ~ N(0,1); B ~ C~X(μc, 2), where all observations on "A" are independent, and, "B" and "C" are independent of each other. Use this information to answer the following questions. (a.) Suppose we create a new variable, "D", as: What type of distribution does "D" have? D = (b.) What are the degrees of freedom of "D" in this example? (c.) Suppose we create a new variable, "E", as: 45 E == ΣΑ i=1 What type of distribution does "E" have? (d.) What are the degrees of freedom of "E" in this example?arrow_forward
- 23. If P(A)=0.4, P(A or B)=0.9, and P(A and B)=0.2. find P(B). A. 0.7° B. 0.3 C. -0.7 D. 0.5arrow_forward6 In Statistics class, the probability that a randomly-selected student was born in India is 0.07. 10 students are independently and randomly selected. What is the probability that at least one of them was born in India? 9 a) 0.07 b) 0.93 c) 0.48 d) 0.52arrow_forwardNormal DistributionHeights of students are normally distributed with mean 170 cm and standard deviation 6 cm.Find the probability that a student’s height is between 164 cm and 176 cm.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License