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
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Chapter 6, Problem 20E
To determine
To write:
A program to call a
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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
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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 6 Solutions
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Ch. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Prob. 6.3PCh. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Prob. 1ECh. 6 - Prob. 2ECh. 6 - Prob. 3E
Ch. 6 - Prob. 4ECh. 6 - Prob. 5ECh. 6 - Prob. 6ECh. 6 - Prob. 7ECh. 6 - Prob. 8ECh. 6 - Prob. 9ECh. 6 - Prob. 10ECh. 6 - Prob. 11ECh. 6 - Prob. 12ECh. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Prob. 17ECh. 6 - Prob. 18ECh. 6 - Prob. 19ECh. 6 - Prob. 20ECh. 6 - Prob. 21ECh. 6 - Prob. 22ECh. 6 - Prob. 23ECh. 6 - Prob. 24ECh. 6 - Prob. 25ECh. 6 - Prob. 26ECh. 6 - Prob. 27ECh. 6 - Prob. 28ECh. 6 - Prob. 29E
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