
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 12, Problem 24E
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Question 4
ANNUAL
LEAVE
2.19/3 pts 29
Part 1 of 6
A group of economists wants to compare the mean annual leave among the US and EU workers. Two
samples of US and EU workers were obtained independently and analyzed.
The sample of 34 US workers had the mean annual leave of 14.7 days and the standard deviation 7.95 days.
The sample of 32 EU workers had the mean annual leave of 23.5 days and the standard deviation 3.86 days.
Use 10% level of significance to decide whether there is sufficient evidence that mean annual leave of US
workers is less than mean annual leave of EU workers.
Procedure: Select an answer
Assumptions: (select everything that applies)
Independent samples
Simple random samples
Population standard deviations are known
Normal populations
The number of positive and negative responses are both greater than 10 for both samples
Population standard deviation are unknown but assumed equal
Paired samples
Sample sizes are both greater than 30
Population standard deviation are…
You may want to use the Excel Two Means Calculator found in the Course to complete this problem.
You want to estimate the difference between the mean GPA of day students (Group 1) and the mean GPA of
night students (Group 2) with a 94% confidence.
A random sample of 13 day students and 14 night students and their GPA's are recorded below.
It is reasonable to assume samples represent populations with normal distributions.
Click this button to reveal the data. Click again to collapse it.
GPA-Day
GPA-Night
3.22
3.19
3.36
3.19
3.6
3.1
2.97
3.09
3.11
3.36
2.57
3.18
3.46
3.43
3.01
3.13
3.06
3.15
3.31
3.12
3.22
3.4
3.06
3.27
2.97
3.18
3.38
Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the
file, you may want to save it as an Excel Workbook.
All conditions are met for inference using Two-Sample T-Confidence Interval because there are two
independent random samples and populations have normal distributions.
Round answers properly to 2…
Proctor
ents
An economist wants to compare average hourly rate charged by automobile mechanics in two suburbs. She
randomly selects auto repair facilities from both suburbs and records their hourly rates (in dollars). The
data are as follows:
Click this button to reveal the data. Click again to collapse it.
Suburb1
Suburb2
39.5
44.6
33.3
39.5
43.9
29.6
37.7
31.2
42
44.3
32.9
46.3
33.5
46.4
46
47.3
41.6
20.1
43.4
33.9
ources
34.1
45.6
44.3
44.1
esources
43.1
35.8
36.5
36.6
42.1
32.5
Note:
If using Excel, after copying the given data, use Paste Special and select "Unicode Text" to paste the data
properly. After pasting, double check the number of data in each column to make sure those are pasted
properly.
If using Ti calculator, check sum of the data before analyzing: 593.9 for Suburb 1 and 577.8 for Suburb 2
Use 3% level of significance to decide whether there is sufficient evidence that the average hourly rate
charged by automobile mechanics in suburb 1 is greater than the average…
Chapter 12 Solutions
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Chapter 12, Problem 12.1PChapter 12, Problem 12.2PChapter 12, Problem 1EChapter 12, Problem 2EChapter 12, Problem 3EChapter 12, Problem 4EChapter 12, Problem 5EChapter 12, Problem 6EChapter 12, Problem 7EChapter 12, Problem 8E
Chapter 12, Problem 9EChapter 12, Problem 10EChapter 12, Problem 11EChapter 12, Problem 12EChapter 12, Problem 13EChapter 12, Problem 14EChapter 12, Problem 15EChapter 12, Problem 16EChapter 12, Problem 17EChapter 12, Problem 18EChapter 12, Problem 19EChapter 12, Problem 20EChapter 12, Problem 21EChapter 12, Problem 22EChapter 12, Problem 23EChapter 12, Problem 24EChapter 12, Problem 25EChapter 12, Problem 26E
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- 3:51 myopenmath.com Get a similar question You can retry this question below 89 סוי A school administrator wants to see if there is a difference in the number of students per class for the Portland Public School district (Group 1) compared to the Beaverton School district (Group 2). Let μ₁ be the average number of students per class for the Portland Public School district. Let u₂ be the average number of students per class for the Beaverton School district. Assume the populations are normally distributed. A random sample of 28 Portland classes found a mean of 33 students per class with a standard deviation of 6. A random sample of 27 Beaverton classes found a mean of 38 students per class with a standard deviation of 4. a. Find a 98% confidence interval for the difference of the means. Use Excel Two Means Calculator found in the Course and round answers to 2 decimal places. <11-12 < b. Select the correct conclusion based on the < above confidence interval. Since the above dencente…arrow_forwardDon't use AI please for this statistics question.arrow_forwardStatistics and probability question!arrow_forward
 - Suppose that we have data y = (1,...,n). Each data point y; is assumed to be generated by a distribution with the following probability density function: P(yi | n)=3nye, y; ≥0. The unknown parameter is >0. (a) Write down the likelihood for n given y, and find an expression for the maximum likelihood estimate (MLE) of n. (b) A Gamma(a, 3) distribution is chosen as the prior distribution for 7, where a > 0 and > 0 are known. Show that the posterior distribution of n, denoted p(n | A), is also a gamma distribution with updated parameters that you should determine.arrow_forwardDo the data provide compelling evidence (at α=0.05) for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade? Show all your work. Estimate the difference between true average strengths for the two grades with a 95% confidence interval for the previous problem.arrow_forwardUse Minitab and the GPA data (GPAData.xlsx) to answer the following. a) (15 points) Is there a mean difference in High School GPA and a person's GPA following their first year of college? State the relevant hypotheses and provide the p-value from the output. Include a decision and interpretation at a 10% level of significance. b) (5 points) Is the assumption of normality satisfied? Include any plots you make to check the normality assumption and comments on your observations.arrow_forward
 
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