Answered: 1. Suppose that ten students are first…

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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Question

1. Suppose that ten students are first taught a spoken English course with the help of visual aids and then they were taught the course using traditional methods. If the impact of both courses need to be compared, which test can be used? a) Sign Test b) Signed Rank Test c) Mann-Whitney-Wilcoxon Test d)None of the Above

2. Suppose that a factory produces tables with a fixed height = 2 ft, and if tables are lower than 2ft in height, they are rejected. A sample of tables is periodically selected and measured to determine whether the tables are lower than 2ft in height or not.

a) If a hypothesis test is conducted to understand whether the average height of tables is lower than 2ft or not, will it be a two-tailed test?

b) If a hypothesis test is conducted to find out whether the average height of tables is lower than 2ft, and the z value is found to be 2.33, can we conclude that the average height of tables is not higher than 2ft? (Use 5% level of significance)

3. When do we prefer parametric methods over non-parametric methods in statistics?

a) When we have a large dataset

b) When we have a small dataset

c) When we do not have a dataset

d) None of the above

4. Suppose that the median monthly income of Dhanmondi is Tk. 75,000. A sample of 300 people of Uttara found 165 people with a monthly income over Tk. 75,000 and 135 with an annual income under Tk. 75,000. Can it be concluded that the median monthly income of Dhanmondi differs from that of Uttara? Use α = 0.05.

a) Yes

b) No

c) The answer cannot be determined from the information provided

d) None of the above

5. Suppose that the sales of a company (Y) is regressed on advertising expenditure (x) and labor cost (z), and the estimated regression equation is Y = 5 + 0.5x + 0.7z + u (where u is the error term). Here, sales, advertising expenditure and labor cost are measured in million Tk. Standard error for the coefficient of x is 0.04, standard error for the coefficient of z is 0.01, and the sample size is 20. Based on this information, answer the following questions.

a) Can we say that an increase in labor cost by one million taka will cause an increase in sales by 50 thousand taka?

b) Can we say that an increase in advertising expenditure will cause an increase in sales by 50 thousand taka?

c) At the 5% level of significance, can we conclude that advertising expenditure is a statistically significant variable?

6. The following graph shows the sales of a company for different quarters (e.g. 2018 (1) means 1st quarter of 2018). Study the graph and answer the following questions.

a) Does the graph show a seasonal trend?

b) From the graph, can it be concluded that the sales of the company are increasing, on average?

Sales (in million Tk.)
28.5
28
27.5
27
26.5
26
25.5
25
24.5
24
2018 (1) 2018 (2) 2018 (3) 2018 (4) 2019 (1) 2019 (2) 2019 (3) 2019 (4)

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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