(a) In the calculation of which of the following summary statistics, all the data in the data set are used? (you may choose one or more than one answer) I: Range, II: Interquartile range, III: Standard deviation.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Question 6
(For question 6, just write down the answer. No explanation is needed.)
(a) In the calculation of which of the following summary statistics, all the data in the data set are used?
(you may choose one or more than one answer)
I:
Range,
II: Interquartile range,
III: Standard deviation.
(b) The number of hours of sleep during Sunday for a college student is known to be a right-skewed
distribution. For the first quartile is 5.8 hours and median is 6.6 hours, which of the following could be
the third quartile?
I:
7.2 hours,
II: 7.4 hour, or
III: 8.2 hours.
(c) Every package of Christmas chocolate set contains one pack of white chocolate and one pack of dark
chocolate. The weight of a pack of white chocolate follows normal distribution with mean 250 grams
and standard deviation 4 grams. The weight of a pack of dark chocolate follows another normal
distribution with mean 300 grams and standard deviation o grams. The weight of white chocolate and
the weight of dark chocolate are independent. By using T to denote the total weight of chocolate in a
package, it is known that the mean of T is 550 grams and standard deviation of T is 8.0623 grams. Find
the value of o.
(d) In a factory, estimation of the population mean amount of oil in a bottle are performed regularly. The
amount of oil in a bottle is normally distributed with population standard deviation of 0.2 mL. For the
point estimate should be within + 0.03 mL from the true population mean at the 99% confidence level,
find the smallest sample size.
Transcribed Image Text:Question 6 (For question 6, just write down the answer. No explanation is needed.) (a) In the calculation of which of the following summary statistics, all the data in the data set are used? (you may choose one or more than one answer) I: Range, II: Interquartile range, III: Standard deviation. (b) The number of hours of sleep during Sunday for a college student is known to be a right-skewed distribution. For the first quartile is 5.8 hours and median is 6.6 hours, which of the following could be the third quartile? I: 7.2 hours, II: 7.4 hour, or III: 8.2 hours. (c) Every package of Christmas chocolate set contains one pack of white chocolate and one pack of dark chocolate. The weight of a pack of white chocolate follows normal distribution with mean 250 grams and standard deviation 4 grams. The weight of a pack of dark chocolate follows another normal distribution with mean 300 grams and standard deviation o grams. The weight of white chocolate and the weight of dark chocolate are independent. By using T to denote the total weight of chocolate in a package, it is known that the mean of T is 550 grams and standard deviation of T is 8.0623 grams. Find the value of o. (d) In a factory, estimation of the population mean amount of oil in a bottle are performed regularly. The amount of oil in a bottle is normally distributed with population standard deviation of 0.2 mL. For the point estimate should be within + 0.03 mL from the true population mean at the 99% confidence level, find the smallest sample size.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman