(c) Carry out a formal test of the hypotheses suggested in part (b). Find the test statistic and Pvalue. (Use a- 0.05. Round your test statistic to two decimal places and your P.value to four decimal places.) P.value
(c) Carry out a formal test of the hypotheses suggested in part (b). Find the test statistic and Pvalue. (Use a- 0.05. Round your test statistic to two decimal places and your P.value to four decimal places.) P.value
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Find C.
![Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases. It is therefore important that the information on packages be accurate. A random sample of n = 12 frozen dinners of a certain type was selected from production during a particular
period, and the calorie content of each one was determined. (This determination entails destroying the product, so a census would certainly not be desirable!) Here are the resulting observations, along with a boxplot and normal probability plot. (Use this dataset for your analysis software.)
255
244
239
242
265
245
259
248
225
226
251
233
n USE SALT
27아
265
26아
255 E
25아
245E
240-
235 E
23아
225
-1.5
-0.5
0.5
1.5
22아
Normal score
(a) Is it reasonable to test hypotheses about mean calorie content u by using a t test? Explain why or why not.
. Yes, it is reasonable. The pattern in the normal probability plot is roughly linear, and since the sample was a random sample from the population, the t test is
appropriate.
No, the t test is not applicable here. The pattern in the normal probability plot is roughly linear. Therefore, the t test is not appropriate.
Yes, it is reasonable. The pattern in the normal probability plot is not linear, and since the sample was a random sample from the population, the t test is appropriate.
No, the t test is not applicable here. The sample wa
not a random sample from the population so the t test is not appropriate.
It depends on the results of t test.
(b) The stated calorie content is 243. Does the boxplot suggest that true average content differs from the stated value? Explain your reasoning.
Yes, the center of the boxplot is different from the stated value indicating the true average content must differ from the stated
value.
o Not necessarily, it is possible that true average content is 243 and observed differences could be due to sampling variability.
No, the true average content must be 243 since 243 is inside the box of the boxplot.
Yes, the true average content must be different from 243 since 243 is inside the box of the boxplot.
(c) Carry out a formal test of the hypotheses suggested in part (b).
Find the test statistic and P-value. (Use a = 0.05. Round your test statistic to two decimal places and your P-value to four decimal places.)
t =
P-value =
Calories](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a90d237-2cd2-42ad-a4f1-40c734449af4%2Ff1a2665f-33c6-464c-9978-ef0f7a5cb94e%2Fywu91yb_processed.png&w=3840&q=75)
Transcribed Image Text:Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases. It is therefore important that the information on packages be accurate. A random sample of n = 12 frozen dinners of a certain type was selected from production during a particular
period, and the calorie content of each one was determined. (This determination entails destroying the product, so a census would certainly not be desirable!) Here are the resulting observations, along with a boxplot and normal probability plot. (Use this dataset for your analysis software.)
255
244
239
242
265
245
259
248
225
226
251
233
n USE SALT
27아
265
26아
255 E
25아
245E
240-
235 E
23아
225
-1.5
-0.5
0.5
1.5
22아
Normal score
(a) Is it reasonable to test hypotheses about mean calorie content u by using a t test? Explain why or why not.
. Yes, it is reasonable. The pattern in the normal probability plot is roughly linear, and since the sample was a random sample from the population, the t test is
appropriate.
No, the t test is not applicable here. The pattern in the normal probability plot is roughly linear. Therefore, the t test is not appropriate.
Yes, it is reasonable. The pattern in the normal probability plot is not linear, and since the sample was a random sample from the population, the t test is appropriate.
No, the t test is not applicable here. The sample wa
not a random sample from the population so the t test is not appropriate.
It depends on the results of t test.
(b) The stated calorie content is 243. Does the boxplot suggest that true average content differs from the stated value? Explain your reasoning.
Yes, the center of the boxplot is different from the stated value indicating the true average content must differ from the stated
value.
o Not necessarily, it is possible that true average content is 243 and observed differences could be due to sampling variability.
No, the true average content must be 243 since 243 is inside the box of the boxplot.
Yes, the true average content must be different from 243 since 243 is inside the box of the boxplot.
(c) Carry out a formal test of the hypotheses suggested in part (b).
Find the test statistic and P-value. (Use a = 0.05. Round your test statistic to two decimal places and your P-value to four decimal places.)
t =
P-value =
Calories
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman