(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.
 for your analysis software.)
Observations (Calories):
255, 244, 239, 242, 265, 245, 259, 248, 225, 226, 251, 233
**Diagrams:**
1. **Boxplot**
- A horizontal boxplot showing calorie contents ranging from approximately 220 to 270.
- The box stretches from about 231 to 259, with the median line near 244.
- A slight outlier at 265.
2. **Normal Probability Plot**
- A scatter plot of normal scores versus calories.
- Most points follow a roughly linear trend line, with some deviations at the extremes.
### (a) Is it reasonable to test hypotheses about mean calorie content 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, a t-test is not applicable here. The pattern in the normal probability plot is not roughly linear. Therefore, the t-test is not appropriate.
- It depends on the results of the 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.
- No, not necessarily. It is possible the true average content is 243 and observed differences could be due to sampling variability.
### (c) Carry out a formal test of the hypotheses suggested in part (b).
Find the test statistic and P-value. (Use \( \alpha = 0.05 \). Round your test statistic to two](/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:**Use Salt: Analyzing Calorie Content of Packaged Goods**
Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases. It is essential 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 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.)
Observations (Calories):
255, 244, 239, 242, 265, 245, 259, 248, 225, 226, 251, 233
**Diagrams:**
1. **Boxplot**
- A horizontal boxplot showing calorie contents ranging from approximately 220 to 270.
- The box stretches from about 231 to 259, with the median line near 244.
- A slight outlier at 265.
2. **Normal Probability Plot**
- A scatter plot of normal scores versus calories.
- Most points follow a roughly linear trend line, with some deviations at the extremes.
### (a) Is it reasonable to test hypotheses about mean calorie content 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, a t-test is not applicable here. The pattern in the normal probability plot is not roughly linear. Therefore, the t-test is not appropriate.
- It depends on the results of the 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.
- No, not necessarily. It is possible the true average content is 243 and observed differences could be due to sampling variability.
### (c) Carry out a formal test of the hypotheses suggested in part (b).
Find the test statistic and P-value. (Use \( \alpha = 0.05 \). Round your test statistic to two
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