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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Chapter 10: Comparing Two Groups

#### 10.56 Internet Book Prices
Anna's project for her introductory statistics course was to compare the selling prices of textbooks at two Internet bookstores. She first took a random sample of 10 textbooks used that term in courses at her college, based on the list of texts compiled by the college bookstore. The prices of those textbooks at the two Internet sites were:

- **Site A**: $115, $79, $43, $140, $99, $30, $80, $99, $119, $69
- **Site B**: $110, $79, $40, $129, $99, $30, $89, $119, $80, $66

##### Questions:
a. Are these independent samples or dependent samples? Justify your answer.

b. Find the mean for each sample. Find the mean of the difference scores. Compare and interpret.

c. Using software or a calculator, construct a 90% confidence interval comparing the population mean prices of all textbooks used that term at her college. Interpret.

#### 10.57 Comparing Book Prices 2
For the data in the previous exercise, use software or a calculator to perform a significance test comparing the population mean prices. Show all steps of the test and indicate whether you would conclude that the mean price is lower at one of the two Internet bookstores.

#### 10.58 Lung Capacity Revisited
Refer to Exercise 10.34 about lung capacity.

---

This educational content provides a detailed look into comparing groups through sample exercises involving textbook prices from different sources. Students are encouraged to analyze independent and dependent samples, calculate means, and use statistical tools to interpret data and make informed conclusions.
Transcribed Image Text:### Chapter 10: Comparing Two Groups #### 10.56 Internet Book Prices Anna's project for her introductory statistics course was to compare the selling prices of textbooks at two Internet bookstores. She first took a random sample of 10 textbooks used that term in courses at her college, based on the list of texts compiled by the college bookstore. The prices of those textbooks at the two Internet sites were: - **Site A**: $115, $79, $43, $140, $99, $30, $80, $99, $119, $69 - **Site B**: $110, $79, $40, $129, $99, $30, $89, $119, $80, $66 ##### Questions: a. Are these independent samples or dependent samples? Justify your answer. b. Find the mean for each sample. Find the mean of the difference scores. Compare and interpret. c. Using software or a calculator, construct a 90% confidence interval comparing the population mean prices of all textbooks used that term at her college. Interpret. #### 10.57 Comparing Book Prices 2 For the data in the previous exercise, use software or a calculator to perform a significance test comparing the population mean prices. Show all steps of the test and indicate whether you would conclude that the mean price is lower at one of the two Internet bookstores. #### 10.58 Lung Capacity Revisited Refer to Exercise 10.34 about lung capacity. --- This educational content provides a detailed look into comparing groups through sample exercises involving textbook prices from different sources. Students are encouraged to analyze independent and dependent samples, calculate means, and use statistical tools to interpret data and make informed conclusions.
### STA 271: Assignment 5

**3. Refer to Exercise 10.56, p.497.**

   a. Complete part (a).

   b. Complete part (b).

   c. Complete part (c).

   d. **Using only the interval calculated in part (c)**, can you conclude that the mean textbook price is lower at one of the stores? Explain why or why not.

   e. What significance level did you use in part (d)?

   f. Use software to construct an appropriate plot to estimate the population distribution and paste below. Is there any reason to believe that statistical inferences will be unreliable for these data? Explain why or why not.
Transcribed Image Text:### STA 271: Assignment 5 **3. Refer to Exercise 10.56, p.497.** a. Complete part (a). b. Complete part (b). c. Complete part (c). d. **Using only the interval calculated in part (c)**, can you conclude that the mean textbook price is lower at one of the stores? Explain why or why not. e. What significance level did you use in part (d)? f. Use software to construct an appropriate plot to estimate the population distribution and paste below. Is there any reason to believe that statistical inferences will be unreliable for these data? Explain why or why not.
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