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For Problems #1 through #15, consider the following context: The farmers at Olde Port Orchards grow a number of varieties of apples, including Royal Gala, Golden Delicious, Honey Crisp, Pink Lady, and Red Delicious. Patrons at the farm's various fall harvest festivals can select one apple on their way of the property as a takeaway treat. The management wonders if the apple varieties selected comparably by festival patrons. A simple random sample of recent selections by festival patrons was as follows: Royal Gala Golden Delicious Honey Crisp Pink Lady Red Delicious 46 54 50 32 68 Make no assumptions about the underlying distribution. Test the claim at the 1% level of significance. Item #7: Complete the following table by computing the expected value for each variety of apple, based on the context. Royal Gala Golden Delicious Honey Crisp Pink Lady Red Delicious Observed 46 54 50 32 68 Expected

For Problems #1 through #15, consider the following context: The farmers at Olde Port Orchards grow a number of varieties of apples, including Royal Gala, Golden Delicious, Honey Crisp, Pink Lady, and Red Delicious. Patrons at the farm's various fall harvest festivals can select one apple on their way of the property as a takeaway treat. The management wonders if the apple varieties selected comparably by festival patrons. A simple random sample of recent selections by festival patrons was as follows: Royal Gala Golden Delicious Honey Crisp Pink Lady Red Delicious 46 54 50 32 68 Make no assumptions about the underlying distribution. Test the claim at the 1% level of significance. Item #7: Complete the following table by computing the expected value for each variety of apple, based on the context. Royal Gala Golden Delicious Honey Crisp Pink Lady Red Delicious Observed 46 54 50 32 68 Expected

MATLAB: An Introduction with Applications
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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**Context for Problems #1 through #15:** The farmers at Olde Port Orchards cultivate several apple varieties: Royal Gala, Golden Delicious, Honey Crisp, Pink Lady, and Red Delicious. During the farm's fall harvest festivals, visitors can select one apple to take home. The management is curious whether the apple varieties are chosen equally by festival goers. A simple random sample of recent apple selections by patrons is as follows: - **Royal Gala:** 46 - **Golden Delicious:** 54 - **Honey Crisp:** 50 - **Pink Lady:** 32 - **Red Delicious:** 68 The task is to test the claim with no assumptions about the underlying distribution at the 1% level of significance. **Item #7: Calculation Task** Complete the table below by computing the expected value for each variety of apple, based on the given data. | | Royal Gala | Golden Delicious | Honey Crisp | Pink Lady | Red Delicious | |------------|------------|------------------|-------------|-----------|---------------| | **Observed** | 46 | 54 | 50 | 32 | 68 | | **Expected** | | | | | | (Note: The specific expected values need to be calculated using the appropriate statistical methods for chi-square tests, assuming equal probability of selection for each variety.)
Transcribed Image Text:**Context for Problems #1 through #15:** The farmers at Olde Port Orchards cultivate several apple varieties: Royal Gala, Golden Delicious, Honey Crisp, Pink Lady, and Red Delicious. During the farm's fall harvest festivals, visitors can select one apple to take home. The management is curious whether the apple varieties are chosen equally by festival goers. A simple random sample of recent apple selections by patrons is as follows: - **Royal Gala:** 46 - **Golden Delicious:** 54 - **Honey Crisp:** 50 - **Pink Lady:** 32 - **Red Delicious:** 68 The task is to test the claim with no assumptions about the underlying distribution at the 1% level of significance. **Item #7: Calculation Task** Complete the table below by computing the expected value for each variety of apple, based on the given data. | | Royal Gala | Golden Delicious | Honey Crisp | Pink Lady | Red Delicious | |------------|------------|------------------|-------------|-----------|---------------| | **Observed** | 46 | 54 | 50 | 32 | 68 | | **Expected** | | | | | | (Note: The specific expected values need to be calculated using the appropriate statistical methods for chi-square tests, assuming equal probability of selection for each variety.)
For Problems #1 through #15, consider the following context: The farmers at Olde Port Orchards grow a number of varieties of apples, including Royal Gala, Golden Delicious, Honey Crisp, Pink Lady, and Red Delicious. Patrons at the farm's various fall harvest festivals can select one apple on their way off the property as a takeaway treat. The management wonders if the apple varieties selected comparably by festival patrons. A simple random sample of recent selections by festival patrons was as follows: | Royal Gala | Golden Delicious | Honey Crisp | Pink Lady | Red Delicious | |------------|------------------|-------------|-----------|---------------| | 46 | 54 | 50 | 32 | 68 | Make no assumptions about the underlying distribution. Test the claim at the 1% level of significance. Item #8: What shape best describes the distribution of expected values reported in the previous item, not these observed values? - ○ bimodal - ○ j-shaped - ○ rectangular or uniform - ○ skewed left or negatively skewed - ○ skewed right or positively skewed - ○ symmetric or triangular
Transcribed Image Text:For Problems #1 through #15, consider the following context: The farmers at Olde Port Orchards grow a number of varieties of apples, including Royal Gala, Golden Delicious, Honey Crisp, Pink Lady, and Red Delicious. Patrons at the farm's various fall harvest festivals can select one apple on their way off the property as a takeaway treat. The management wonders if the apple varieties selected comparably by festival patrons. A simple random sample of recent selections by festival patrons was as follows: | Royal Gala | Golden Delicious | Honey Crisp | Pink Lady | Red Delicious | |------------|------------------|-------------|-----------|---------------| | 46 | 54 | 50 | 32 | 68 | Make no assumptions about the underlying distribution. Test the claim at the 1% level of significance. Item #8: What shape best describes the distribution of expected values reported in the previous item, not these observed values? - ○ bimodal - ○ j-shaped - ○ rectangular or uniform - ○ skewed left or negatively skewed - ○ skewed right or positively skewed - ○ symmetric or triangular
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