7.1-6 **Transcription for Educational Website:****Topic: Bacteria Count in Lake Macatawa**1. **Background Information:** - This section investigates the bacteria count in the east and west basins of Lake Macatawa. - Samples of water were collected to count bacteria colonies in 100 milliliters of water.2. **East Basin Sampling:** - A total of $ n = 30 $ samples of water were taken. - The number of bacteria colonies, measured in hundreds, in each 100 milliliters of water from the east basin are as follows: - 93, 140, 8, 120, 3, 120, 33, 14, 94, 98, 100, 23, 110, 57, 76, 9, 73, 53, 28, 49, 66, 9, 73, 70, 27, 91, 53, 37, 92, 53.3. **West Basin Sampling:** - A total of $ n = 37 $ samples of water were taken. - Sample characteristics: - Mean ($ \bar{x} $) = 11.95 - Standard Deviation ($ s $) = 11.80 - Measured number of colonies in hundreds. - An approximate 95% confidence interval is constructed for the mean number of colonies ($ \mu $) in 100 milliliters of water in the west basin.4. **Confidence Interval Calculation:** - An approximate 90% confidence interval for the mean number of colonies ($ \mu_{E} $) in the east basin is required.5. **Example of Other Items:** - A random sample of $ n = 6 $ wheels of cheese yielded weights (in pounds) as follows: - 22.90, 22.00, 18.55, 19.40, 18.95, 21.50, 22.35.**Analysis & Reporting:**- The data set provides insights into the potential differences in bacteria counts between the east and west basins of Lake Macatawa.- The use of statistics, such as mean, standard deviation, and confidence intervals, helps in understanding the variation and reliability of the bacterial presence in the water

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water in the east basin. 7.1-6. To determine whether the bacteria count was lower in the west basin of Lake Macatawa than in the east basin, n = 37 samples of water were taken from the west basin and the number of bacteria colonies in 100 milliliters of water was counted. The sample characteris- tics were = 11.95 and s = 11.80, measured in hundreds of colonies. Find an approximate 95% confidence interval for the mean number of colonies (say, µ w) in 100 milliliters of water in the west basin. %3D 7.1-7. Thirteen tong

water in the east basin. 7.1-6. To determine whether the bacteria count was lower in the west basin of Lake Macatawa than in the east basin, n = 37 samples of water were taken from the west basin and the number of bacteria colonies in 100 milliliters of water was counted. The sample characteris- tics were = 11.95 and s = 11.80, measured in hundreds of colonies. Find an approximate 95% confidence interval for the mean number of colonies (say, µ w) in 100 milliliters of water in the west basin. %3D 7.1-7. Thirteen tong

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

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Question

7.1-6

**Transcription for Educational Website:**

**Topic: Bacteria Count in Lake Macatawa**

1. **Background Information:**
- This section investigates the bacteria count in the east and west basins of Lake Macatawa.
- Samples of water were collected to count bacteria colonies in 100 milliliters of water.

2. **East Basin Sampling:**
- A total of $ n = 30 $ samples of water were taken.
- The number of bacteria colonies, measured in hundreds, in each 100 milliliters of water from the east basin are as follows:
- 93, 140, 8, 120, 3, 120, 33, 14, 94, 98, 100, 23, 110, 57, 76, 9, 73, 53, 28, 49, 66, 9, 73, 70, 27, 91, 53, 37, 92, 53.

3. **West Basin Sampling:**
- A total of $ n = 37 $ samples of water were taken.
- Sample characteristics:
- Mean ($ \bar{x} $) = 11.95
- Standard Deviation ($ s $) = 11.80
- Measured number of colonies in hundreds.
- An approximate 95% confidence interval is constructed for the mean number of colonies ($ \mu $) in 100 milliliters of water in the west basin.

4. **Confidence Interval Calculation:**
- An approximate 90% confidence interval for the mean number of colonies ($ \mu_{E} $) in the east basin is required.

5. **Example of Other Items:**
- A random sample of $ n = 6 $ wheels of cheese yielded weights (in pounds) as follows:
- 22.90, 22.00, 18.55, 19.40, 18.95, 21.50, 22.35.

**Analysis & Reporting:**
- The data set provides insights into the potential differences in bacteria counts between the east and west basins of Lake Macatawa.
- The use of statistics, such as mean, standard deviation, and confidence intervals, helps in understanding the variation and reliability of the bacterial presence in the water

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