Give a 99.9% confidence interval of the difference between the population mean ratings for smaller ships and the population mean ratings for larger ships. (Note, the order of subtraction matters...look at the wording carefully.)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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![### Cruise Ship Rating Survey Analysis
A travel magazine conducts an annual survey where readers rate their favorite cruise ships. These ratings are done on a 10-point scale, with higher values indicating better service quality.
- **Sample of Smaller Ships**:
- **Number of Ships**: 55
- **Average Rating**: 8.75
- **Standard Deviation**: 0.86
- **Sample of Larger Ships**:
- **Number of Ships**: 30
- **Average Rating**: 8.91
- **Standard Deviation**: 0.52
The objective is to determine the 99.9% confidence interval of the difference between the population mean ratings for smaller ships and the population mean ratings for larger ships.
**Important Note**: The order of subtraction matters when calculating the difference between population mean ratings. Follow the provided order in the prompt carefully.
**Confidence Interval to be provided with values rounded to 2 decimal places.**
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