Strategic placement of lobster traps is one of the keys for a successful lobster fisherman. A study was conducted of the average distance separating traps-called trap spacing-deployed by lobster fishermen. The trap-spacing measurements (in meters) for a sample of seven teams from fishing cooperative A, and a sample of eight teams from fishing cooperative B are repeated in the accompanying table. For this problem, we are interested in comparing the mean trap-spacing measurements of the two fishing cooperatives. (Since the sample from fishing cooperative A is listed first, treat it as the first sample.) Complete parts a through f below. E Click the icon to view the table of trap spacing measurements. a. Identify the target parameter for this study. YA. H1-P2 O B. H1+ P2 O C. H12 O D. ? Table of trap spacing measurements b. Compute a point estimate of the target parameter. A Cooperative: B Cooperative: 97 70 103 99 90 95 142 108 130 76 77 74 The point estimate is. 95 97 94 (Round two decimal places as needed.) Print Done
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![**Lobster Trap Spacing Study**
Strategic placement of lobster traps is one of the keys for a successful lobster fisherman. A study was conducted of the average distance separating traps—called trap spacing—deployed by lobster fishermen. The trap-spacing measurements (in meters) for a sample of seven teams from fishing cooperative A, and a sample of eight teams from fishing cooperative B are repeated in the accompanying table. For this problem, we are interested in comparing the mean trap-spacing measurements of the two fishing cooperatives. (Since the sample from fishing cooperative A is listed first, treat it as the first sample.) Complete parts a through f below.
**a. Identify the target parameter for this study.**
- [x] A. \(\mu_1 - \mu_2\)
- [ ] B. \(\mu_1 + \mu_2\)
- [ ] C. \(\mu_{12}\)
- [ ] D. \(\sigma^2\)
**b. Compute a point estimate of the target parameter.**
The point estimate is \(\_\_\_\_ \).
(Round to two decimal places as needed.)
**Table of trap spacing measurements**
| Fishing Cooperative | Trap Spacing Measurements (meters) |
|-----------------------|-------------------------------------------|
| **A Cooperative** | 97, 76, 77, 74, 70, 103, 99 |
| **B Cooperative** | 95, 90, 95, 142, 108, 130, 97, 94 |
**Instructions:**
- To compute the point estimate:
1. Calculate the mean trap spacing for each cooperative.
2. Subtract the mean trap spacing of cooperative B from the mean trap spacing of cooperative A.
Use the following formula to calculate the mean for each cooperative:
\[ \bar{x} = \frac{\sum{x_i}}{n} \]
Where \( \sum{x_i} \) is the sum of all observations and \( n \) is the number of observations.
**Note:** Ensure to round your final answer to two decimal places.
After obtaining the means, the point estimate (\(\mu_1 - \mu_2\)) is calculated by subtracting the mean of B from the mean of A.
**Example Calculation:**
For Cooperative A:
\[ \text{Mean of A} = \frac{97 +](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dffadf4-6195-4ecd-8325-0f00263ddf75%2F52f5fb4a-b98b-493f-9bfa-2f31f4f38964%2Fc43qwje_processed.jpeg&w=3840&q=75)
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