2 pics, one questions ### Identifying Significant Weights of Coins using Z Scores**Instruction:** Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.17165 g and a standard deviation of 0.06357 g. Identify the weights that are significantly low or significantly high.**Task 1: Identifying Weights that are Significantly Low****Q:** What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.- **A.** Weights that are greater than \_\_\_\_\_\_\_ (Round to five decimal places as needed.) - **B.** Weights that are between \_\_\_\_\_\_\_ and \_\_\_\_\_\_\_ (Round to five decimal places as needed. Use ascending order.) - **C.** Weights that are less than **5.04451** (Round to five decimal places as needed.)---**Task 2: Identifying Weights that are Significantly High****Q:** What weights are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice.- **A.** Weights that are greater than **5.29879** (Round to five decimal places as needed.) - **B.** Weights that are less than \_\_\_\_\_\_\_ (Round to five decimal places as needed.) - **C.** Weights that are between \_\_\_\_\_\_\_ and \_\_\_\_\_\_\_ (Round to five decimal places as needed. Use ascending order.)---**Explanation:** This example focuses on identifying weights of coins that are statistically significant based on their z scores. The significant low weights are below 5.04451 g, and the significant high weights are above 5.29879 g. These values are determined using the provided mean (5.17165 g) and standard deviation (0.06357 g) of the weights. **Identify Significantly Low and High Weights of Coins****Overview**In statistics, a value is considered significantly low if its z-score is less than or equal to -2, and significantly high if its z-score is greater than or equal to 2. This concept can be applied to various data sets, such as the weights of a particular type of coin.**Data Information**The data set in consideration lists the weights (in grams) of a type of coin. Key statistics for these weights:- **Mean weight**: 5.17165 grams- **Standard deviation**: 0.063 grams**Tasks and Responses**### 1. Identifying Significantly Low WeightsDetermine the weights that are significantly low.**Options:**- A. Weights that are greater than ____.- B. Weights that are between ____ and ____.- C. Weights that are less than 5.04451. (Correct answer; rounded to five decimal places as needed)The significantly low weight for the coins is defined as less than 5.04451 grams.### 2. Identifying Significantly High WeightsDetermine the weights that are significantly high.**Options:**- A. Weights that are greater than 5.29879. (Correct answer; rounded to five decimal places as needed)- B. Weights that are less than ____.- C. Weights that are between ____ and ____.The significantly high weight for the coins is defined as greater than 5.29879 grams.By identifying the significantly low and high weights, one can better understand the distribution and anomalies within the data set for the coins.

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Description: 2 pics, one questions ### Identifying Significant Weights of Coins using Z Scores**Instruction:** Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is great

It is given that the mean is 5.17165 and the standard deviation is 0.06357.

Math

Statistics

Lonsider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2. A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.17165 g and a standard deviation of 0.06357 g. Identify the weights that are significantly low or significa. What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Weights that are greater than (Round to five decimal places as needed.) O B. Weights that are between (Round to five decimal places as needed. Use ascending order.) and O C. Weights that are less than 5.04451. (Round to five decimal places as needed.) What weights are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Weights that are greater than 5.29879. (Round to five decimal places as needed.) O B. Weights that are less than (Round to five decimal places as needed.) O C. Weights that are between and (Round to five decimal places as needed. Use ascending order.)

Lonsider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2. A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.17165 g and a standard deviation of 0.06357 g. Identify the weights that are significantly low or significa. What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Weights that are greater than (Round to five decimal places as needed.) O B. Weights that are between (Round to five decimal places as needed. Use ascending order.) and O C. Weights that are less than 5.04451. (Round to five decimal places as needed.) What weights are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Weights that are greater than 5.29879. (Round to five decimal places as needed.) O B. Weights that are less than (Round to five decimal places as needed.) O C. Weights that are between and (Round to five decimal places as needed. Use ascending order.)

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Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

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.

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2 pics, one questions

### Identifying Significant Weights of Coins using Z Scores

**Instruction:** Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.

A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.17165 g and a standard deviation of 0.06357 g. Identify the weights that are significantly low or significantly high.

**Task 1: Identifying Weights that are Significantly Low**

**Q:** What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.

- **A.** Weights that are greater than \_\_\_\_\_\_\_ (Round to five decimal places as needed.)

- **B.** Weights that are between \_\_\_\_\_\_\_ and \_\_\_\_\_\_\_ (Round to five decimal places as needed. Use ascending order.)

- **C.** Weights that are less than **5.04451** (Round to five decimal places as needed.)

---

**Task 2: Identifying Weights that are Significantly High**

**Q:** What weights are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice.

- **A.** Weights that are greater than **5.29879** (Round to five decimal places as needed.)

- **B.** Weights that are less than \_\_\_\_\_\_\_ (Round to five decimal places as needed.)

- **C.** Weights that are between \_\_\_\_\_\_\_ and \_\_\_\_\_\_\_ (Round to five decimal places as needed. Use ascending order.)

---

**Explanation:** This example focuses on identifying weights of coins that are statistically significant based on their z scores. The significant low weights are below 5.04451 g, and the significant high weights are above 5.29879 g. These values are determined using the provided mean (5.17165 g) and standard deviation (0.06357 g) of the weights.

**Identify Significantly Low and High Weights of Coins**

**Overview**

In statistics, a value is considered significantly low if its z-score is less than or equal to -2, and significantly high if its z-score is greater than or equal to 2. This concept can be applied to various data sets, such as the weights of a particular type of coin.

**Data Information**

The data set in consideration lists the weights (in grams) of a type of coin. Key statistics for these weights:
- **Mean weight**: 5.17165 grams
- **Standard deviation**: 0.063 grams

**Tasks and Responses**

### 1. Identifying Significantly Low Weights

Determine the weights that are significantly low.

**Options:**
- A. Weights that are greater than ____.
- B. Weights that are between ____ and ____.
- C. Weights that are less than 5.04451. (Correct answer; rounded to five decimal places as needed)

The significantly low weight for the coins is defined as less than 5.04451 grams.

### 2. Identifying Significantly High Weights

Determine the weights that are significantly high.

**Options:**
- A. Weights that are greater than 5.29879. (Correct answer; rounded to five decimal places as needed)
- B. Weights that are less than ____.
- C. Weights that are between ____ and ____.

The significantly high weight for the coins is defined as greater than 5.29879 grams.

By identifying the significantly low and high weights, one can better understand the distribution and anomalies within the data set for the coins.

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