Suppose the following data represent the ratings (on a scale from 1 to 5) for a certain smart phone game, with 1 representing a poor rating. Complete parts (a) through (d) below. 0.1- 3 5 2 3 (c) Compute and interpret the mean of the random variable x. The mean is stars. (Round to one decimal place as needed.) Which of the following interpretations of the mean is correct? C OA. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. OB. The observed value of an experiment will be equal to the mean of the random variable in most experiments. C. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. OD. The observed value of an experiment will be less than the mean of the random variable in most experiments. (d) Compute the standard deviation of the random variable x. The standard deviation is stars. (Round to one decimal place as needed.) Stars 1 2 3 4 5 Frequenc 2725 2103 4597 4684 10,646

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**Analysis of Smartphone Game Ratings**

**Data Description:**
The following ratings (on a scale from 1 to 5) represent user feedback for a smartphone game, where 1 means a poor rating. The data is summarized as follows:

- 1 Star: 2725 ratings
- 2 Stars: 2103 ratings
- 3 Stars: 4597 ratings
- 4 Stars: 4684 ratings
- 5 Stars: 10,646 ratings

**Frequency Distribution Graphs:**
There are four red vertical lines above each integer from 1 to 5 at the scale 0 to 0.11, representing the frequency of ratings.

**Statistical Calculations:**

**(c) Calculate and Interpret the Mean:**
The mean value of the ratings is to be calculated and rounded to one decimal place. 

**Interpretations of the Mean:**
- A: As the number of experiments increases, the mean of the observations will approach the mean of the random variable.
- B: The observed value of an experiment will be equal to the mean of the random variable in most experiments.
- C: As the number of experiments decreases, the mean of the observations will approach the mean of the random variable.
- D: The observed value of an experiment will be less than the mean of the random variable in most experiments.

**(d) Calculate the Standard Deviation:**
Compute the standard deviation for the random variable x and round it to one decimal place.

These statistical metrics will provide insights into the population's overall satisfaction with the smartphone game.
Transcribed Image Text:**Analysis of Smartphone Game Ratings** **Data Description:** The following ratings (on a scale from 1 to 5) represent user feedback for a smartphone game, where 1 means a poor rating. The data is summarized as follows: - 1 Star: 2725 ratings - 2 Stars: 2103 ratings - 3 Stars: 4597 ratings - 4 Stars: 4684 ratings - 5 Stars: 10,646 ratings **Frequency Distribution Graphs:** There are four red vertical lines above each integer from 1 to 5 at the scale 0 to 0.11, representing the frequency of ratings. **Statistical Calculations:** **(c) Calculate and Interpret the Mean:** The mean value of the ratings is to be calculated and rounded to one decimal place. **Interpretations of the Mean:** - A: As the number of experiments increases, the mean of the observations will approach the mean of the random variable. - B: The observed value of an experiment will be equal to the mean of the random variable in most experiments. - C: As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. - D: The observed value of an experiment will be less than the mean of the random variable in most experiments. **(d) Calculate the Standard Deviation:** Compute the standard deviation for the random variable x and round it to one decimal place. These statistical metrics will provide insights into the population's overall satisfaction with the smartphone game.
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