The data shown below represent the age (in weeks) at which babies first crawl, based on a survey of 12 mothers. Complete parts (a) through (c) below. 52 30 44 350 47 37 56 26 37 39 37 47 Click the icon to view the table of critical correlation coefficient values for normal probability plots. (a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Choose the correct answer below. B. 30 40 50 60 Age (in weeks) 20 30 40 50 60 20 30 40 50 60 Age (in weeks) 20 30 40 50 60 Age (in weeks) Age (in weeks) Since the correlation between the expected z-scores and the observed data, V the critical value, it V reasonable to conclude that the data come from a population that is normally distributed. (Round to three decimal places as needed.) aJ00-z popodx

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The data shown below represent the age (in weeks) at which babies first crawl, based on a survey of 12 mothers. Complete parts (a) through (c) below.

Ages: 
52, 30, 44, 35, 47, 37, 56, 26, 37, 39, 37, 47

Click the icon to view the table of critical correlation coefficient values for normal probability plots.

(a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Choose the correct answer below.

There are four graphs labeled A, B, C, and D:

- Graph A: Displays an upward trend from left to right, showing a linear pattern with scattered blue dots.
- Graph B: Displays a downward trend from left to right, indicating a potential linear pattern with scattered blue dots.
- Graph C: Displays a strong downward linear trend with closely aligned blue dots.
- Graph D: Displays a strong upward linear trend with closely aligned blue dots.

Since the correlation between the expected z-scores and the observed data, [blank], [dropdown] the critical value [blank], it [blank] reasonable to conclude that the data come from a population that is normally distributed.

(Round to three decimal places as needed.)
Transcribed Image Text:The data shown below represent the age (in weeks) at which babies first crawl, based on a survey of 12 mothers. Complete parts (a) through (c) below. Ages: 52, 30, 44, 35, 47, 37, 56, 26, 37, 39, 37, 47 Click the icon to view the table of critical correlation coefficient values for normal probability plots. (a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Choose the correct answer below. There are four graphs labeled A, B, C, and D: - Graph A: Displays an upward trend from left to right, showing a linear pattern with scattered blue dots. - Graph B: Displays a downward trend from left to right, indicating a potential linear pattern with scattered blue dots. - Graph C: Displays a strong downward linear trend with closely aligned blue dots. - Graph D: Displays a strong upward linear trend with closely aligned blue dots. Since the correlation between the expected z-scores and the observed data, [blank], [dropdown] the critical value [blank], it [blank] reasonable to conclude that the data come from a population that is normally distributed. (Round to three decimal places as needed.)
## Critical Correlation Coefficient Values for Normal Probability Plots

This table provides critical correlation coefficient values used in assessing normal probability plots. These values are essential for determining whether a sample data set follows a normal distribution.

### Table of Critical Values

| Sample Size, n | Critical Value |
|----------------|----------------|
| 5              | 0.880          |
| 6              | 0.888          |
| 7              | 0.898          |
| 8              | 0.906          |
| 9              | 0.912          |
| 10             | 0.918          |
| 11             | 0.923          |
| 12             | 0.928          |
| 13             | 0.932          |
| 14             | 0.935          |
| 15             | 0.939          |

| Sample Size, n | Critical Value |
|----------------|----------------|
| 16             | 0.941          |
| 17             | 0.944          |
| 18             | 0.946          |
| 19             | 0.949          |
| 20             | 0.951          |
| 21             | 0.952          |
| 22             | 0.954          |
| 23             | 0.956          |
| 24             | 0.957          |
| 25             | 0.959          |
| 30             | 0.960          |

### Explanation

- **Sample Size, n:** Refers to the number of observations or data points in the sample.
- **Critical Value:** The threshold correlation coefficient. A calculated correlation above this value suggests that the sample distribution is not significantly different from a normal distribution.
Transcribed Image Text:## Critical Correlation Coefficient Values for Normal Probability Plots This table provides critical correlation coefficient values used in assessing normal probability plots. These values are essential for determining whether a sample data set follows a normal distribution. ### Table of Critical Values | Sample Size, n | Critical Value | |----------------|----------------| | 5 | 0.880 | | 6 | 0.888 | | 7 | 0.898 | | 8 | 0.906 | | 9 | 0.912 | | 10 | 0.918 | | 11 | 0.923 | | 12 | 0.928 | | 13 | 0.932 | | 14 | 0.935 | | 15 | 0.939 | | Sample Size, n | Critical Value | |----------------|----------------| | 16 | 0.941 | | 17 | 0.944 | | 18 | 0.946 | | 19 | 0.949 | | 20 | 0.951 | | 21 | 0.952 | | 22 | 0.954 | | 23 | 0.956 | | 24 | 0.957 | | 25 | 0.959 | | 30 | 0.960 | ### Explanation - **Sample Size, n:** Refers to the number of observations or data points in the sample. - **Critical Value:** The threshold correlation coefficient. A calculated correlation above this value suggests that the sample distribution is not significantly different from a normal distribution.
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