Use the normal distribution of SAT critical reading scores for which the mean is 515 and the standard deviation is 106. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 625? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table. I (a) Approximately % of the SAT verbal scores are less than 625. (Round to two decimal places as needed.) (b) You would expect that approximately SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)

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### Problem Statement:

Use the normal distribution of SAT critical reading scores for which the mean is 515 and the standard deviation is 106. Assume the variable \( x \) is normally distributed.

1. **(a)** What percent of the SAT verbal scores are less than 625?
2. **(b)** If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550?

#### Additional Resources:
- [Click to view page 1 of the standard normal table.](#)
- [Click to view page 2 of the standard normal table.](#)

### Solution:

(a) Approximately \[ \_\_\_ \] % of the SAT verbal scores are less than 625.
(Round to two decimal places as needed.)

(b) You would expect that approximately \[ \_\_\_ \] SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)
Transcribed Image Text:### Problem Statement: Use the normal distribution of SAT critical reading scores for which the mean is 515 and the standard deviation is 106. Assume the variable \( x \) is normally distributed. 1. **(a)** What percent of the SAT verbal scores are less than 625? 2. **(b)** If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? #### Additional Resources: - [Click to view page 1 of the standard normal table.](#) - [Click to view page 2 of the standard normal table.](#) ### Solution: (a) Approximately \[ \_\_\_ \] % of the SAT verbal scores are less than 625. (Round to two decimal places as needed.) (b) You would expect that approximately \[ \_\_\_ \] SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)
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