Use the sample mean(78.5)and sample standard deviation (12.3671)in your calculations below. Use appropriate symbols throughout. What is the z score for the student who had an overall grade average of 70? If someone had a Z-score of 1.85, what would their overall grade average be?

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Use the sample mean(78.5)and sample standard deviation (12.3671)in your calculations below. Use appropriate symbols throughout. What is the z score for the student who had an overall grade average of 70? If someone had a Z-score of 1.85, what would their overall grade average be?
**Scenario:** Two researchers are examining academic success using the same set of 10 high school student participants. However, each researcher measures academic success differently. Researcher 1 assesses academic success by asking participants to self-report the letter grade they typically receive on the standard A through F scale. Researcher 2 evaluates academic success by accessing the students' academic records and retrieving their overall grade average from the school's system. The participants' scores are presented in the table below.

| Researcher 1: Typical Letter Grade | Researcher 2: Overall Grade Average |
|------------------------------------|-------------------------------------|
| B                                  | 85                                  |
| A                                  | 96                                  |
| C                                  | 75                                  |
| B                                  | 86                                  |
| A                                  | 90                                  |
| D                                  | 60                                  |
| D                                  | 59                                  |
| B                                  | 84                                  |
| B                                  | 80                                  |
| C                                  | 70                                  |
Transcribed Image Text:**Scenario:** Two researchers are examining academic success using the same set of 10 high school student participants. However, each researcher measures academic success differently. Researcher 1 assesses academic success by asking participants to self-report the letter grade they typically receive on the standard A through F scale. Researcher 2 evaluates academic success by accessing the students' academic records and retrieving their overall grade average from the school's system. The participants' scores are presented in the table below. | Researcher 1: Typical Letter Grade | Researcher 2: Overall Grade Average | |------------------------------------|-------------------------------------| | B | 85 | | A | 96 | | C | 75 | | B | 86 | | A | 90 | | D | 60 | | D | 59 | | B | 84 | | B | 80 | | C | 70 |
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Given that:

top enclose x equals 78.5 space s a m p l e space m e a n space
s equals 12.3671 space s a m p l e space s tan d a r d space d e v i a t i o n space

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