Intages of to college football quarterbacks for their freshman and sophomore seasons are shown in the table below. At a=0.01, is there enough evidence Co support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below. Player 1 2 3 4 5 6 7 8 9 10 Completion percentage (freshman) 68.5 62.7 56.3 61.0 62.8 52.0 56.0 62.5 53.9 57.3 68.3 56.7 62.5 62.5 61.1 59.6 61.3 61.5 55.8 58.6 Completion percentage (sophomore) Calculate d. = -1.490 (Round to three decimal places as needed.) Calculate sa- 4.077 (Round to three decimal places as needed.) c) Find the standardized test statistic t == -1.16 (Round to two decimal places as needed.) (d) Calculate the P-value.
Intages of to college football quarterbacks for their freshman and sophomore seasons are shown in the table below. At a=0.01, is there enough evidence Co support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below. Player 1 2 3 4 5 6 7 8 9 10 Completion percentage (freshman) 68.5 62.7 56.3 61.0 62.8 52.0 56.0 62.5 53.9 57.3 68.3 56.7 62.5 62.5 61.1 59.6 61.3 61.5 55.8 58.6 Completion percentage (sophomore) Calculate d. = -1.490 (Round to three decimal places as needed.) Calculate sa- 4.077 (Round to three decimal places as needed.) c) Find the standardized test statistic t == -1.16 (Round to two decimal places as needed.) (d) Calculate the P-value.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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Calculate the P-value.
![### Pass Completion Percentages of College Football Quarterbacks
The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore seasons are shown in the table below. At \( \alpha = 0.01 \), is there enough evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below.
#### Data Table:
| Player | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|--------|------|------|------|------|------|------|------|------|------|------|
| Completion percentage (freshman) | 68.5 | 62.7 | 56.3 | 61.0 | 62.8 | 52.0 | 56.0 | 62.5 | 53.9 | 57.3 |
| Completion percentage (sophomore) | 68.3 | 56.7 | 62.5 | 61.1 | 59.6 | 61.3 | 61.5 | 55.8 | 58.6 | |
#### Calculations:
(a) **Calculate \( \bar{d} \)** (the mean of the differences between paired data):
\[ \bar{d} = -1.490 \quad \text{(Round to three decimal places as needed.)} \]
(b) **Calculate \( s_d \)** (the standard deviation of the differences between paired data):
\[ s_d = 4.077 \quad \text{(Round to three decimal places as needed.)} \]
(c) **Find the standardized test statistic \( t \)**:
\[ t = -1.16 \quad \text{(Round to two decimal places as needed.)} \]
(d) **Calculate the P-value** for the test statistic:
\[ \text{P-value} = \quad \text{(Round to three decimal places as needed.)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c71094c-6a42-4b2e-b93a-0f0d489253a3%2F7869d736-ce99-4d42-b0a3-8bfa657b6cf7%2Fxon53sm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Pass Completion Percentages of College Football Quarterbacks
The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore seasons are shown in the table below. At \( \alpha = 0.01 \), is there enough evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below.
#### Data Table:
| Player | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|--------|------|------|------|------|------|------|------|------|------|------|
| Completion percentage (freshman) | 68.5 | 62.7 | 56.3 | 61.0 | 62.8 | 52.0 | 56.0 | 62.5 | 53.9 | 57.3 |
| Completion percentage (sophomore) | 68.3 | 56.7 | 62.5 | 61.1 | 59.6 | 61.3 | 61.5 | 55.8 | 58.6 | |
#### Calculations:
(a) **Calculate \( \bar{d} \)** (the mean of the differences between paired data):
\[ \bar{d} = -1.490 \quad \text{(Round to three decimal places as needed.)} \]
(b) **Calculate \( s_d \)** (the standard deviation of the differences between paired data):
\[ s_d = 4.077 \quad \text{(Round to three decimal places as needed.)} \]
(c) **Find the standardized test statistic \( t \)**:
\[ t = -1.16 \quad \text{(Round to two decimal places as needed.)} \]
(d) **Calculate the P-value** for the test statistic:
\[ \text{P-value} = \quad \text{(Round to three decimal places as needed.)} \]
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