MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
thumb_up100%
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:
\[ \text{P-value} = \quad \text{(Round to three decimal places as needed.)} \]](https://content.bartleby.com/qna-images/question/7c71094c-6a42-4b2e-b93a-0f0d489253a3/7869d736-ce99-4d42-b0a3-8bfa657b6cf7/xon53sm_processed.jpeg)
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:
\[ \text{P-value} = \quad \text{(Round to three decimal places as needed.)} \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 3 images
Knowledge Booster
Similar questions
- You want to determine if there is a difference in the number of times statistics students get asked out on dates compared to biology students. You randomly survey four statistics students and four biology students. Data are listed on the table. Statistics Biology students studentsX Y8 144 108 64 10Conduct an independent t-test to see if there is a significant difference. (Be sure to complete all 4 steps.)arrow_forwardCompute the z-score for each of the six entertainment expenses. (Round z-score calculations to 2 decimal places. Negative amounts should be indicated by a minus sign.) z157 z132 z109 z145 z125 z139 I need the last three i answered te first three myselfarrow_forwardP(-0.63<Z<1.85)=arrow_forward
- What is the relationship between R sqare and p-value?arrow_forwardThe values listed below are waiting times (in minutes) of customers at 2cdifferent banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers mayventer any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A 6.3 6.6 6.7 6.8 7.1 7.2 7.5 7.8 7.8 Bank B 4.1 5.5 5.8 6.1 6.7 7.7 7.7 8.4 9.3 10.0 Construct a 95% confidence interval for the population standard deviation at Bank Aarrow_forwardYou are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats.You sample 90 men, and 50% own cats.You sample 130 women, and 15% own cats.Find ¯p (p-bar), as a decimal, rounded to two decimal places.arrow_forward
- Given P(A and B) = 0.22, P(B) = 0.51, P(B|A) = 0.51, what is P(A)? Answer in decimal form. Round to 3 decimal places as needed.arrow_forwardBig babies: The National Health Statistics Reports described a study in which a sample of 354 one-year-old baby boys were weighed. Their mean weight was 25.8 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the a=0.05 level of significance and the P-value method with the TI-84 Plus calculator. Part 1 of 5arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman