Homework Help is Here – Start Your Trial Now!
Math
Statistics
This is the third time I am submitting.  I need to start with d and all those after that.   Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.314 0.280 0.340 0.248 0.367 0.269 y 3.2 7.4 4.0 8.6 3.1 11.1 (a) Verify that Σx = 1.818, Σy = 37.4, Σx2 = 0.56115, Σy2 = 287.78, Σxy = 10.6932, and r ≈ -0.852. Σx   Σy   Σx2   Σy2   Σxy   r   (b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.) t   critical t ±   Conclusion Reject the null hypothesis, there is sufficient evidence that ρ differs from 0.Reject the null hypothesis, there is insufficient evidence that ρ differs from 0.    Fail to reject the null hypothesis, there is insufficient evidence that ρ differs from 0.Fail to reject the null hypothesis, there is sufficient evidence that ρ differs from 0. (c) Verify that Se ≈ 1.9362, a ≈ 25.038, and b ≈ -62.063. Se   a   b   (d) Find the predicted percentage  of strikeouts for a player with an x = 0.312 batting average. (Use 2 decimal places.) %(e) Find a 95% confidence interval for y when x = 0.312. (Use 2 decimal places.) lower limit  % upper limit  % (f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t   critical t ±   Conclusion Reject the null hypothesis, there is sufficient evidence that β differs from 0.Reject the null hypothesis, there is insufficient evidence that β differs from 0.    Fail to reject the null hypothesis, there is insufficient evidence that β differs from 0.Fail to reject the null hypothesis, there is sufficient evidence that β differs from 0. (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit   upper limit   Interpretation For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidence interval.    For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside the confidence interval.   check_circle Expert Answer thumb_up   thumb_down Step 1 Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved. Step 2   Step 3   Step 4   Step 5   Step 6 c)     Step 7   Step 8   Step 9   Was this solution helpful? 0 thumb_up

This is the third time I am submitting.  I need to start with d and all those after that.   Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.314 0.280 0.340 0.248 0.367 0.269 y 3.2 7.4 4.0 8.6 3.1 11.1 (a) Verify that Σx = 1.818, Σy = 37.4, Σx2 = 0.56115, Σy2 = 287.78, Σxy = 10.6932, and r ≈ -0.852. Σx   Σy   Σx2   Σy2   Σxy   r   (b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.) t   critical t ±   Conclusion Reject the null hypothesis, there is sufficient evidence that ρ differs from 0.Reject the null hypothesis, there is insufficient evidence that ρ differs from 0.    Fail to reject the null hypothesis, there is insufficient evidence that ρ differs from 0.Fail to reject the null hypothesis, there is sufficient evidence that ρ differs from 0. (c) Verify that Se ≈ 1.9362, a ≈ 25.038, and b ≈ -62.063. Se   a   b   (d) Find the predicted percentage  of strikeouts for a player with an x = 0.312 batting average. (Use 2 decimal places.) %(e) Find a 95% confidence interval for y when x = 0.312. (Use 2 decimal places.) lower limit  % upper limit  % (f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t   critical t ±   Conclusion Reject the null hypothesis, there is sufficient evidence that β differs from 0.Reject the null hypothesis, there is insufficient evidence that β differs from 0.    Fail to reject the null hypothesis, there is insufficient evidence that β differs from 0.Fail to reject the null hypothesis, there is sufficient evidence that β differs from 0. (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit   upper limit   Interpretation For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidence interval.    For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside the confidence interval.   check_circle Expert Answer thumb_up   thumb_down Step 1 Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved. Step 2   Step 3   Step 4   Step 5   Step 6 c)     Step 7   Step 8   Step 9   Was this solution helpful? 0 thumb_up

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
See similar textbooks
icon
Related questions
Question

This is the third time I am submitting.  I need to start with d and all those after that.

 

Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information.

x 0.314 0.280 0.340 0.248 0.367 0.269
y 3.2 7.4 4.0 8.6 3.1 11.1
(a) Verify that Σx = 1.818, Σy = 37.4, Σx2 = 0.56115, Σy2 = 287.78, Σxy = 10.6932, and r ≈ -0.852.
Σx  
Σy  
Σx2  
Σy2  
Σxy  
r  

(b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.)
t  
critical t ±  
Conclusion
Reject the null hypothesis, there is sufficient evidence that ρ differs from 0.Reject the null hypothesis, there is insufficient evidence that ρ differs from 0.    Fail to reject the null hypothesis, there is insufficient evidence that ρ differs from 0.Fail to reject the null hypothesis, there is sufficient evidence that ρ differs from 0.


(c) Verify that Se ≈ 1.9362, a ≈ 25.038, and b ≈ -62.063.
Se  
a  
b  

(d) Find the predicted percentage  of strikeouts for a player with an x = 0.312 batting average. (Use 2 decimal places.)
 %

(e) Find a 95% confidence interval for y when x = 0.312. (Use 2 decimal places.)
lower limit  %
upper limit  %

(f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.)
t  
critical t ±  
Conclusion
Reject the null hypothesis, there is sufficient evidence that β differs from 0.Reject the null hypothesis, there is insufficient evidence that β differs from 0.    Fail to reject the null hypothesis, there is insufficient evidence that β differs from 0.Fail to reject the null hypothesis, there is sufficient evidence that β differs from 0.


(g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.)
lower limit  
upper limit  
Interpretation
For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidence interval.    For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside the confidence interval.

 

check_circle

Expert Answer

thumb_up
 
thumb_down
Step 1

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

Step 2

 

Step 3

 

Step 4

 

Step 5

 

Step 6

c)

 

 

Step 7

 

Step 8

 

Step 9

 

Was this solution helpful?

0
thumb_up
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS