f) Find 3 and the power of the test for the hypothesis Ho: P₁-P2-0 vs H₁: P₁-P2 = 100. at the significance level a -0.01.
f) Find 3 and the power of the test for the hypothesis Ho: P₁-P2-0 vs H₁: P₁-P2 = 100. at the significance level a -0.01.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
just f please
![Frequency
Frequency
0 3
15
0
חחח
חח
Glodo
0
0
500
500
muhalip.com
Use the significance level a = 0.05.
e)
Student
x1
Do the test of the hypothesis
Use the significance level a = 0.01.
f)
Non-student
L did
1000
1000
at the significance level a = 0.01.
x2
a)
mean, SD for each group x1 (Student) and x2 (Non-student).
b)
Let us denote #₁= mean for x1 (Student) and #2 = mean for x2 (Non-student). Calculate
95% confidence intervals for each # and #2. Give interpretations of the confidence intervals.
c)
Calculate 95% confidence intervals for the difference of means 1-2. Give an interpretation
of the confidence interval.
d) [10 marks] Do the test of the hypothesis
Ho: P₁ = P2 vs H₁ : P₁ P2-
1500
Ho: P1 P2 vs H₁: ₁ > 2.
Find 3 and the power of the test for the hypothesis
1500
Ho: P₁-P2=0 vs H₁ : ₁ - 2 = 100.
2000
Calculate sample size,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2e65f2-c472-45bf-885c-00dffce84016%2F64c5d8ed-b7e3-4d83-9fd2-baa6fe364e7d%2Fa6bvhdy_processed.png&w=3840&q=75)
Transcribed Image Text:Frequency
Frequency
0 3
15
0
חחח
חח
Glodo
0
0
500
500
muhalip.com
Use the significance level a = 0.05.
e)
Student
x1
Do the test of the hypothesis
Use the significance level a = 0.01.
f)
Non-student
L did
1000
1000
at the significance level a = 0.01.
x2
a)
mean, SD for each group x1 (Student) and x2 (Non-student).
b)
Let us denote #₁= mean for x1 (Student) and #2 = mean for x2 (Non-student). Calculate
95% confidence intervals for each # and #2. Give interpretations of the confidence intervals.
c)
Calculate 95% confidence intervals for the difference of means 1-2. Give an interpretation
of the confidence interval.
d) [10 marks] Do the test of the hypothesis
Ho: P₁ = P2 vs H₁ : P₁ P2-
1500
Ho: P1 P2 vs H₁: ₁ > 2.
Find 3 and the power of the test for the hypothesis
1500
Ho: P₁-P2=0 vs H₁ : ₁ - 2 = 100.
2000
Calculate sample size,
![Credit Card Balance Data
A data frame with 400 observations on a number of variables.
• Income: Income in $1,000's
• Limit: Credit limit
. Rating: Credit rating
• Cards: Number of credit cards
• Age: Age in years
• Education: Education in years
• Own: A factor with levels No and Yes indicating whether the individual owns a home
• Student: A factor with levels No and Yes indicating whether the individual is a student
• Married: A factor with levels No and Yes indicating whether the individual is married
• Region: A factor with levels East, South, and West indicating the individual's geographical location
• Balance: Average credit card balance in 8.
library(tidyr)
library(ISLR2)
dat <- drop_na (Credit)
head(dat)
** Income Limit Rating Cards Age Education Own Student Married Region Balance
##1 14.891 3606
2 34
11 No
Yes South
3 82
15 Yea
Yes Weat
## 2 106.025 6645
##3 104.593 7075
11 No
## 4 148.924 9504
11 Yea
283
483
514
681
## 5 55.882 4897
357
## 6 80.180 8047 569
4 71
3 36
2 68
4 77
16 No
10 No
x1 <- dat $Balance [dat$Student=="Yes"]
x2 <- dat $Balance [dat$Student=="No"]
No
Yes
No
No
No
No
West
Weat
333
903
No
No
Yes South
No South 1151
580
964
331
Use the following R code separate Balance for Student and Non-student and create histogram of Balance
for Student and Non-student. We wish to compare mean Balance of Student and Non-student group.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2e65f2-c472-45bf-885c-00dffce84016%2F64c5d8ed-b7e3-4d83-9fd2-baa6fe364e7d%2Fbqh0lzs_processed.png&w=3840&q=75)
Transcribed Image Text:Credit Card Balance Data
A data frame with 400 observations on a number of variables.
• Income: Income in $1,000's
• Limit: Credit limit
. Rating: Credit rating
• Cards: Number of credit cards
• Age: Age in years
• Education: Education in years
• Own: A factor with levels No and Yes indicating whether the individual owns a home
• Student: A factor with levels No and Yes indicating whether the individual is a student
• Married: A factor with levels No and Yes indicating whether the individual is married
• Region: A factor with levels East, South, and West indicating the individual's geographical location
• Balance: Average credit card balance in 8.
library(tidyr)
library(ISLR2)
dat <- drop_na (Credit)
head(dat)
** Income Limit Rating Cards Age Education Own Student Married Region Balance
##1 14.891 3606
2 34
11 No
Yes South
3 82
15 Yea
Yes Weat
## 2 106.025 6645
##3 104.593 7075
11 No
## 4 148.924 9504
11 Yea
283
483
514
681
## 5 55.882 4897
357
## 6 80.180 8047 569
4 71
3 36
2 68
4 77
16 No
10 No
x1 <- dat $Balance [dat$Student=="Yes"]
x2 <- dat $Balance [dat$Student=="No"]
No
Yes
No
No
No
No
West
Weat
333
903
No
No
Yes South
No South 1151
580
964
331
Use the following R code separate Balance for Student and Non-student and create histogram of Balance
for Student and Non-student. We wish to compare mean Balance of Student and Non-student group.
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