The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 50 male consumers was $132.48, and the average expenditure in a sample survey of 34 female consumers was $65.27. Based on past surveys, the standard deviation for male consumers is assumed to be $32, and the standard deviation for female consumers is assumed to be $16. The z value is 2.576. a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females? b. At 99% confidence, what is the margin of error? c. Develop a 99% confidence interval for the difference between the two population means. .... to ....
a)
point estimate of the difference between the population mean
expenditure for males and the population mean expenditure for
females = difference in sample means = x̅1 - x̅2 =
132.48 - 65.27 =
67.21
b)
sample #1 -------> male
mean of sample 1, x̅1= 132.48
population std dev of sample 1, σ1 =
32
size of sample 1, n1= 50
sample #2 ---------> female
mean of sample 2, x̅2= 65.27
population std dev of sample 2, σ2 =
16
size of sample 2, n2= 34
std error , SE = √(σ1²/n1+σ2²/n2) =
5.2924
margin of error, E = Z*SE = 2.576
* 5.292 =
13.6323
c)
difference of means = x̅1 - x̅2 = 132.48
- 65.27 = 67.210
confidence interval is
Interval Lower Limit= (x̅1 - x̅2) - E =
67.210 - 13.632 =
53.5777
Interval Upper Limit= (x̅1 - x̅2) + E =
67.210 + 13.632 =
80.8423
a 99% confidence interval for the difference between the
two population means ( 53.5777 , 80.8423)
The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006)....
The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $135.67, and the average expenditure in a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be...
The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 46 male consumers was $133.35, and the average expenditure in a sample survey of 36 female consumers was $63.07. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be...
eBook The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for Round your answers to 2 decimal places. a. What is the point estimate of the difference between the population mean expenditure for males...
The average expenditure on Valentine's Day was expected to be $100.89 USA Today, February 13, 2006). Do male and se ale co s mers drer in the amounts they spen The rage expendere In sample su vey of 58 male consumers was 133, and the average expenditure i sample survey of 35 female consumers was se. Based on past survey, the standard de ation for nale corres assumed to be $35, and the standard deviation for female consumers is assumed...
Check My Work eBook The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 46 male consumers was $139.52, and the average expenditure in a sample survey of 37 female consumers was $68.83. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers...
The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 48 male consumers was $139.5, and the average expenditure in a sample survey of 37 female consumers was $65.76. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be...
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 48 male consumers was $135.67, and the average expenditure in a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $38, and the standard deviation for female consumers is assumed to be $24. a. What...
he USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 50 male consumers was $135.67, and the average expenditure in a sample survey of 36 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $33, and the standard deviation for female consumers is assumed to be $22. What is...
Check My Work The USA Today reports that the average expenditure on Valentine's Day is $100.89 Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 42 male consumers was $135.67, and the average expenditure in a sample survey of 35 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be...
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $135.67, and the average expenditure in a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $39, and the standard deviation for female consumers is assumed to be $17. 1.What is...