: Unit 6 AS: Hypothesis Testing: One Population & twa Population Assignment Scor

Question

: Unit 6 AS: Hypothesis Testing: One Population & twa Population Assignment Score: 0c Save Submit Assignment for Gradin 4 Question 10 of Exercise 10.0S Algorlthale eBook The averaçe 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 42 male consumers was $140, and the average expenditure in a sample survey of 36 female consumers was $69. Based on past surveys, the standard deviation for male consumers is assumed to be $30, and the standard deviation for female consumers is assumed to be $16. The z value is 2.576 Round your answers to 2 decimal places. 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 dfference between the two population means. or Grading

Explanation / Answer

sol:

X1barM=140

X2barF=69

sample size for males=n1=42

sample size for females=n2=36

s1 for males=30

s2 for females=16

z=2.576

SolutionA:

point estimate=sample mean for males-sample mean for females

=140-69

=71

ANSWER:71

SolutioNB:

margin of error

=2.576*sqrt(s1^2/n1+s2^2/n2)

=2.576sqrt(30*30/42+16*16/36)

=2.576sqrt(900/42+256/36)

=13.76

Margin of error=13.76

Solutionc:

99% confidence interval for difference in means

point estimate-margin of error,point estimate+margin of error

71-13.76,71+13.76

57.24,84.76

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