Question

In: Statistics and Probability

The following data summarizes a study of online expenditures of groups of male and female customers...

  1. The following data summarizes a study of online expenditures of groups of male and female customers for a particular web store. The population variances are known to be equal.  
  1. (5)Test whether the average expenditures of men are higher than women using alpha 0.10.
  2. (5) Test that the standard deviation of male customers is more than $94. Use alpha = 0.10.

MALE

FEMALE

Sample mean

$352

$310

Sample standard deviation

$95

$80

Sample size

13

16

Solutions

Expert Solution

a)

1. Null and Alternative Hypothesis:

H0:  The average expenditures of men are not higher than women

H1: The average expenditures of men are higher than women

i.e.

Thus we conclude that the average expenditures of men are not higher than women

b) Test for Single Variance:


Related Solutions

Female undergraduates in randomized groups of 10 took part in a self-esteem study. The study measured...
Female undergraduates in randomized groups of 10 took part in a self-esteem study. The study measured an index of self-esteem from the point of view of competence, social acceptance, and physical attractiveness. Let x1, x2, and x3 be random variables representing the measure of self-esteem through x1(competence), x2 (social acceptance), and x3 (attractiveness). Higher index values mean a more positive influence on self-esteem. Variable Sample Size Mean x Standard Deviation s Population Mean x1 10 20.25 3.27 μ1 x2 10...
Female undergraduates in randomized groups of 10 took part in a self-esteem study. The study measured...
Female undergraduates in randomized groups of 10 took part in a self-esteem study. The study measured an index of self-esteem from the point of view of competence, social acceptance, and physical attractiveness. Let x1, x2, and x3 be random variables representing the measure of self-esteem through x1 (competence), x2 (social acceptance), and x3 (attractiveness). Higher index values mean a more positive influence on self-esteem. Variable Sample Size Mean x Standard Deviation s Population Mean x1 10 19.62 3.41 μ1 x2...
Female undergraduates in randomized groups of 14 took part in a self-esteem study. The study measured...
Female undergraduates in randomized groups of 14 took part in a self-esteem study. The study measured an index of self-esteem from the point of view of competence, social acceptance, and physical attractiveness. Let x1, x2, and x3 be random variables representing the measure of self-esteem through x1 (competence), x2 (social acceptance), and x3 (attractiveness). Higher index values mean a more positive influence on self-esteem. Variable Sample Size Mean x Standard Deviation s Population Mean x1 14 19.20 3.48 μ1 x2...
A research study investigated differences between male and female students. Based on the study results, we...
A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.6. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. What is the probability that the random sample of 100 male students has a mean GPA greater than 3.42?
20) A research study investigated differences between male and female students. Based on the study results,...
20) A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = .05. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for male students. µ = Population Mean σ =Population Standard Deviation
5) A research study investigated differences between male and female students. Based on the study results,...
5) A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 4.0 and σ = .75. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for male students. µ = Population Mean σ =Population Standard Deviation [2.5,...
The following data represent the final exam scores of 18 male students and 18 female students....
The following data represent the final exam scores of 18 male students and 18 female students. Male: 68, 68, 72, 73, 65, 74, 73, 72, 68, 65, 73, 66, 71, 68, 74, 66, 71, 65 Female: 59, 75, 70, 56, 66, 75, 68, 75, 62, 60, 73, 61, 75, 74, 58, 60, 73, 58 Is there any significant difference between the average exam scores of male and female students? Explain your answer using both confidence interval method and hypothesis test...
A large car insurance company is conducting a study of accidents for male and female drivers.
A large car insurance company is conducting a study of accidents for male and female drivers. They want to know if on average male drivers (who tend to be thought of as more aggressive drivers) have more accidents than female drivers. Data on the number of accidents in the past 5 years is collected for randomly selected drivers who are insured by this company. An analysis of the results produced the following summary statistics.Group Statistics                                        NMeanStd DeviationStd Error MeanMale322.191.710.3026Female311.231.380.2482Using α=0.01, do...
12.19. A study of 300 male and female employees in two manufacturing plants was conducted to...
12.19. A study of 300 male and female employees in two manufacturing plants was conducted to explore whether there was gender and age gap in self-esteem. The study’s participants were asked to respond to the statement "I'm happy with myself the way I am" by circling Yes or No. The study found that in in the first plant, 60% of the women and 67% of the men responded Yes. When the same statement was posed to employees in the other...
Data was collected to study the background of the people who participate in online gambling. Data...
Data was collected to study the background of the people who participate in online gambling. Data was collected to study the background of the people who participate in online gambling. Data was collected to study the background of the people who participate in online gambling. Data was collected to study the background of the people who participate in online gambling. Data was collected to study the background of the people who participate in online gambling. Data was collected to study...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT