Do men really spend more money on St. Patrick’s Day as compared to women? A recent...

Do men really spend more money on St. Patrick’s Day as compared to women? A recent survey found that men spend an average of $43.87 while women spend an average of $29.54. Assume that these data were based on a sample of 100 men and 100 women and the population standard deviations of spending for men and women are $32 and $25, respectively. Using 1% confidence level, which of the following is the correct conclusion for this test?

Reject H₀: µ₁ − µ₂≤ 0 and therefore do not conclude that on average men spend more money than women on St. Patrick’s Day.
Do not reject H₀: µ₁ − µ₂≤ 0 and therefore conclude that on average men spend more money than women on St. Patrick’s Day.
Do not reject H₀: µ₁ − µ₂≤ 0 and therefore do not conclude that on average men spend more money than women on St. Patrick’s Day.
Reject H₀: µ₁ − µ₂≤ 0 and therefore conclude that on average men spend more money than women on St. Patrick’s Day.

Solutions

Expert Solution

Reject H₀: µ₁− µ₂≤ 0 and therefore conclude that on average men spend more money than women on St. Patrick’s Day.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Do women tend to spend more time on housework then men? A recent study reports the...

Do women tend to spend more time on housework then men? A recent study reports the following descriptive statistics for the number of hours spent in housework per week for men and women? Determine whether women tend to spend more time on housework than men? You are expected to perform a significance test (a= .05), obtain a 99% confidence interval and interpret your results. (10 points) identify the claim and state H0 and Ha find the critical value(s)/p-values and identify...

Do shoppers at the mall spend more money on average the day after Thanksgiving compared to...

Do shoppers at the mall spend more money on average the day after Thanksgiving compared to the day after Christmas? The 47 randomly surveyed shoppers on the day after Thanksgiving spent an average of $127. Their standard deviation was $39. The 56 randomly surveyed shoppers on the day after Christmas spent an average of $104. Their standard deviation was $34. What can be concluded at the αα = 0.10 level of significance? For this study, we should use... Select an...

Do shoppers at the mall spend less money on average the day after Thanksgiving compared to...

Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 52 randomly surveyed shoppers on the day after Thanksgiving spent an average of $132. Their standard deviation was $29. The 40 randomly surveyed shoppers on the day after Christmas spent an average of $142. Their standard deviation was $34. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an...

Do women tend to spend more time on housework than men? If so, how much more?

Question 1 (1 point) Do women tend to spend more time on housework than men? If so, how much more? A survey asked, "On average, how many hours a week do you personally spend on housework, not including childcare and leisure time activities?" The following are the responses (in hours) of 12 women and 15 men. Women: 16, 12, 10, 14, 15, 6, 11, 9, 12, 7, 12, 15 Men: 5, 3, 8, 11, 4, 3, 6, 2, 8, 12,...

According to a recent survey, women chat on their mobile phones more than do men. To...

According to a recent survey, women chat on their mobile phones more than do men. To determine if the same patterns also exist in colleges, Irina takes a random sample of 40 male students and 40 female students in her college. She finds that female students chatted for a sample average of 820 minutes per month, with a sample standard deviation of 160 minutes. Male students, on the other hand, chatted for a sample average of 760 minutes per month,...

“Are Women Really More Talkative Than Men?” is the title of a 2007 article that appeared...

“Are Women Really More Talkative Than Men?” is the title of a 2007 article that appeared in the journal Science. In the article, Mehl and colleagues report the results of a study of 396 men and women. Each par-ticipant wore a microphone that recorded every word he or she uttered. The researchers counted the number of words uttered by men and women and compared them. The data below are fictional but they re-create the pattern that Mehl and colleagues observed:...

A recent study focused on the amount of money single men and women save monthly. The...

A recent study focused on the amount of money single men and women save monthly. The information is summarized here. Assume that the population standard deviations are equal. At the 0.01 significance level, what is the conclusion about the way women and men save?

Do men score lower on average compared to women on their statistics ? scores of twelve...

Do men score lower on average compared to women on their statistics ? scores of twelve randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 71 93 55 93 81 71 90 84 65 64 75 88 Female: 83 99 87 68 64 97 75 73 68 70 99 97 Assume both follow a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance? For this study,...

Economists theorize that the recent recession has affected men more than women because men are typically...

Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 175175 men and a sample of 150150 women were drawn. In those samples, 1919 men were unemployed, and 1111 of the women were unemployed. Complete parts a and b below. a. Perform a hypothesis...

Some studies have shown that in the United States, men spend more than women on Valentine's...

Some studies have shown that in the United States, men spend more than women on Valentine's Day. A researcher wants to estimate how much more men spend by observing the amounts spent for random samples of men and women. We want to estimate the difference (µ men - µ women) using a 90% confidence interval. a) Find the AD (Anderson-Darling) for both Men and Women (using Minitab). (round to 3 decimal places) b) Report the endpoints of the 90% confidence...

Subjects