Question

In: Statistics and Probability

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 answer...t-test for a population mean, z-test for the difference between two population proportions, z-test for a population proportion, t-test for the difference between two dependent population means, or t-test for the difference between two independent population means

  1. The null and alternative hypotheses would be:     

H0:H0:   Select an answer...μ1 or p1, ?=>≠< Select an answer...p2 or μ2 (please enter a decimal)   

H1:H1:   Select an answer...μ1 or p1, ?=>≠< Select an answer...p2 or μ2 (Please enter a decimal)

  1. The test statistic ?t or z = (please show your answer to 3 decimal places.)
  2. The p-value = (Please show your answer to 4 decimal places.)
  3. The p-value is... ? > ≤ α
  4. Based on this, we should... Select an answer...reject/ fail to reject/ accept the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is equal to the population mean amount of money that day after Christmas shoppers spend.
    • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the mean expenditure for the 47 day after Thanksgiving shoppers that were observed is more than the mean expenditure for the 56 day after Christmas shoppers that were observed.
    • The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is more than the population mean amount of money that day after Christmas shoppers spend.
    • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is more than the population mean amount of money that day after Christmas shoppers spend.

Solutions

Expert Solution


Related Solutions

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 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:...
Black Friday - the annual shopping tradition the day after Thanksgiving - is often the day...
Black Friday - the annual shopping tradition the day after Thanksgiving - is often the day which puts retailers "in the black." According to a CNN Money report, consumers spent an average of $378.84 on Black Friday in 2010 with a standard deviation of $247.23. Draw and label a normal curve which would be used to describe the Black Friday expenditures. Based on the values calculated, would it be reasonable to assume the money spent is normally distributed? It is...
"Black Friday" is the day after Thanksgiving and the traditional first day of the Christmas shopping...
"Black Friday" is the day after Thanksgiving and the traditional first day of the Christmas shopping season. Suppose a recent poll suggested that 66% of Black Friday shoppers are actually buying for themselves. A random sample of 130 Black Friday shoppers is obtained. Answer each problem using the normal approximation to the binomial distribution. (a) Find the approximate probability that fewer than 73 Black Friday shoppers are buying for themselves. (Round your answer to four decimal places.) (b) Find the...
Do consumers spend more on a trip to Target compared to Walmart? Suppose researchers interested in...
Do consumers spend more on a trip to Target compared to Walmart? Suppose researchers interested in this question collected a random sample from 80 Target customers and 85 Walmart customers by asking customers for their purchase amount as they left the stores. The 80 Target customers have the mean purchase amount $53 and the standard deviation $19. The 85 Walmart customers have the mean purchase amount $45 and the standard deviation $21. [2 points] Is the data collected from independent...
Think about the money you spend every day. You probably spend the most money at or...
Think about the money you spend every day. You probably spend the most money at or near the beginning of each month. However, after all the bills are paid, you have what are often referred to as discretionary funds. That’s money you can spend any way you wish. Please tell us on what types of things you spend that extra-or discretionary-money? How will learning the Quicken software help you determine whether you have discretionary funds, and if so, how much...
On the day after Thanksgiving, November 28, 2008, Walmart held a nationwide sale of a limited...
On the day after Thanksgiving, November 28, 2008, Walmart held a nationwide sale of a limited number of sharply discounted televisions, computers, and video game sets. The “blitz sale” had been advertised heavily in newspapers and on television. At the Valley Stream Wal-Mart store in Long Island, New York, 2,000 shoppers lined up hours before the scheduled 6:00 a.m. store opening, forming a line at a place marked by a handwritten sign: Blitz Line Starts Here. The crowd became unruly...
Black Friday – the day after Thanksgiving represents one of the biggest shopping days and marks...
Black Friday – the day after Thanksgiving represents one of the biggest shopping days and marks the first official day of Christmas shopping. However, in 2018 sales on this day were 9% lower than the previous year and represent a trend in the retail market – revenues of departmental stores have either remained stagnant or declined (Macy’s stores revenues between 2008 and 2018 stayed stagnant around $26B and JC Penny actually experienced a decline during the same period from $20B...
A survey of college students reported that they spend an average of $9.50 a day on...
A survey of college students reported that they spend an average of $9.50 a day on dinner with a standard deviation of $3. What is the probability that 100 randomly selected college students will spend less than $10.00 on average for dinner? Round your answer to 4 decimal places.
Does the average Presbyterian donate a different amount of money compared to the average Catholic in...
Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 41 randomly observed members of the Presbyterian church donated an average of $21 with a standard deviation of $5. The 44 randomly observed members of the Catholic church donated an average of $16 with a standard deviation of $10. What can be concluded at the α = 0.05 level of significance? For this study, we should use The null and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT