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
- 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)
- The test statistic ?t or z = (please show your answer to 3
decimal places.)
- The p-value = (Please show your answer to 4 decimal
places.)
- The p-value is... ? > ≤ α
- Based on this, we should... Select an answer...reject/ fail to
reject/ accept the null hypothesis.
- 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.