Do shoppers at the mall spend the same amount of money on average the day after Thanksgiving compared to the day after Christmas? The 48 randomly surveyed shoppers on the day after Thanksgiving spent an average of $139. Their standard deviation was $33. The 43 randomly surveyed shoppers on the day after Christmas spent an average of $140. Their standard deviation was $36. What can be concluded at the αα = 0.05 level of significance?For this study, we should use Select an answer t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for the difference between two dependent population means t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0: H1:The test statistic ? t z =The p-value = The p-value is ? > ≤ αBased on this, we should Select an answer accept fail to reject reject the null hypothesis.Thus, the final conclusion is that ...The results are statistically insignificant at α = 0.05, 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 α = 0.05, so there is sufficient evidence to conclude that the mean expenditure for the 48 day after Thanksgiving shoppers that were observed is a different amount of money compared to the mean expenditure for the 43 day after Christmas shoppers that were observed.The results are statistically insignificant at α = 0.05, so there is insufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is a different amount of money compared to the population mean amount of money that day after Christmas shoppers spend.The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is a different amount of money compared to the population mean amount of money that day after Christmas shoppers spend.

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Description: Do shoppers at the mall spend the same amount of money on average the day after Thanksgiving compared to the day after Christmas? The 48 randomly surveyed shoppers on the day after Thanksgiving spent an average of $139. Their standard deviation was $

x1 = 139 n1 = 48 s1 = 33 x2 = 140 n2=43 s2=36

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Do shoppers at the mall spend the same amount of money on average the day after Thanksgiving compared to the day after Christmas? The 48 randomly surveyed shoppers on the day after Thanksgiving spent an average of $139. Their standard deviation was $33. The 43 randomly surveyed shoppers on the day after Christmas spent an average of $140. Their standard deviation was $36. What can be concluded at the αα = 0.05 level of significance?

For this study, we should use Select an answer t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for the difference between two dependent population means t-test for a population mean z-test for a population proportion

The null and alternative hypotheses would be:

H0:

H1:

The test statistic ? t z =

The p-value =

The p-value is ? > ≤ α

Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically insignificant at α = 0.05, 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 α = 0.05, so there is sufficient evidence to conclude that the mean expenditure for the 48 day after Thanksgiving shoppers that were observed is a different amount of money compared to the mean expenditure for the 43 day after Christmas shoppers that were observed.
- The results are statistically insignificant at α = 0.05, so there is insufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is a different amount of money compared to the population mean amount of money that day after Christmas shoppers spend.
- The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is a different amount of money compared to the population mean amount of money that day after Christmas shoppers spend.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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