A manager of a small store wanted to install signs around the store saying, “Shoplifting is a crime!” However, she wanted to make sure this would not affect sales. To test whether the signs would affect how much the customers purchased, she displayed the signs every other Wednesday for 8 weeks, for a total of 4 days displayed. She recorded the store’s sales for those four Wednesdays, then recorded the store’s sales for the four alternate Wednesdays, when the signs were not displayed. On the Wednesdays with the sign, the mean level of sales was 79 with a standard deviation of 4.32. On the Wednesdays without the sign, the mean level of sales was 85 with a standard deviation of 3.46. Do these results suggest that customers' purchasing is affected when the signs are displayed? Use the .05 significance level. (Hint: pooled variance estimate = 15.34). What cutoff score(s) should be used? ±2.036 ±2.447 +1.943 –1.860
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A manager of a small store wanted to install signs around the store saying, “Shoplifting is a crime!” However, she wanted to make sure this would not affect sales. To test whether the signs would affect how much the customers purchased, she displayed the signs every other Wednesday for 8 weeks, for a total of 4 days displayed. She recorded the store’s sales for those four Wednesdays, then recorded the store’s sales for the four alternate Wednesdays, when the signs were not displayed. On the Wednesdays with the sign, the mean level of sales was 79 with a standard deviation of 4.32. On the Wednesdays without the sign, the mean level of sales was 85 with a standard deviation of 3.46. Do these results suggest that customers' purchasing is affected when the signs are displayed? Use the .05 significance level. (Hint: pooled variance estimate = 15.34).
What cutoff score(s) should be used?
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