Question

In: Statistics and Probability

Please note that for all problems in this course, the standard cut-off (alpha) for a test...

Please note that for all problems in this course, the standard cut-off (alpha) for a test of significance will be .05, and you always report the exact power unless SPSS output states p=.000 (you’d report p<.001). Also, remember when hand-calculating, always use TWO decimal places so that deductions in grading won’t be due to rounding differences.

Read the scenario and pick the most appropriate nonparametric statistical test (assume several assumptions of parametric tests were violated).

  1. Imagine that marketing researchers working for a food company want to determine whether children would prefer ketchup of a different color. They develop green to compare to their standard red. Both taste the same. They have children taste both ketchups (a correlated-groups design) and rank them on a scale of 1 – 10.

Answer:

  1. A researcher is interested in whether type of music influences how much money is spent in a department store. Repeat customers are asked to turn in their receipts over the last three months to participate in the study. Each month, music varied – one month, classical music was played; another month, jazz was played, and in the third month, country was played. Average money spent per transaction for each month was compared across the three music types for each customer. (Only customers who submitted receipts for all three months were allowed to participate). Data was skewed.

Part 3 – CUMULATIVE can include theoretical, hand-calculations, and use of SPSS over any concepts covered thus far. (3 pts).

Use the following scenario to answer the next three questions:

A researcher wants to examine whether there is a relationship between gender and salary.

  1. Name the two variables and the scale of measurement for each. (2 pts)

Answer:

  1. What statistical test is most appropriate? (1 pt)

Answer:

Solutions

Expert Solution

1.Imagine that marketing researchers working for a food company want to determine whether children would prefer ketchup of a different color. They develop green to compare to their standard red. Both taste the same. They have children taste both ketchups (a correlated-groups design) and rank them on a scale of 1 – 10.

answer : Wilcoxon signed-rank test

2. A researcher is interested in whether type of music influences how much money is spent in a department store. Repeat customers are asked to turn in their receipts over the last three months to participate in the study. Each month, music varied – one month, classical music was played; another month, jazz was played, and in the third month, country was played. Average money spent per transaction for each month was compared across the three music types for each customer. (Only customers who submitted receipts for all three months were allowed to participate). Data was skewed.

answer: kruskal - wallis test

PART 3

  1. Name the two variables and the scale of measurement for each. (2 pts)

Answer: gender ( categorical- nominal/ discrete)

salary (interval/ continuous)

  1. What statistical test is most appropriate? (1 pt)

Answer: ANOVA


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