Gold Scenario

This discussion provides a simulated exercise using two of the most popular Chi-Square statistical tests. You are strongly encouraged to complete the textbook reading and start the MyStatLab Homework assignment before beginning this discussion. You need to be familiar with the Chi-Square distribution, its interpretation, and how results are typically calculated and reported together.

In this discussion, you are required to calculate and interpret your findings.

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Gold Round Scenario:

As the Director of Golf for the Links Group, you are trying to determine if there is a significant difference in the number of rounds of golf played based on the day of the week. So far, you’ve gathered the following sample information for 520 rounds.

Day of the Week Number of Rounds Played
Monday 124
Tuesday 74
Wednesday 104
Thursday 98
Friday 120
Now, you need to use the sample to answer these questions. For each question, the null hypothesis is that the cell categories are equal, and the significance level is .05.

Is there a significant difference in the rounds of golf played during the week? Why is your choice appropriate?
What is the critical value and number of degrees of freedom for the Chi-Square statistic?
What is your decision regarding the null hypothesis? Why is your decision appropriate?

Gold Ball Quality Scenario:

In addition to determining if there is a significant difference in the number of rounds of golf played based on the day of the week, you also have to determine which brand of “range balls” to buy for use at the driving range. You are looking for the most durable ball that will hold up for an extended period. You obtained samples of 100 golf balls from four different manufacturers, and your teaching professionals tested them for durability. The table shows the numbers of unacceptable and acceptable golf balls by manufacturer.

Durability Nike Srixon TaylorMade Titleist
Unacceptable 12 8 5 11
Acceptable 88 92 95 89
Total 100 100 100 100

At the .05 significance level, is there a difference in the durability of the range balls? Why is your decision appropriate?

Additional Instructions:

Use Excel or Statdisk to answer the questions posed in both scenarios. Remember, the focus of this discussion is understanding and interpreting two different Chi-Square tests.

To “double-check” your work, you can choose to re-create problem answers in the STAT 320 Harsha Chi Square (XLSX)Preview the document spreadsheet by entering problem data in the appropriate yellow shaded fields.

Note: For Goodness-of-Fit (Equal) data, enter the Level of Significance in cell D2; Observed data entry begins in cell C4. For Contingency Table data, enter the Level of Significance in cell I16, and Observed Frequencies data begins in cell B4.

Save your work as a file to your computer and then read the Canvas instructions on How do I embed an image in a discussion reply as a student?

Post and Discuss:

Post the image of your Excel spreadsheet or StatDisk results into the discussion area along with a narrative of your findings before the fourth day of the module week to receive full credit. Be sure to completely answer all of the questions in your narrative.

Return at least once later in the module week to provide meaningful comments to two or more of your classmates’ posts. In your response, indicate whether your answer matches your peers’ answer and if not, discuss the differences.

Do not “post and run” – making all three posts in the same visit. You need multiple visits to the discussion area to gain multiple perspectives by reading all of the posts and replies.

Review the Discussion Rubric for detailed grading information.

Preferred language style Simple (Easy vocabulary, simple grammar constructions)

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