FinalS2l_A99

# FinalS2l_A99 - COURSE: MSCI 3710 Final Version A Print...

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COURSE: MSCI 3710 Print Name: Final Signature: Version A S.S.#: SEMESTER: Summer II 99 Seat Number: Note: Whenever question(s) are connected you may be asked to assume a result (given a value) from the previous question but this result may or may not be correct. This is to prevent you from losing points on a second question because you made a mistake on a previous question.

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Use the information in the paragraph below to answer the next five questions. A grocery store wants to learn about the preferred shopping times for different age groups. A random sample of 278 customers of the store was selected, and information was gathered on their shopping time preference and age classification. A chi-square test of independence was performed at the .05 significance level, using Excel, as shown below. Cross-tabulation Table Calculation of Chi-Square OBSERVED Description Value Age Range Morning Afternoon Evening Total χ 2 * 15.60417 18-30 25 25 57 107 p-value xxxxxxxx 31-50 25 25 42 92 Critical value 9.48773 51 and up 36 20 23 79 α 0.05 Total 86 70 122 278 df xxxxxxxx EXPECTED Age Range Morning Afternoon Evening Total 18-30 31.176 29.252 46.572 107 31-50 26.806 25.151 40.043 92 51 and up 23.018 21.597 34.385 79 Total 81 76 121 278 1. What alternative hypothesis would you use to test whether there is a relationship between age and preferred shopping time? A. Ha: The preferred shopping time is dependent upon the age range.* B. Ha: The age range is independent of the preferred shopping time. C. Ha: The three age ranges prefer a different preferred shopping time. D. Ha: Each of the three preferred shopping times is the same. E. Ha: The means of the preferred shopping times are different. 2. What is the value of the test statistic to perform the test in question #1? A. 9.48773 B. .05 C. 278 D. 15.60417 * E. .807 3. Based on the Excel output given above, what is the conclusion of the test in question #1 at the 5% significance level? A. There is sufficient evidence that the means of the preferred shopping times are not equal. B. There is insufficient evidence that age range and preferred shopping time are dependent. C. There is sufficient evidence that the three age ranges prefer the same shopping time. D. There is sufficient evidence that age range and preferred shopping time are dependent.*
E. There is insufficient evidence that the means of the preferred shopping times are not equal. 4. What is the degrees of freedom value for this chi-square test? A. 2 B. 4 * C. 6 D. 8 E. 9 5. Which of the following ranges best describes the p-value for the test in question #1? A. p-value < .005 * B. 0.005< p-value < 0.01 C. 0.01 < p-value < 0.025 D. 0.025 < p-value < 0.05 E. p-value > 0.05 The following two questions are stand-alone (not related to any other sequence) questions. 6.

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## This note was uploaded on 03/09/2011 for the course DSCI 3710 taught by Professor Dr.jay during the Spring '08 term at North Texas.

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FinalS2l_A99 - COURSE: MSCI 3710 Final Version A Print...

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