Amanda believes that large doses of Vitamin C can prevent cancer. She gives 30 r

Question

Amanda believes that large doses of Vitamin C can prevent cancer. She gives 30 rats a 6 month diet high in Vitamin C. Another 30 rats get a diet with moderate doses of Vitamin C, and a third group of 30 rats get no Vitamin C. After the 6 month trial she injects all rats with a carcinogen, waits 1 year, and then measures the number of cancer cells in their bodies after 1 year. Which statistic should Amanda use to analyze the data?

    a. Chi-Square

    b. an ordinal statistic

    c. t-test

    d. One-Way ANOVA

    e. Two-Way ANOVA

Sara believes that a cup of coffee makes you drive better in the morning. She separates a group of 100 participants into two groups of 50. Both groups are tested on a driving test at 7am. One group receives coffee before the test and the other receives no coffee before the test. The test measures how fast they can drive through a set of cones without making a mistake. They can get a score of -100 to +100 on the driving test. Which statistic should Sara use to analyze the data?

    a. Chi-Square

    b. an ordinal statistic

    c. t-test

    d. One-Way ANOVA

    e. Two-Way ANOVA

4. Gary asks a group of freshman and a group of seniors if they approve of the war in Iraq. He then compares the number of freshman who said "yes" to his question to the number of seniors who said "yes" to his question. Which statistic should Gary use to analyze the data?

    a. Chi-Square

    b. an ordinal statistic

    c. t-test

    d. One-Way ANOVA

    e. Two-Way ANOVA

5. Alison asks a group of male college students and a group of female college students to rank their top three ice cream flavors. She then compares their choices across gender. Which statistic should you use to analyze the data?

    a. Chi-Square

    b. an ordinal statistic

    c. t-test

    d. One-Way ANOVA

    e. Two-Way ANOVA

Explanation / Answer

Amanda believes that large doses of Vitamin C can prevent cancer. She gives 30 rats a 6 month diet high in Vitamin C. Another 30 rats get a diet with moderate doses of Vitamin C, and a third group of 30 rats get no Vitamin C. After the 6 month trial she injects all rats with a carcinogen, waits 1 year, and then measures the number of cancer cells in their bodies after 1 year. Which statistic should Amanda use to analyze the data?

Answer. This is a case of a one way ANOVA test.

The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of two or more independent (unrelated) groups

Also as there is only one independent variable here that is the amount of vitamin C in their diet, this is a one way ANOVA.

Therefore one way ANOVA is the correct answer here.

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