### State the hypotheses to test the main effects of gender

Assignment Help Basic Statistics
##### Reference no: EM13951224

1. Review the movie data in the following table.

 Gender Trailer Type Ratings Sample Size Mean 1 2 3 4 5 Male A 8 7 8 6 4 5 6.6 Male B 4 6 4 5 4 5 4.6 Female A 3 4 1 2 4 5 2.8 Female B 6 7 5 4 7 5 5.8

State the hypotheses to test the main effects of gender.

State the hypotheses to test the main effects of trailer type.

Calculate the test statistic and p-value to test the main effects of gender.

Calculate the test statistic and p-value to test the main effects of trailer type.

State the conclusion of both these tests at the 0.05 level of significance.

2. Given the following data where patients with high blood pressure are given a drug that is thought to lower their blood pressure. The before amounts represent their blood pressure before taking the medicine. The after amounts represent their blood pressure after taking the medicine for three months:

 Subject Before After 1 140 140 2 148 140 3 146 138 4 154 152 5 142 144 6 151 148 7 140 138 8 148 146 9 146 148 10 154 150 11 142 140 12 151 148 13 153 150

State why a sign test for matched pairs would be appropriate for this example.

Set up the hypotheses to determine if the claim is that the medicine helps to reduce blood pressure.

Calculate the test statistic and p-value for this example.

What would your conclusion be at the 0.05 level of significance?

3. The number of offspring that female blue whales have follows a skewed right distribution. Fifty years ago, researchers tagged ten female blue whales from birth and are counted how many offspring each had over their lifetime. Now researchers want to get similar data to determine if the average number of offspring may be decreasing due to global warming or other environmental changes.

For this example, discuss why an approach using nonparametric statistics would be appropriate.

For this example, what specific test might you use to test whether the average number of offspring has changed over the years? Why would you use this specific type of test?

Describe a brief scenario where you may need to use nonparametric statistics in your daily life.

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