Question

In: Statistics and Probability

Match each statistic with the scenario for which it is appropriate. Donny scored 82 on his...

Match each statistic with the scenario for which it is appropriate.

Donny scored 82 on his psychology test. If he wants to know the probability of obtaining a score greater than 82, which statistic should he use?

      [ Choose ]            t-test for related samples            z-score            t-test for independent samples      

Marian found that the average height of female students in her psychology class was 63 inches with a standard deviation of 2.2. Which statistic should she use to determine if the difference between her classmates' average height and the population mean of female adults (Mean = 64 inches; standard deviation = 3.5) is statistically significant.

      [ Choose ]            t-test for related samples            z-score            t-test for independent samples      

Luis wanted to test the effects of a new fertilizer on his house plants. He randomly assigned the plants to two groups: (a) new fertilizer, and (b) old fertilizer. Which statistic should he use to determine which fertilizer produced the best results?

      [ Choose ]            t-test for related samples            z-score            t-test for independent samples      

Marjoe breeds German shepherds and trains them to work as service animals for people with disabilities. He is testing the effects of a new training technique on male and female puppies. When a litter is born, he uses the old technique to train them for four weeks and then tests them. For the following four weeks, he trains them using the new technique. He tests them again so that he can compare the scores they attained after the old training to those they attain after the new training. Which test statistic should he use to determine whether the new training is better than the old training?

      [ Choose ]            t-test for related samples            z-score            t-test for independent samples      

Solutions

Expert Solution

1)Donny scored 82 on his psychology test. If he wants to know the probability of obtaining a score greater than 82, which statistic should he use? --z score

2_)

Marian found that the average height of female students in her psychology class was 63 inches with a standard deviation of 2.2. Which statistic should she use to determine if the difference between her classmates' average height and the population mean of female adults (Mean = 64 inches; standard deviation = 3.5) is statistically significant. --- z-score

3)

Luis wanted to test the effects of a new fertilizer on his house plants. He randomly assigned the plants to two groups: (a) new fertilizer, and (b) old fertilizer. Which statistic should he use to determine which fertilizer produced the best results?

t-test for independent samples

4)

Marjoe breeds German shepherds and trains them to work as service animals for people with disabilities. He is testing the effects of a new training technique on male and female puppies. When a litter is born, he uses the old technique to train them for four weeks and then tests them. For the following four weeks, he trains them using the new technique. He tests them again so that he can compare the scores they attained after the old training to those they attain after the new training. Which test statistic should he use to determine whether the new training is better than the old training?   t-test for related samples


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