For each scenario, answer the questions and also determine which hypothesis test
ID: 3160337 • Letter: F
Question
For each scenario, answer the questions and also determine which hypothesis test is most appropriate. After selecting a test, in a few sentences explain why it is the appropriate test. Please help!
2. The following data are the weight gains, measured in pounds, of babies from birth to age 6 months. 13 babies were randomly spilit into two groups: 7 breast- led babies who were breast-fed and 6 babies who were formula-fed. The results: 10 Breast-fed babies Formula-fed babies 10 Is there evidence that the weight gains are different among the two groups? Statistical test to use One some le ie t test use this test becase tre are Sampl! 5 aah We he man s 3. Are the proportions of males and females who like women's basketball the same or not? 400 randomly selected males and 400 randomly selected females were asked about this. It was found that 42% of the males said they liked women's basketball compared to 47% of the females. Test the hypothesis that there is no relationship between gender and preference for women's basketball Statistical test to use-Sepk z 4. The average height of all 18-24 females in the U.S. is 65.5' with a standard deviation of 2.5'. A researcher, studying Native Americans (indians) suspects that the average height of this sample of people is less than that of all females in the US. She obtains a simple random sample of 25 Native Americans and finds that the average in the sample is 62.8. Is the difference statistically significant? Satistcal te t useone hmplk t Statistical test to use Ane mp
Explanation / Answer
2. t test is used to check difference of two means
The reason is that when we check means from 2 different populations , maybe having same or different number of observations t test is used as we need to calculate the pooled sample variance in the test statistic. In case we need to check the mean against a constant value then Z test can be used.
3. Again t test must be used when comparing means from 2 different populations. Reason same as above.
4. Z test is used in this case. The reason is that we know the mean and standard deviation of the population and we want to compare it with a constant value that is the mean of the sample. For sample of 25 observations we need to find sample std dev as std dev of population/sqrt(25). Then we find Z0 as difference of means upon standard deviation of sample and check for the required significance level.
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