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A recent poll asked people whether they supported passing a constitutional amendment to ban burning of...

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Basic Math

  1. A recent poll asked people whether they supported passing aconstitutional amendment to ban burning of the national flag usinga 1 to 100 scale.”1” means that they do not support passing theamendment at all and “100” means they support it completely. Thesample was random (from the population of US adults) and included986 people, 400 of whom were women, and 586 were men. The meanscore for women was 80.6, while the mean score for men was77.6.
  1. Is the difference in means test statistically significant atthe 5% level? Assume the standard deviation for both men and womenis 3.5. Show your work.
  2. If the standard deviation for men is 1.4 and the standarddeviation for women is 1.2, is the difference in meansstatistically significant at the 5% level? Show your work.


2- Why are large sample sizes usually better for making inferencesabout populations? Explain your answer (on the rest of thispage).

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