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Part 1) City officials want to estimate support for building a new city park. A random sample of 15 city residents will be selected. Suppose that 12 residents in the sample are in favor of building a new city park. Which of the following is true about the shape of the sampling distribution for samples of size 15?
-The sampling distribution will be approximately normal because a random sample was obtained.
-The sampling distribution will be approximately normal because 15 is less than 10% of all residents in the city.
-The sampling distribution will be approximately normal because the population is normally distributed.
-The shape of the sampling distribution cannot be determined from this information.
-The shape of the sampling distribution will be bimodal because there are two possible opinions. Part 2) Why is a random sample important for sampling distributions of proportions and means?
-A random sample ensures the shape of the sampling distribution will be approximately normal. ~Random sampling results in p?and x¯ being unbiased estimators.
-Random sampling results in overarc p and line segment x being unbiased estimators.
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