STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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In a national study on transportation patterns, 1, 000 randomly selected adults will be asked the question:How many trips per week do you make to the grocery store? The sample mean will be computed. Let µ denote the population mean response to the question if everyone in the population is to be asked the question. Is the sample mean x unbiased for estimating µ?
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Yes, because for random samples the mean (expected value) of the sample mean x is equal to the population mean µ.
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Yes, because with a sample size of 1, 000 the standard deviation of the sample mean x is small.
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Yes, because the wording of the question is not biased.
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No, because the sample mean x does not always equal the population mean µ.
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No, because number of trips to the grocery story is not normally distributed so the mean (expected value) of the sample mean x does not equal the population mean µ.
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Explanation:
Detailed explanation-1: -There is about a 25% chance that a single jar will contain less than 16 ounces of peanuts.
Detailed explanation-2: -The central limit theorem states that the sampling distribution of the mean will always follow a normal distribution under the following conditions: The sample size is sufficiently large. This condition is usually met if the sample size is n ≥ 30.
There is 1 question to complete.