STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A recent study was conducted to investigate the duration of time required to complete a certain manual dexterity task. The reported mean was 10.2 seconds with a standard deviation of 16.0 seconds. Suppose the reported values are the true mean and standard deviation for the population of subjects in the study. If a random sample of 144 subjects is selected from the population, what is the approximate probability that the mean of the sample will be more than 11.0 seconds?
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0.1151
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0.2743
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0.7257
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0.8849
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Based on the values of the true mean and true standard deviation, it can be concluded that the population distribution is not normal and therefore the probability cannot be calculated.
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Explanation:
Detailed explanation-1: -Answer and Explanation: For a given population, a mean that does not vary from sample to sample is the distribution of the population.
Detailed explanation-2: -1) We must have a simple random sample (SRS); 2) the sample size must be less than 10% of the population; 3) the observations must be independent; and 4) the sample size must be large enough so that both np > 10 and n(1-p) >10, in which the true proportion (or probability) possessing the attribute of interest is p.
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