As the sample size (n) increases, the sampling distribution of the sample mean stays the same, looks more and more like a uniform distribution, or becomes more tightly clustered around the population mean? You take three 100-point exams in your statistics class and score 80, 80 and 95. The last exam is much easier than the first two, so your professor has given it less weight. The weights for the three exams are: • Exam 1: 40 % of your grade • Exam 2: 40 % of your grade • Exam 3: 20 % of your grade What is your final weighted average for the class? The finishing times, in minutes, for running marathons have an unknown distribution with mean 297 and standard deviation 32 minutes. A sample, with size n = 41, was randomly drawn from the population. What is the mean for the sample mean distribution?

Question

As the sample size (n) increases, the sampling distribution of the sample mean stays the same, looks more and more like a uniform distribution, or becomes more tightly clustered around the population mean?

You take three 100-point exams in your statistics class and score 80, 80 and 95. The last exam is much easier than the first two, so your professor has given it less weight. The weights for the
three exams are:
• Exam 1: 40 % of your grade
• Exam 2: 40 % of your grade
• Exam 3: 20 % of your grade
What is your final weighted average for the class?

The finishing times, in minutes, for running marathons have an unknown distribution with mean 297 and standard deviation 32 minutes. A sample, with size n = 41, was randomly drawn from
the population. What is the mean for the sample mean distribution?

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