o decide if a specific type of distribution is a good fit for a set of data. According to the National Diet and Nutrition Survey: Adults Aged 19 to 64, British men spend an average of 2.15 hours per day in moderate or high intensity physical activity. The standard deviation of these activity times for this sample was 3.59 hours. Can we infer that these activity times could follow a normal distribution? The following may provide an answer. a. Sketch a normal curve marking the points representing 1, 2, and 3 standard deviations above and below the mean, and calculate the values at these points using a mean of 2.15 hours and standard deviation of 3.59 hours. b. Examine the curve with your calculations. Explain why it is impossible for this distribution to be normal based on your graph and calculations. c. Considering the variable being measured, is it more likely that the distribution is skewed to the left or that it is skewed to the right? Explain why.
o decide if a specific type of distribution is a good fit for a set of data.
According to the National Diet and Nutrition Survey: Adults Aged 19 to 64, British men spend an
average of 2.15 hours per day in moderate or high intensity physical activity. The standard deviation of
these activity times for this sample was 3.59 hours. Can we infer that these activity times could follow a
a. Sketch a normal curve marking the points representing 1, 2, and 3 standard deviations above and below
the mean, and calculate the values at these points using a mean of 2.15 hours and standard deviation
of 3.59 hours.
b. Examine the curve with your calculations. Explain why it is impossible for this distribution to be
normal based on your graph and calculations.
c. Considering the variable being measured, is it more likely that the distribution is skewed to the left or
that it is skewed to the right? Explain why.
d. Suppose that the standard deviation for this sample was 0.70 hours instead of 3.59 hours, which make
it numerically possible for the distribution to be normal. Again, considering the variable being
measured, explain why the normal distribution is still not a logical choice for this distribution.
e. In your opinion, is there any difference between the term statistics and statistic?
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