Fill This Form To Receive Instant Help
Fill This Form To Receive Instant Help
Homework answers / question archive / A dietitian obtains the amounts of sugar (in centigrams) from 100 centigrams (or 1 gram) in each of 10 different cereals, including Cheerios, Corn Flakes, Fruit Loops, and 7 others
A dietitian obtains the amounts of sugar (in centigrams) from 100 centigrams (or 1 gram) in each of 10 different cereals, including Cheerios, Corn Flakes, Fruit Loops, and 7 others. Those values are listed below. Is the standard deviation of those values likely to be a good estimate of the standard deviation of the amounts of sugar in each gram of cereal consumed by the population of all Americans who eat cereal? Why or Why not?
3 24 30 47 43 7 47 13 44 39 .
What is the variance and the standard deviation?
No standard deviation is not good measure to find the standard deviation of the amounts of sugar in each gram of cereal consumed by the population because variance of the sample is not unbiased estimator of the population variance. Hence standard deviation is also not good estimate.
S^2 = n(sigma ^2)/n-1 is a unbiased estimator of variance.
The calculations of variance and standard deviation are in Excel file attached.
