Standard Weight
What is the standard deviation of the sample mean weight?
particular variety of watermelon weighs on average £ 25.9 with a standard deviation of 1.94 pounds. Consider the sample average weight of 72 melons of this variety. Suppose that the weight of watermelons are independent.
A sample of 72 melons, have an average of 72 times the average individual. A sample of 72 melons, a variance will (ie st.dev. squared) of 72 times the individual variance. Or a sample of 72 melons will have a st.dev. by sqrt (72) times the st.dev. watermelon individual. So, the average weight of the sample will be 72 * 25.9 pounds = 1864.8 pounds. st.dev sample will be sqrt (72) * £ 1.94 = £ 16.46.
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