Assume that birth weights of babies can be modeled as a normal distribution with

Question

Assume that birth weights of babies can be modeled as a normal distribution with mean 3300 grams and standard deviation ? +570 grams. Refer to the following histograms, which display the sample mean birth weights in 1000 samples of two different sample sizes. (One histogram used one sample size, the other histogram used a different sample size, and each had 1000 trials). Which of the following COULD be the sample sizes corresponding to each histogram? 5. Histogram A: 90 Histogram B: A. Histogram A: n 5, Histogram B: n10 B. Histogram A: n 10, Histogram B: n 5 C. Histogram A: n 10, Histogram B: n 10 D. None of these are possible.

Explanation / Answer

When sample size increases , margin of error Decrease,

Hence spread of histogram is less.

Histogram A has less spread.

Hence option B) histogram A n=10, B n=5 is correct

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