125k views
2 votes
The birthweights of newborn babies in Danaville are approximately normally distributed with a mean of 3.4 kilograms (kg) and a standard deviation of 0.6 kg. Which of the following would likely be a histogram of a random sample of birthweight?

A. 65%
B. 25%
C. 95%
D. 99%

User Dredbound
by
7.0k points

1 Answer

5 votes

Final answer:

The question seems to mix up histogram shapes with confidence interval percentages. For a normal distribution, we expect a bell-curve histogram. The options listed are percentages typically associated with the proportion of data within certain standard deviation ranges, not the shape of a histogram.

Step-by-step explanation:

The question is asking for the likely histogram of birthweights in Danaville, but the options A, B, C, and D (65%, 25%, 95%, 99%) seem to be referring to confidence intervals or percentages of the data within certain ranges, not the shape of a histogram. For a normal distribution, which is the case with the birthweights mentioned, we expect the histogram to resemble a bell curve. Typically, about 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Regarding the sample mentioned in the supporting information, we can calculate a 95% confidence interval for the mean weight of newborn elephant calves using the sample mean and sample standard deviation provided. With a sample mean of 244 lb and a sample standard deviation of 11 lb for the sample size of 50 newborn elephants, we can use the z-score associated with the 95% confidence level to find the range in which we expect the population mean to fall.

User Viktor Livakivskyi
by
8.4k points