# Question

For humans, gestation periods are normally distributed with a mean of 266 days and a standard deviation of 16 days. Suppose that you observe the gestation periods for a sample of nine humans.

a. Theoretically, what are the mean and standard deviation of all possible sample means?

b. Use the technology of your choice to simulate 2000 samples of nine human gestation periods each.

c. Determine the mean of each of the 2000 samples you obtained in part (b).

d. Roughly what would you expect the mean and standard deviation of the 2000 sample means you obtained in part (c) to be? Explain your answers.

e. Determine the mean and standard deviation of the 2000 sample means you obtained in part (c).

f. Compare your answers in parts (d) and (e). Why are they different?

a. Theoretically, what are the mean and standard deviation of all possible sample means?

b. Use the technology of your choice to simulate 2000 samples of nine human gestation periods each.

c. Determine the mean of each of the 2000 samples you obtained in part (b).

d. Roughly what would you expect the mean and standard deviation of the 2000 sample means you obtained in part (c) to be? Explain your answers.

e. Determine the mean and standard deviation of the 2000 sample means you obtained in part (c).

f. Compare your answers in parts (d) and (e). Why are they different?

## Answer to relevant Questions

Desert Samaritan Hospital in Mesa, Arizona, keeps records of emergency room traffic. Those records reveal that the times between arriving patients have a special type of reverse-J-shaped distribution called an exponential ...A variable of a population has mean μ and standard deviation σ. For a large sample size n, answer the following questions. a. Identify the distribution of x-bar. b. Does your answer to part (a) depend on n being large? ...B. Ciochetti et al. studied mortgage loans in the article "A Proportional Hazards Model of Commercial Mortgage Default with Originator Bias" (Journal of Real Estate and Economics, Vol. 27, No. 1, pp. 5-23). According to the ...Population data: 2, 3, 5, 7, 8. a. Find the mean, μ, of the variable. b. For each of the possible sample sizes, construct a table similar to Table 7.2 on page 281 and draw a dotplot for the sampling distribution of the ...Refer to Problem 10. In problem In the Southern Ocean food web, the krill species Euphausia superba is the most important prey species for many marine predators, from seabirds to the largest whales. Body lengths of the ...Post your question

0