In Exercises 110-140, use the population of{2, 3, 5, 9} of the lengths of hospital stay(days) of mothers who gave birth, foundfrom Data Set 6 "Births" in Appendix B.Assume that random samples of size n = 2are selected with replacement.11. SAMPLING DISTRIBUTION OFTHE SAMPLE MEANa. After identifying the 16 differentpossible samples, find the meanof each sample, and then con-struct a table representing thesampling distribution of the sam-ple mean. In the table, combinevalues of the sample mean thatare the same. (Hint: See Table 6-3 in Example 20.)b. Compare the mean of the popu-lation {2, 3, 5, 9} to the mean ofthe sampling distribution of thesample mean.c. Do the sample means target thevalue of the population mean? Ingeneral, do sample means makegood estimators of populationmeans? Why or why not?

The population is given as: 2, 3, 5, 9. Thus the population size, N=4 A sample size 2 (i.e., n=2) is…

Answered: In Exercises 110-140, use the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster. To determine her breathing rate, Miranda divides up her day into three parts: morning, afternoon, and evening. She then measures her breathing rate at 2 randomly selected times during each part of the day. What type of sampling is used? Cluster O Stratified Convenience O Systematic Random
According to a recent survey, 53% of adults say they never wear a helmet when riding a bike. Suppose we randomly select 180 adults and find 59% of the sample say they never wear a helmet when riding a bike. Which of the following correctly describes the distribution for the proportion of adults in the sample who never wear a helmet when riding a bike? A. pˆ ~ AN(0.59, 0.0367) B. X ~ AN(95.4, 6.6961) C. pˆ ~ AN(0.53, 0.0014) D. pˆ ~ AN(0.53, 0.0372)
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Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…
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Let’s examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll a ten-sided die two times (or equivalently, roll two ten-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. The true mean (μ) of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 is , and the true standard deviation (σ) is . The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (10) times the number of possibilities on the second roll (also 10), or 10(10) = 100. If you collected all of these possible samples, the mean of your sampling distribution of means (μMM) would equal , and the standard deviation of your sampling distribution of means (that is, the…
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 9, 8, 8, 10, 10, 9, 9, 10, 6, 6, 9, 8, 8 What can be concluded at the α = 0.01 level of significance? The p-value = _______ (Please show your answer to 4 decimal places.) The p-value is _______ α Based on this, we should _________ the null hypothesis.
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