Use the information in Ex 6.32 to find the 95% CI for the population mean LOS. **6.31 Do social robots walk or roll?**Refer to the *International Conference on Social Robotics* (Vol. 6414, 2010) for the current trend in the design of social robots (Exercise 2.78, p. 86). Recall that in a random sample of social robots obtained through a web search, 28 were built with wheels. The accompanying table shows the number of wheels on each of the 28 robots.- **a.** Estimate \(\mu\), the average number of wheels used on all social robots built with wheels, with 99% confidence. (2.50, 3.93)- **b.** Practically interpret the interval from part a.- **c.** Refer to part a. In repeated sampling, what proportion of all similarly constructed confidence intervals will contain the true mean, \(\mu\)? 99%*Source:* Based on S. Chew et al., "Do Social Robots Walk or Roll?" International Conference on Social Robotics, Vol. 6414, 2010 (adapted from Figure 2).**Table of Wheel Counts:**3, 3, 3, 3, 6, 4, 3, 3, 2, 2, 2, 2, 1, 1, 3, 3, 2, 3, 4, 4, 3, 2, 2, 2, 3, 4, 3, 2**6.32 Hospital length of stay**Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. The average LOS in the United States is 4.6 days (*Healthcare Cost and Utilization Project Statistical Brief*, December 2018). A random sample of 20 hospitals in one state had a mean LOS of 3.8 days and a standard deviation of 1.2 days.- **a.** Use a 90% confidence interval to estimate the population mean LOS for the state’s hospitals.- **b.** Interpret the interval in terms of this application.- **c.** What is meant by the phrase "90% confidence interval"?**6.33 Repair and replacement costs of water pipes**Refer to the *IHS Journal of Hydraulic Engineering* (September 2012) study of commercial pipes used

We want to construct a 95% confidence interval for the population mean

Answered: month tail Milk P milk for s er gallon…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Use the information in Ex 6.32 to find the 95% CI for the population mean LOS.

**6.31 Do social robots walk or roll?**

Refer to the *International Conference on Social Robotics* (Vol. 6414, 2010) for the current trend in the design of social robots (Exercise 2.78, p. 86). Recall that in a random sample of social robots obtained through a web search, 28 were built with wheels. The accompanying table shows the number of wheels on each of the 28 robots.

- **a.** Estimate \(\mu\), the average number of wheels used on all social robots built with wheels, with 99% confidence. (2.50, 3.93)
- **b.** Practically interpret the interval from part a.
- **c.** Refer to part a. In repeated sampling, what proportion of all similarly constructed confidence intervals will contain the true mean, \(\mu\)? 99%

*Source:* Based on S. Chew et al., "Do Social Robots Walk or Roll?" International Conference on Social Robotics, Vol. 6414, 2010 (adapted from Figure 2).

**Table of Wheel Counts:**
3, 3, 3, 3, 6, 4, 3, 3, 2, 2, 2, 2, 1, 1, 3, 3, 2, 3, 4, 4, 3, 2, 2, 2, 3, 4, 3, 2

**6.32 Hospital length of stay**

Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. The average LOS in the United States is 4.6 days (*Healthcare Cost and Utilization Project Statistical Brief*, December 2018). A random sample of 20 hospitals in one state had a mean LOS of 3.8 days and a standard deviation of 1.2 days.

- **a.** Use a 90% confidence interval to estimate the population mean LOS for the state’s hospitals.
- **b.** Interpret the interval in terms of this application.
- **c.** What is meant by the phrase "90% confidence interval"?

**6.33 Repair and replacement costs of water pipes**

Refer to the *IHS Journal of Hydraulic Engineering* (September 2012) study of commercial pipes used

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution