1a) Work Time Lost due to Accidents At a large company, the Director of Research found that the average work time lost by employees due to accidents was 97 hours per year. She used a random sample of 22 employees. The standard deviation of the sample was 5.8 hours. Estimate the population mean for the number of hours lost due to accidents for the company, using a 90% confidence interval. Assume the variable is normally distributed. Use a graphing calculator and round the answers to the nearest whole number. _ < μ < _ 1b) Hospital Noise Levels For a sample of 26 operating rooms taken in a hospital study, the mean noise level was 43.9 decibels, and the standard deviation was 8.9. Find the 97% confidence interval of the true mean of the noise levels in the operating rooms. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place. _ < μ < _ 1c) Unhealthy Days in Cities The number of unhealthy days based on the AQI (Air Quality Index) for a random sample of metropolitan areas is shown. Construct an 84% confidence interval based on the data. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place. 61 50 5 27 29 16 0 39 _ < μ < _ 1d) Survey on Politics In a study, 68% of 903 randomly selected adults said they believe the Republicans favour the rich. If the margin of error was 2 percentage points, what was the confidence level used for the proportion? Round the intermediate calculations to four decimal places, round the z value to two decimal places, and round the final answer to the nearest whole number. The confidence level is ___% . This is a single question and please answer all parts. Thanks.

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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1a) Work Time Lost due to Accidents At a large company, the Director of Research found that the average work time lost by employees due to accidents was 97 hours per year. She used a random sample of 22 employees. The standard deviation of the sample was 5.8 hours. Estimate the population mean for the number of hours lost due to accidents for the company, using a 90% confidence interval. Assume the variable is normally distributed. Use a graphing calculator and round the answers to the nearest whole number.

___ < μ < ___

1b) Hospital Noise Levels For a sample of 26 operating rooms taken in a hospital study, the mean noise level was 43.9 decibels, and the standard deviation was 8.9. Find the 97% confidence interval of the true mean of the noise levels in the operating rooms. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.

___ < μ < ___

1c) Unhealthy Days in Cities The number of unhealthy days based on the AQI (Air Quality Index) for a random sample of metropolitan areas is shown. Construct an 84% confidence interval based on the data. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.

___ < μ < ___

1d) Survey on Politics In a study, 68% of 903 randomly selected adults said they believe the Republicans favour the rich. If the margin of error was

2 percentage points, what was the confidence level used for the proportion? Round the intermediate calculations to four decimal places, round the z value to two decimal places, and round the final answer to the nearest whole number.

The confidence level is ___%
.

This is a single question and please answer all parts. Thanks.

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 + ...

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