The mayor is interested in finding a 99% confidence interval for the mean number of pounds of trash perperson per week that is generated in the city. The study included 205 residents whose mean number ofpounds of trash generated per person per week was 33.1 pounds and the standard deviation was 8.7pounds. Round answers to 3 decimal places where possible.a. To compute the confidence interval use a tOrdistribution.b. With 99% confidence the population mean number of pounds per person per week is betweenandpounds.c. If many groups of 205 randomly selected members are studied, then a different confidence intervalwould be produced from each group. Aboutpercent of these confidence intervals will containthe true population mean number of pounds of trash generated per person per week and aboutpercent will not contain the true population mean number of pounds of trash generated per person perweek.

The sample size is 205, the sample mean is 33.1 and sample standard deviation is 8.7.

Answered: The mayor is interested in finding a…

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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Mrs. Gallas wanted to estimate the average weight of an Oreo cookie to determine if theaverage weight was less than advertised. She selected a random sample of 30 cookies andfound the weight of each cookie (in grams). The mean weight was = 11.1921 grams with astandard deviation of sx = 0.0817 grams. Make a 95% confidence interval to estimate the truemean weight of an Oreo. 1. What is the formula for calculating the standard deviation of the sampling distribution of x? 2.What condition must be met to use this formula? Has it been met?
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Karl Pearson developed a measure that describes the skewness of a distribution, called the coefficient of skewness. The formula is Skewness = 3 (mean-median)/standard deviation. The value of this measure generally lies between -3 and +3. The closer the value lies to -3, the more the distribution is skewed left. The closer the value lies to +3, the more the distribution is skewed right. A value close to 0 indicates a symmetric distribution. Find the coefficient of skewness of the following distributions and comment on the skewness. Mean = 100, median = 100, standard deviation = 15
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The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 249 residents whose mean number of pounds of trash generated per person per week was 34.8 pounds and the standard deviation was 7.2 pounds. Round answers to 3 decimal places where possible. b. With 95% confidence the population mean number of pounds per person per week is between ? and ? pounds. c. If many groups of 249 randomly selected members are studied, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about ? percent will not contain the true population mean number of pounds of trash generated per person per week.
ANSWER PART B ONLY
A recent survey of 25 students showed that they spent an average of $18.53 on petrol eachweek. The standard deviation of the sample was $3.00. Find the 99% confidence intervalfor the true mean (average over all students).
The mayor is interested in finding a 99% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 236 residents whose mean number of pounds of trash generated per person per week was 33.6 pounds and the standard deviation was 8.7 pounds. Round answers to 3 decimal places where possible. b. With 99% confidence the population mean number of pounds per person per week is between ? and ? pounds. c. If many groups of 236 randomly selected members are studied, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about ? percent will not contain the true population mean number of pounds of trash generated per person per week.
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