Modern laser equipment has been used to measure the distance between two points. Eachmeasurement value can be seen as an observation of a normally distributed variable X, with the realdistance UX as expected value and standard deviation OX=2.87. After collecting n=18 independentmeasurements have calculated that the average value is X = 3016A student finds the upper and lower bounds of a 90% confidence interval for the real distance UX.Upper = 3017.1Lower = 3014.9How many observations do we need to get the length of the confidence interval down to 1.0meters?

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Answered: Modern laser equipment has been used to…

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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A sample of 16 overweight people uses a new reducing pill for 6 weeks and has a mean weight loss of 20lbs. the standard deviation is 8lbs. Find a 95% confidence interval for the mean weight loss. if the same information was found using a sample of 50, how would that affect the lenght of the confidence interval?
An electrical firm manufactures light bulbs that have a length of life that is approximately normallydistributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm.
From a research survey, it was found that a random sample of 18 elementary graduates of an exclusive private school has a mean NEAT score of 90 with a standard deviation of 16, while a random sample of 24 elementary graduates of a public school showed a mean NEAT score of 85 with a standard deviation of 12. Is there a significant difference in the NEAT performance of these two groups of elementary graduates? a. Use the traditional method, and b. The P-value method c. Construct a 95% confidence interval for the difference in mean.
Suppose you have a random sample of 50 cans of oil from a very large shipment, and they weigh an average of 31.15 kg., with a standard deviation of 0.08 kg. Calculate a 90% confidence interval for this estimate of the mean weight of the cans in this shipment. Can you safely conclude that there is no more than a 5% chance that the mean weight of the cans in this shipment is less than 31 kg? Show why or why not
In a study of times required from room service at a newly opened Plaza Hotel, 20 deliveries had a mean time of 24.2 minutes and a standard deviation of 8.7 minutes. If the times of all deliveries are normally distributed, construct a 95% confidence interval for the mean of all deliveries, Q3) Solve Q2) again (Redo 2), considering an information given to us from a previous study; that is, the delivery times are normally distributed with standard deviation of 8.0.
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780 hours, find a 98% confidence interval for the population mean of all bulbs produced by this firm.
Taking a random sample of 35 individuals waiting to be serviced by the teller, we find that the mean waiting time was 22.0 minutes and the standard deviation was 8.0 minutes. Construct a 97% confidence interval of the mean waiting time for all individuals waiting in the service line. If an individual waited for 15 minutes, would this be considered unusually fast?
A popular weight loss program claims that with its recommended healthy diet regimen, users lose significant weight within a month. In order to estimate the mean weight loss of all customers, a nutritionist takes a sample of 18 dieters and records their weight loss one month after joining the program. He computes the sample mean of weight loss as 12.5 pounds and the sample standard deviation of weight loss as 9.2 pounds. Compute the 90% confidence interval for the population mean. (Round to two decimal places.)
A 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4. The 95% confidence interval between the difference in rates between the two departments (round off to three decimals) is:
A sample of 16 overweight people take a new reducing pill for 6 weeks and have a mean weight loss of 20 lbs . The standard deviation is 8 lbs . You may assume that the distribution is normal . a) Find a 95 % confidence interval for the mean weight loss . b) If the same information was found using a sample of 50 , how would that cffect the length of the confidence interval the standard
A report published by the BZW Luxury Association shows that each American household spent on average$694 on jewelry and watch in 2018. Suppose a sample of 64 households were surveyed while they wereshopping at Macy's, which resulted in a sample mean of $622 and a sample standard deviation of $125. How does the margin of error for a 99% condence interval compare to the margin of error for a 95% condence interval? Based on your the 95% confidence interval result, does it appear that the population mean amount spent by families shopping at Macy's is different from the mean reported? Explain.

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