A random sample of 21 glass sheets is obtained and their thicknesses are measured. The sample mean is x= 3.12 mm and sample standard deviation is S = 0.14 mm.Construct a 95% two-sided confidence interval for the mean glass thickness.Solution:PXfor 2SVAμs + laSS1-aProb-2The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=25. mean of x= 49.94 mm and std. of S = 0.15 mm.

Answered: TIUD-1 A random sample of 21 glass…

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 quick but imprecise method of estimating the concentration of a polluting chemical in a vat has been developed. Eight samples from the vat are analyzed by this method, as well as four samples by the standard method, which is precise but slow. Compare the means to estimate whether the quick method yields a systematic overestimate or underestimate at α = 0.05. The values by both the methods are tabulated below. Use t test for unequal population variances.Standard Quick25 2324 1825 2226 281725191
What critical value of t* should be used for a 95% confidence interval for the population mean based on a random sample of 21 observations? Find the t-table here. t* = 1.721 t* = 1.725 t* = 2.080 t* = 2.086
Many people believe that the average number of Facebook friends is 125. The population standard deviation is 36.8. A random sample of 49 high school students in a particular county revealed that the average number of Facebook friends was 146. At =α0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 125? State the hypotheses and identify the claim with the correct hypothesis. :H0 ▼= :H1 ▼= This hypotheses test is a one tailed or two tailed test z score critical value(s) reject or accept this hypothesis is there enough evidence to support the claim
The viscosity of a liquid detergent is supposed to average 800 centistokes at 25°C. A random sample of 16 batches of detergent is collected, and the average viscosity is 812. Suppose we know that the standard deviation of viscosity is σ = 25 centistokes. (a) What is the P-value for the test? (b) Find a 95 percent confidence interval on the mean.
The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 40 drivers over the age of 60 and finds that the mean number of miles driven is 22.7. The population standard deviation is 2.9 miles. At =α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis.
Currently patrons at the library speak at an average of 61 decibels. Will this average increase after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 57 people speaking at the library. Their average decibel level was 63.8 and their standard deviation was 9. What can be concluded at the the αα = 0.10 level of significance?
A random sample of 25 people has a sample mean height of 70 inches and a sample standard deviationof 4 inches. Confirm or reject the hypothesis H0:  = 68 inches (H1:  ≠ 68 inches) using  = 0.05.
A sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that Η = 1.5°C, test the claim that the population mean is 22°C. Use a 0.05 significance level.
Find the critical value tc for the confidence level c=0.90 and sample size n=13. tc= (Round to the nearest thousandth as nee

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