Assessment Task: Statistical Intervals1. A random sample of size nl = 25, taken from a normal population with a standarddeviation ol = 5, has a mean 1 = 80. A second random sample of size n2 = 36, takenfrom a different normal population with a standard deviation o2 = 3, has a mean 2 =75. Find a 95% confidence interval for ul - u22. An electrical firm manufactures light bulbs that have a length of life that isapproximately normally distributed with a standard deviation of 40 hours. If asample of 30 bulbs has an average life of 780 hours, find a 98% confidence intervalfor the population mean of all bulbs produced by this firm.3. A machine produces metal pieces that are cylindrical in shape. A sample of piecesis taken, and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99,1.01, and 1.03 centimeters. The sample mean and standard deviation for the givendata are = 1.0056 and s = 0.0246.(a) Find a 99% confidence interval on the mean diameter.(b) Compute a 99% prediction interval on a measured diameter of a single metalpiece taken from the machine.(c) Find the 99% tolerance limits that will contain 95% of the metal pieces producedby this machine4. A random sample of 20 students yielded a mean of = 72 and a variance of s2 = 16for scores on a college placement test in mathematics. Assuming the scores to benormally distributed, construct a 98% confidence interval for a2.

Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Answered: Assessment Task: Statistical Intervals…

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

Similar questions

Given two independent random samples with the following results: n1=7x‾1=179s1=22n1=7x‾1=179s1=22 n2=14x‾2=145s2=20n2=14x‾2=145s2=20 Use this data to find the 80% confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. Copy Data Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval. Step 2 of 3 : Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. step 3 of3: construct the 80% confidence interval.Round your answers to nearest whole number.
Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 8 points and an unknown population mean. A random sample of 25 scores is taken and gives a sample mean of 93 points. Find the margin of error for a confidence interval for the population mean with a 98% confidence level. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
It was reported that last year the average price of gallons of gasoline in a city X was $3.15. This year a sample of 50 gas stations had an average price of $3.10 for a gallon. We assume that the population standard deviation of prices is $0.15. We are interested in determining whether this year's mean price is less than last year. Perform a hypothesis test at the level of significance α=0.05.
b) Find the critical value of t for a 90% confidence interval with df=58.
a. What are the sample estimates of β0,β1,and β2? b. What is the least squares prediction equation? c. FindSSE,MSE,and standard deviation . Interpret the standard deviation in the context of the problem. d. Test H0: β1=0 against Ha: β1≠0.Use α=0.01. e. Use a 95% confidence interval to estimate β2. f. Find R2 and R^2_a and interpret these values. g. Find the test statistic for testing H0: β1=β2=0. h. Find the observed significance level of the test in part g.interpret the result.
Assessment Task: Statistical Intervals 1. A random sample of size n1 = 25, taken from a normal population with a standard deviation ol = 5, has a mean 1 = 80. A second random sample of size n2 = 36, taken from a different normal population with a standard deviation o2 3, has a mean 2 = 75. Find a 95% confidence interval for ul - u2 %3D
T/F: An R^2 value near 100% indicates that there is a strong causal relationship between the response and the predictor variables. T/F: Standard deviation of the sum of two independent random variables is the sum of their standard deviations.
A random sample of size 8 from a normal distribution has standard deviation s= 89. Test Ho:o=41 versus H, :0<41. Use the a=0.05 level of significance. Part 1 of 5 The hypotheses are provided above. This hypothesis test is a left-tailed test. Part: 1 /5 Part 2 of 5 Find the critical value. Critical value=
Find the critical value tc for the confidence level c=0.80 and sample size n=28.
A manufacturer bonds a plastic coating to a metal surface. A random sample of nine observations on the thickness of this coating is taken from a week's output and the thickness (in millimeters) of these observations are shown below. Assuming normality, find a 90 % confidence interval for the population variance. 19.7 20.5 Click the icon to view a table of lower critical values for the chi-square distribution. Click the icon to view a table of upper critical values for the chi-square distribution. 21.8 18.2 Find the 90% confidence interval. 0<²0 (Round to four decimal places as needed.) 21.6 SCIOD 19.3 19.7 20.2 20.7
n=10 b = 0.50 sb = 0.02 α=0.05 find the confidence interval for β.
Given two independent random samples with the following results: n1=10x‾1=89s1=19�1=10�‾1=89�1=19 n2=17x‾2=128s2=28�2=17�‾2=128�2=28 Use this data to find the 90%90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS