The weights of full boxes of a certain kind of cereal arenormally distributed with a standard deviation of 0.27 oz. Asample of 15 randomly selected boxes from the machinepictured, produced a mean weight of 9.YZ oz.a. Find the 90% confidence interval for the true mean weightof a box of this cereal, with the above given sample size.b. Find the 90% confidence interval for the true mean weightof a box of this cereal, with samples of 35 random boxesc. What effect did an increase in the sample size have on thewidth of the confidence interval?Don't forget to apply the central limit theorem.

Population standard deviation σ=0.27 Sample size n=15 Sample mean x¯=9

Answered: The weights of full boxes of a certain…

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

The average size of a farm in one county is 162 acres with a standard deviation of 38 acres. The average size of a farm in a second county is 180 acres with a standard deviation of 40 acres. Assume the data were obtained from two samples that had 30 farms each. Can it be concluded that the average size of the farms in the two counties is different? (Let α = 0.05)
A chain of restaurants has historically had a mean wait time of 5 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 35 customers. The mean wait time for the sample is 5.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 5 minutes? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 μ X 0° OO 20ם ローロ OO × 5 (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. 0.10 is the value that cuts off an area of 0.10 in the right tail. *-μ ⚫ The test statistic has a normal distribution and the value is given by z=- σ √n Standard Normal…
The following statistics are computed by sampling from three normal populations whose variances are equal: (You may find it useful to reference the table and the g table.) = 30.1, n₁ = 7; 2 = 35.5, n2 = 9; 3 = 40.9, n3 = 4; MSE = 25.0 a. Calculate 95% confidence intervals for H1 H2, H1 - Hз, and μ2 - μз to test for mean differences with Fisher's LSD approach. (Negative values should be indicated by a minus sign. Round final answers to 2 decimal points.) Population Mean Differences H1-H2 H1 H3 H2 H3 Confidence Interval Can we conclude that the population means differ?
Given two independent random samples with the following results: n1=12x‾1=73s1=27n1=12x‾1=73s1=27 n2=12x‾2=102s2=22n2=12x‾2=102s2=22 Use this data to find the 95%95% 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. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
A potential buyer wants to decide which of the two brands of electric bulbs he should buy as he has to buy them in bulk. As a specimen, he buys 100 bulbs of each of the two brands-A and B. On using these bulbs, he finds that brand A has a mean life of 1,200 hours with a standard deviation of 50 hours and brand B has a mean life of 1,150 hours with a standard deviation of 40 hours. Do the two brands differ significantly in quality? Use a = 0.05.
The birth weights for two groups of babies were compared in a study. In one group the mothers took a zinc supplement during pregnancy. In another group, the mothers took a placebo. A sample of 176 babies in the zinc group had a mean birth weight of 3270 grams. A sample of 220 babies in the placebo group had a mean birth weight of 3144 grams. Assume that the population standard deviation for the zinc group is 718 grams, while the population standard deviation for the placebo group is 780 grams. Determine the 90%90% confidence interval for the true difference between the mean birth weights for "zinc" babies versus "placebo" babies. Find the point estimate for the true difference between the population means.
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
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.
A random sample of 32 showed that the mean shoe size for American men is 10.5 with a standard deviation of 1.12. Assuming normality, find the 95% confidence interval for the mean shoe size for American men. A random sample of 32 showed that the mean shoe size for American men is 10.5 with a standard deviation of 1.12. Assuming normality, find the 95% confidence interval for the mean shoe size for American men. (9.99, 11.01) (10.112, 10.888) (10.096, 10.904) (10.174, 10.826)
The circumference of a particular species of tree was thought to be different depending on certain geographical factors. An SRS of 60 trees is selected in Sequoyah National Forest, where it is found that = 6 meters with a standard deviation = 3 meters. A second SRS of size 40 is independently selected in Yellowstone National Forest, and it is found that = 4 meters with a standard deviation = 2 meters. Let μ1 and μ2 represent, respectively, the true mean circumferences of this particular species of tree. Assume the standard deviations of the two populations are equal. A 95% confidence interval for μ1 – μ2 is
A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute a 99%confidence interval for the population mean µ.

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