The life in hours of a battery is known to be approximately normally distributed, with standard deviation o = 1.25 hours. A randomsample of 10 batteries has a mean life of = 40.5 hours.(a) Is there evidence to support the claim that battery life exceeds 40 hours? Use α = 0.035.The battery life is notsignificantly different greater than 40 hours at a = 0.035.(b) What is the P-value for the test in part (a)?P-value = iRound your answer to three decimal places (e.g. 98.765).(c) What is the ß-error for the test in part (a) if the true mean life is 42 hours?B =Round your answer to five decimal places (e.g. 98.76543).(d) What sample size would be required to ensure that 3 does not exceed 0.2 if the true mean life is 44 hours?batteries

Answered: Image /qna-images/answer/ef54fe43-2faf-4b5f-a783-53c94c4be1f1.jpg

Answered: The life in hours of a battery is known…

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

A shipping firm suspects that the mean life of a certain brand of tire used by its trucks is lessthan 38,500 miles. To check the claim, the firm randomly selects and tests 28 of these tires and gets a mean lifetime of 37,550 miles with a standard deviation of 1250 miles. At α = 0.02, test the shipping firm's claim. Round the test statistic to the nearest thousandth.
The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 30 grams. Use the empirical rule to determine the following. (a) What percentage of organs weighs less than 220 grams or more than 400 grams? (b) What percentage of organs weighs between 280 grams and 370 grams?
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 5. Using the empirical rule, determine the interval of systolic blood pressures that represent the middle 68% of males.
An insurance company is interested in studying the mean hospitalization time of patients who suffer strokes at a certain hospital. The hospital claims the mean length of stay is 22 days, but the insurance company believes it is less than claimed. A random sample of 9 patients showed a sample mean stay of 18 days with a sample standard deviation of 3 days. They would like to conduct the test using alpha = 0.1. %3D Calculate the test statistic for the test and enter your answer in the first blank. Round your answer to two decimals. Enter the critical value cutoff point for the rejection region in the second blank. Blank # 1 Blank # 2 Next Page Page 8 of 15 126 NOV 18 MacBook Pro
A sample of 50 lenses used in eyeglasses yields a sample mean thickness of 3.07 mm and a sample standard deviation of 0.36 mm. The desired true average thickness of such lenses is 3.20 mm. Does the data strongly suggest that the true average thickness of such lenses is something other than what is desired? Test using alpha of 0.05. what is the result of the test
The weight of an organ in adult males has a bell-shaped distribution with a mean of 330330 grams and a standard deviation of 2525 grams. Use the empirical rule to determine the following. (a) About 9595% of organs will be between what weights? (b) What percentage of organs weighs between 255255 grams and 405405 grams? (c) What percentage of organs weighs less than 255255 grams or more than 405405 grams? (d) What percentage of organs weighs between 305305 grams and 405405 grams?
A survey of 47 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that the mean difference is greater than 1.2. From the sample, the mean difference was 1.4, with a standard deviation of 0.4. Calculate the test statistic, rounded to two decimal places
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.
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. How is the standard deviation of the sample mean changed when the sample size is increased from n = 12 to n = 48? Round all intermediate calculations to four decimal places (e.g. 12.3456) and round the final answer to three decimal places (e.g. 98.768). The standard deviation is reduced by i psi.
The level of calciumin the blood of healthy young adults follows aNormal distributionwithmean μ = 10milligrams per deciliter and standard deviation = 0.4. A clinicmeasures theblood calcium of 100 healthy pregnant young women at their first visit for prenatal care.The mean of these 100 measurements is ¯ x = 9.8. Is this evidence that the mean calciumlevel in the population of healthy pregnant young women is less than 10? To answer this,test the hypotheses H0 : μ = 10 versus Ha : μ < 10 at the 5% significance level.(a) What is the value of the P-value?(b) Determine which of the following statements is true.• H0 should be rejected.• H0 should not be rejected.• Ha should be rejected.• There is a 5% chance that the null hypothesis is true.
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 62 and a standard deviation of 4. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 58 and 62?ans = %
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 250.6 and a standard deviation of 62.8. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2? b. What is the approximate percentage of women with platelet counts between 62.2 and 439.0? a. Approximately % of women in this group have platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 62.2 and 439.0. (Type an integer or a decimal. Do not round.)

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