BIG Corporation advertises that its light bulbs have a mean lifetime, pu, of 3200 hours. Suppose we have good reason to believe that u is different from 3200hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for thissample is 3400 hours and that the sample standard deviation of the lifetimes is 600 hours.Based on this information, complete the parts below.(a)What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test?Ho: 3200H : 3200D=0(b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making?|Турe II(c)Suppose the true mean lifetime of BIG's light bulbs is 3420 hours. Fill in the blanks to describe a Type II error.A Type II error would be (Choose one)the hypothesis that u is (Choose one)(Choose one) when, in fact, u is (Choose one)

Answered: BIG Corporation advertises that its…

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

Suppose that for the past several decades, daily precipitation in Seattle, Washington has had a mean of 2.4 mm and a standard deviation of 11.4 mm. Researchers suspect that in recent years, the mean amount of daily precipitation has changed, so they plan to obtain data for a random sample of 195 days over the past five years and use this data to conduct a one-sample ?z‑test of ?0:?=2.4H0:μ=2.4 mm against ?1:?≠2.4H1:μ≠2.4 mm, where ?μ is the mean daily precipitation for the last five years. Although they realize that rainfall does not follow a normal distribution, they feel safe using a ?z‑test because the sample size is large. The researchers want to know what the power of this test is to reject the null hypothesis at significance level ?=0.05α=0.05 if the actual mean daily precipitation is 2.6 mm or more. Computing power by hand requires two steps. The first step is to use a significance level of 0.05 to determine the values of the sample mean for which they will reject their null…
BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of 2800 hours. Suppose we have good reason to believe that µ is different from 2800 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2980 hours and that the sample standard deviation of the lifetimes is 650 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? H₂O Ho 0 H₁ :0 (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one) (c) Suppose the true mean lifetime of BIG's light bulbs is 3000 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) ▼the hypothesis that μ is (Choose one) (Choose one) when, in fact, u is (Choose one) μ 0<0 ロミロ × XI □<口 0=0 □≠ロ Ś
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, u, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 47 hours and that the standard deviation is 5 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H, that should be used for the test? Ho :0 H :0 O
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 48 hours and that the standard deviation is 6 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (c) Suppose the true mean number of hours worked by software engineers is 50 hours. A Type II error would be _____ the hypothesis that μ is_____ when, in fact, μ is_____ .
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now less than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 40 hours and that the standard deviation is 5 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? Ho : D H₁:0 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) (c) Suppose the true mean number of hours worked by software engineers is 38 hours. Fill in the blanks to describe a Type II error. 20 F3 A Type II error would be (Choose one) ▼ the hypothesis that µ is (Choose one) Continue F4 (Choose one) ▼when, in fact, μ is (Choose one) F5 MacBook Air F6 A F F7
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 49 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? μ x H₁ : H₁ (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one)▼ (c) Suppose the true mean number of hours worked by software engineers is 51 hours. Fill in the blanks to describe a Type II error. A Type II error would be rejecting when, in fact, is equal to 44 ▼the hypothesis that is less than ▼ 44 O□ ロ=ロ G □≠□
The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: What z-score is required to be in the top 40%? QUESTION 45 The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: What percentage of individuals have a z-score between -1 and 1.40? QUESTION 46 The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: What percentage of individuals have a z-score between 1.05 and 1.40?
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, u, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 47 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 O
Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, u, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 35 hours and that the standard deviation is 3 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? v the hypothesis that u is ? ? v. when, in Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?
For a random sample of 50 newborn Holstein calves from the United States, the mean weight was 80 pounds and the standard deviation was 6 pounds. In order to compare these findings with those of other countries, an agricultural engineer converted the measured calf weights from pounds to kilograms by multiplying each weight by 0.454. What are the mean and standard deviation of the converted weights of the 50 newborn Holstein calves? (A) The mean weight is 36.32 kilograms and the standard deviation is 2.724 kilograms. (B) The mean weight is 36.32 kilograms and the standard deviation is 6 kilograms. (C) The mean weight is 80 kilograms and the standard deviation is 2.724 kilograms. (D) The mean weight is 80 kilograms and the standard deviation is 6 kilograms. (E) The mean weight is approximately 176.21 kilograms and the standard deviation is 6 kilograms.
The mean age of all 663 used cars for sale in a newspaper one Saturday last month was 7.5 years, with a standard deviation of7.1 years. The distribution ads, a reporter randomly selects 50 of these used cars and plans to visit each owner to inspect the cars. He finds that the mean age of the 50 cars he sam Complete parts a through c. a From the problem statement, which of the values 75,7.1, 7.9, and 5.6 are parameters and which are statistics? The value 7.5 is a The value 7.1 is a The value 7.9 is a The value 5.6 is a
A hiring company claims that the variance of the annual salaries for managers is greater in Florida than Georgia. You select a sample of 28 managers in Florida and find the standard deviation to be $11,000. You select a sample of 24 managers in Georgia and find the standard deviation to be $9,200. At α=0.05, can you support the hiring company's claim?

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