A sports writer wants to see if a football filled with helium travels farther, on average, than a football filledwith air. 10 footballs were filled with helium to the recommend pressure and 11 footballs were filled withair to the recommended pressure. The mean yardage for the helium filled footballs was 231 yards with astandard deviation of 5 yards. The mean yardage for the air filled footballs was 234 yards with a standarddeviation of 2 yards.Construct a 98% confidence interval for the mean difference in yardage for the two types of footballs.Assume the populations are normal with equal variances. Round your answers to three decimal places, anduse four decimal places for any interim calculations.We are 98% confident that the intervalμ1 μ2 in yardage between the two types of footballs.contains the true mean differenceWhat can you conclude about the sports writer's idea that helium footballs travel farther, on average?O The helium footballs travel farther on average than the other footballs.The other footballs travel farther on average than the helium footballs.The helium footballs are no different than the other footballs, on average.

The random variable X1 is a football filled with helium The random variable X2 is a football filled…

Answered: A sports writer wants to see if a…

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 custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 18 floors of WaxWin and 10 of WaxCo. WaxWin had a mean lifetime of 22.1 with a standard deviation of 5.6 and WaxCo had a mean lifetime of 28.5 with a standard deviation of 7.1. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: O Ho: H1 µ2(claim) O Ho: µ1 2 H2 HA: H1 < µ2(claim) O Ho: µ1 = µ2 HA: H1 7 M2(claim) Since the level of significance is 0.05 the critical value is -1.751 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the mean of WaxWin is less than the mean of WaxCo. O There is not enough evidence to reject the claim that the mean of…
A researcher investigated whether people are spending more time watching Netflix or attending Zoom meetings. A group of 45 people who watch Netflix were spending a mean of 11.3 hours per week with a standard deviation of 2.8 hours. A group of 50 people who are attending Zoom meetings were spending a mean of 13 hours per week with a standard deviation of 4.1 hours. Construct a 95% confidence interval for the difference between the two groups’ means. Based on the interval, is there a significant difference between the number of hours people are spending watching Netflix and attending Zoom meetings? If there is a significant difference, which group has the greater mean? Explain. Calculator function:
2) A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for - P2.
A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 12 floors of WaxWin and 20 of WaxCo. WaxWin had a mean lifetime of 27.6 with a standard deviation of 8.8 and WaxCo had a mean lifetime of 20.3 with a standard deviation of 7.6. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: HA: P1 > µ2(claim) Ho: µ1 2 µ2 HA: µ1 < µ2(claim) Ho: µ1 = µ2 HA: H1 + H2(claim) Since the level of significance is 0.01 the critical value is 2.836 and -2.836 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 25 right handed students to turn a knob with their right hands that moved an indicator by screw action. There were two identical instruments, one with a right-hand thread and the other with a left-hand thread. The table given has the data from the student project.1. Calculate and interpret a 90% confidence interval for the mean time advantage of right hand over left hand threads in the setting above.
A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 20 floors of WaxWin and 17 of WaxCo. WaxWin had a mean lifetime of 26.4 with a standard deviation of 8.6 and WaxCo had a mean lifetime of 27.2 with a standard deviation of 6.6. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: Ο Ηο: μι < με HA₁₂(claim) Ο Ηρ: με 2 με HA: 1₂(claim) O Ho: ₁ = ₂ HAM12(claim) Since the level of significance is 0.05 the critical value is -1.69 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 35 type I ovens has a mean repair cost of $80.39. The population standard deviation for the repair of type I ovens is known to be $24.63. A sample of 31 type II ovens has a mean repair cost of $73.47. The population standard deviation for the repair of type II ovens is known to be $10.42. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let i be the true mean repair cost for type I ovens and µz be the true mean repair cost for type II ovens. Step 1 of 5: State the null and alternative hypotheses for the test.
One student group argues that the average student must travel at least 25 minutes daily to go to college with a standard deviation of 9.6 minutes. The university's enrollment office believes it is different from that value and is tasked with taking a random sample of 32 one-way travel times from students. This sample had a mean of 19.4 minutes. Find the confidence interval for the true mean of the students' travel time for the home-university journey at 99% confidence. Does this interval contradict what the student group said? Discuss your answer. d) Calculate the value of the margin of error (or maximum error) for the established confidence levele) Provide the lower limit of the requested range.f) Provide the upper limit of the requested range.g) How do you interpret this interval, it contradicts what the student group says?
A study wanted to compare the weight loss between two drugs. They sampled 60 people. 30 who took drug A and 30 who took drug B. With drug A the average weight loss was 15 pounds with a standard deviation of 8 pounds. With drug B the average weight loss was 18 pounds with a standard deviation of 9 pounds. Approximate the difference in weight loss (drug A - drug B). Enter the lower limit of a 90% confidence interval. (Rond to the nearest tenth).

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