The operations manager of a production plant A would like to estimate the mean amount of time a workertakes to assemble a new electronic component. Assume that the standard deviation of this assembly time is3.6 minutes.(a)After observing 20 workers assembling similar devices, the manager noticed that their average time was16.2 minutes. Construct a 92% confidence interval for the mean assembly time.Also, he would like to estimate the mean amount of time a worker takes to assemble the same electroniccomponent of production plant B.(b) Construct a 92% confidence interval for the mean assembly time of production plant B if the data hecollected are as follows:20.016.017.5 16.0 16.3 17.2 16.7 15.3 15.918.0 18.3 17.0 19.0 19.1 15.6(c) How many workers should be involved in this study in order to have the mean assembly time estimatedup to +15 seconds with 92% confidence?(d) Discuss the effect of the change in sample size to the margin of error and the confidence interval based onthe context of the problem.

Given Information: σ=3.6n=20x¯=16.2

Answered: The operations manager of a production…

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

Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 25 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.12 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 12.04 oz and 12.60 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.14 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.14 oz. Use a 0.01 significance level. Complete parts (a) through (d) below. b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value. Click to select your answer(s). OV 8:46 hp ese backspace 96 6 1 3 4 y e tab enter k d a shift alt ctri ctrl alt USE YOUR SMARTPHONEFOR Reviews Videes Features Specs Support HP Chromebook For work and play. nd play. And play. HD…
The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 60 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1775 pounds. To see if this is the case, 90 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1788 pounds. Can we support, at the 0.05level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. a. State the null hypothesis H0 and the alternative hyposthesis H1. b. Find the value of the test statistic. c. Find the p-value. d. Can we…
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.92 oz and 12.64 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.18 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.18 oz. Use a 0.025 significance level. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A.H0: σ≥0.18oz H1: σ<0.18oz B.H0: σ=0.18oz H1: σ≠0.18oz C. H0: σ>0.18 oz H1: σ=0.18oz D.H0: σ=0.18 oz H1: σ<0.18 oz b. Compute the test statistic. χ2= (Round to three decimal places as…
Suppose a researcher wants to test if the average diastolic blood pressure in Irish-Americans is different than the average diastolic blood pressure in the general population. Note that the average diastolic blood pressure in the general population is 70 mmHG. The researcher recruits 30 Irish-Americans into this particular study and then measures each of their diastolic blood pressures (mmHG). The population of this sample has a standard deviation equal to 3.0. What is the two-sided alternative hypothesis? (in words) Group of answer choices The mean is different than 70 The mean is different than 73 The mean is greater than 70 The mean is greater than 73
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 23 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.12 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.92 oz and 12.52 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.15 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.15 oz. Use a 0.05 significance level. Complete parts (a) through (d) below. a: Identify the null and alternative hypotheses. b: Identify the null and alternative hypotheses. c: Compute the test statistic. d: What is the P value and what is the correct conclusion.
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 25 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.97 oz and 12.65 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.17 oz.Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.17 oz. Use a 0.05 significance level. Complete parts (a) through (d) below, a. Identify the null and alternative hypotheses. Choose the correct answer below. O B. Ho o=0.17 oz H, o0.17 oz H, 0 0.17 oz H o= 0.17 oz b. Compute the test statistic. (Round to three decimal places as needed.)
An electrical engineer wishes to compare the mean lifetimes of two types of transistors in an application involving high-temperature performance. A sample of 60 transistors of type A were tested and were found to have a mean lifetime of 1827 hours and a standard deviation of 174 hours. A sample of 180 transistors of type B were tested and were found to have a mean lifetime of 1658 hours and a standard deviation of 231 hours. Let ux represent the population mean for transistors of type A and µy represent the population mean for transistors of type B. Find a 95% confidence interval for the difference uy – µy . Round the answers to three decimal places. The 95% confidence interval is
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 21 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.91 oz and 12.47 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.14 oz. Use the sample data Complete parts (a) through (d) below. test the claim that the population of volumes has a standard deviation less than 0.14 oz. Use a 0.025 significance level. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o = 0.14 oz O B. Ho: o = 0.14 oz H,:o0.14 oz H1: 0 = 0.14 oz O D. Ho: o20.14 oz H:o<0.14 oz b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places as…
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.
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 24 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.12 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.94 oz and 12.46 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.13 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.13 oz. Use a 0.05 significance level. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o = 0.13 oz O B. Ho: o = 0.13 oz H1: o+0.13 oz H1: o 0.13 oz H1: 0 = 0.13 oz O D. Ho: o20.13 oz H1: o<0.13 oz b. Compute the test statistic. x2 = 19.598 (Round to three decimal places as needed.) c. Find the P-value. P-value =…
A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.
Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 55 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 193 and the sample standard deviation was 88. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ho: μ = 153 Ha: μ> 153 Ho: μ = 153 Ha: μ = 153 Ho: μ = 153 Ha: μ ≤ 153 Ho: μ = 153 Ha: μ< 153 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence…

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