**Hypothesis Testing and Confidence Intervals for CFL Mean Life**A quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine if the mean life of a large shipment of CFLs is equal to 7,466 hours. The population standard deviation is 92 hours, and a random sample of 64 light bulbs indicates a sample mean life of 7,443 hours.a. **Hypothesis Test at 0.05 Significance Level** - **Objective:** Determine if there is evidence that the mean life is different from 7,466 hours. - **Null Hypothesis (H₀):** The population mean (μ) is equal to 7,466 hours. - **Alternative Hypothesis (H₁):** The population mean (μ) is not equal to 7,466 hours.b. **Compute and Interpret the p-value**c. **Construct a 95% Confidence Interval** - Estimate the population mean life of the light bulbs.d. **Comparison and Conclusions** - Compare the results from parts (a) and (c), and discuss the conclusions.**Detailed Breakdown****a. Hypotheses Setup**- **Null Hypothesis (H₀):** μ = 7,466- **Alternative Hypothesis (H₁):** μ ≠ 7,466 This setup will determine if the mean life of the CFLs is significantly different from 7,466 hours.

a. Consider that μ is the mean life of a large shipment of CFLs.

Answered: The quality-control manager at 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 supplier is selling lumber to a building supply company. The building supply company requires that the overall length of a particular type of board measure between 95.9 and 96.1 inches. Before sending its next shipment, the supplier collects a large sample of boards and determines the mean length of the sample is 96.03 inches, with a standard deviation of 0.029 inches. What is the process capability index of the current process? Two decimal places.
A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $52. Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round. Do not include the $ symbol in your answer.) Identify the critical value(s). The critical value(s) is/are (Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic, 1STAT, is (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. Ho. There is evidence that the…
A half-century ago, the mean height of women in a particular country in their 20s was 62.3inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.25inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 29of today's women in their 20s have mean heights of at least 63.41 inches?
The lengths of nails produced in a factory are normally distributed with a mean of 3.343.34 centimeters and a standard deviation of 0.070.07 centimeters. Find the two lengths that separate the top 3%3% and the bottom 3%3%.
A recent report indicates that 2-year-old children from the well-educated suburban families watched an average of m=60 minutes of television each day. Assuming that the distribution of television-watching times is normal with a standard deviation of 25 minutes, find each of the following proportions. a. What proportion of 2- year-old children watch more than two hours of television each day? b. what proportion of 2-year-old children watch less than 30 minutes a day?
A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $58and a standard deviation of $55.Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses.
A nurse is interested in the amount of time patients spend exercising per day. According to a recent study, the daily workout time per adult follows an approximately normal distribution with a mean of 94 minutes and a standard deviation of 27minutes. If the nurse randomly samples patients in her office to analyze their exercise time and gets a standard error of 3minutes, how many patients did she sample?
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,508 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,328 hours. Let μ be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1.
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 53 and a standard deviation of 10. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 43 and 53?Do not enter the percent symbol.ans = ___%
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 3030 scores from all of the students who took the test. She sees that the mean score is 169169 with a standard deviation of 7.06747.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 1313. Is there evidence that the standard deviation of test scores has decreased at the α=0.005α=0.005 level? Assume the population is normally distributed. Step 1 of 5: State the null and alternative hypotheses. Round to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the…
An air condition company will spend an average of 64 minutes with a standard deviation of 19 minutes on a service call. Based on this, and assuming a normal distribution, 5% of service calls will take more than how much time to complete? Approximately 66.29 minutes O Approximately 32.75 minutes O Approximately 39.41 minutes O Approximately 95.25 minutes O Approximately 77.23 minutes
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1478 and a standard deviation of 292. The local college includes a minimum score of 689.6 in its admission requirements.What percentage of students from this school earn scores that satisfy the admission requirement?

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