Exercise 4: Confidence Intervals for the Population Means using z-valuesA manufacturer of widgets expects that each widget will be 11 inches long (µ= 11 inches). The population standarddeviation (o) is thought to be 0.02 inch. The Sample Mean, X, is 10.998 inches. The sample size is 100.Inputs$Sample Mean (X)Presumed Population Standard Deviation, oSample size (n)10.9980.02 inch1001. What is the point estimate for the population mean, µ?2. What is the appropriate z-value to use when constructing a confidence interval at a 95% and 99%confidence levels? Use the z-value table and Microsoft Excel.Assignment03Page 3 of 5Assignment 3: Chapter 9, 10, 11 & 12Confidencez-Valuez-ValueLevel(Table)(Еxcel)Excel Formula95% (0.90)99% (0.99)=ABS(NORM.S.INV(0.025))=ABS(NORM.S.INV(0.005))3. Using a z-values calculate the confidence interval using at a 95% and 99% confidence levels. Do this byhand and use Excel's CONFIDENCE.NORM function. Report the Margin of Error, Lower ConfidenceLimit, and Upper Confidence Limit. Paste your work from Excel using Word's Paste Special function.X+z-Vn4. What does these confidence intervals you constructed tell you?

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Answered: Exercise 4: Confidence Intervals for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The mean number of eggs per person eaten in the United States is 252 and the standard deviation is 68. Do college students eat more than the average? The 45 college students surveyed averaged 281 eggs per person. What can be concluded at the 0.05 level of significance? H0: = 252 Ha: _____________ 252 Test statistic: __________ p-Value =__________ Reject/Fail to reject H0?______________ Conclusion: There is____________ evidence to make the conclusion that the population mean number of eggs consumed college students per year is more than 252 eggs per student per year. p-Value Interpretation: If the mean number of eggs consumed per year for college students is equal to_________ and if another study was done with a new randomly selected group of 45 college students, then there is a ____________ percent chance that the average number of eggs consumed per year for this new sample would be greater than_____________ . Level of significance…
The lifetimes of lightbulbs of a particular type are normally distributed with a mean of 400 hours and a standard deviation of 10 hours. What percentage of the bulbs have lifetimes between 380 hours and 420 hours? 99.7% 95% 68% 84%
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Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
A STATISTICS PROFESSOR IS REVIEWING GRADES TREAT THE SCHEDULE AS UNGROUPED DATA GRADE 86 76 96 86 92 82 74 76 85 81 88 GRADE 90 86 76 74 85 92 85 76 83 84 95 SOLVE FOR UNGROUPED DATA- MEASURES OF CENTRAL TENDENCY, QUARTILES. SAMPLE STANDARD DEVIATION RANGE INTERQUARTILE RANGE SOLVE BOTH WAYS
Cell Phone Lifetimes A recent study of the lifetimes of cell phones found the average is 23.8 months. The standard deviation is 5.8 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population, and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator. Round your answer to at least four decimal places. <PX23.8)=
A population has a mean μ=76 and a standard deviation σ=20. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=232. Question content area bottom Part 1 μx=enter your response here (Simplify your answer.) Part 2 σx=enter your response here (Type an integer or decimal rounded to three decimal places as needed.)
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?
Consider the following sample data. Sample A: 11, 22, 33 Sample B: 81, 92, 103 Sample C: 1,100; 1,111; 1,122 (a) Find the mean and standard deviation for each sample. Sample A: Sample B: Sample C: Mean Sample Standard Deviation (b) What does this exercise show about the standard deviation? multiple choice The idea is to illustrate that the standard deviation is not a function of the value of the mean. The idea is to illustrate that the standard deviation is a function of the value of the mean.

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