A precision instrument is guaranteed to be accurate within 2 units. A sample of four instrument readings onthe same object yielded the measurements353 351 351 355.4.1Construct a 95% confidence interval for the variance of the instrument's precisionreadings灣彩It is believed that the variation in the instrument's precision readings is equal to 0.5.From your confidence interval, is there sufficient evidence to conclude that the4.2variance differs from 0,5? Explain your answer

Answered: Image /qna-images/answer/24594461-aef4-45ec-892f-9dad6cec5fd6.jpg

A precision instrument is guaranteed to be accurate within 2 units. A sample of four instrument readings on the same object yielded the measurements 353 351 351 355. 4.1 Construct a 95% confidence interval for the variance of the instrument's precision readings It is believed that the variation in the instrument's precision readings is equal to 0.5. From your confidence interval, is there sufficient evidence to conclude that the 4.2 variance differs from 0.5? Explain your answer

A precision instrument is guaranteed to be accurate within 2 units. A sample of four instrument readings on the same object yielded the measurements 353 351 351 355. 4.1 Construct a 95% confidence interval for the variance of the instrument's precision readings It is believed that the variation in the instrument's precision readings is equal to 0.5. From your confidence interval, is there sufficient evidence to conclude that the 4.2 variance differs from 0.5? Explain your answer

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

Related questions

Q: An educator has developed a program to improve math scores on the Texas STAAR test. The average…

Q: our boss agreed to your process improvement project and after several months, you think that waste…

A: A sample of the food waste generated over the next 10 weeks was taken and the following data was…

Q: The average salary for American college graduates is $49,500. You suspect that the average is…

Q: Do male and female servers work the same number of hours? A sample of 24 female servers worked an…

A: Suppose μ1, μ2 are the population mean number of hours for male and female servers, respectively.

Q: Some college graduates employed full-time work more than 40 hours per week, and some work fewer than…

Q: The standard deviation or variance is an important measurement in a production process to analyse…

Q: Do male and female servers work the same number of hours? A sample of 24 female servers worked an…

A: M1 =40 N1 = 24 df = n-1 df = 23 S1 = 4 M2 = 28 N2 =22 df = 21 S2 = 3

Q: A survey of 38 men found that an average amount spent on St. Patrick's day of $113 with a standard…

Q: A survey of 36 men found that an average amount spent on St. Patrick's day of $99 with a standard…

Q: A psychologist reports that the average length of R.E.M. sleep in his test subjects was 10 minutes.…

A: Hypothesis Testing: Hypothesis is a procedure by which we can tests an assumption regarding a…

Q: Do male and female servers work the same number of hours? A sample of 23 female servers worked an…

A: Given, mean1 = 27 mean2 = 22 standard deviation1 = 3 standard deviation2 = 5 Sample1 = 23…

Q: An educator has developed a program to improve math scores on the Texas STAAR test. The average…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Q: An educator has developed a program to improve math scores on on the Texas STAAR test. The average…

Q: A researcher wants to investigate whether Psychology majors study differently than the general…

Q: A normal population has a mean 100 and variance 25. How large must the sample size be if we want the…

Q: Researchers are studying the effect of smoking on the time it takes to fall asleep. A random sample…

A: The question is about confidence interval Randomly selected no. of smokers ( n1 ) = 50 Sample mean…

Q: arger or smaller P-value? Juan and Mary want to test the null hypothesis that the mean length of…

A: Answer : The p-value is the probability of obtaining results at least as extreme as the observed…

Q: Do male and female servers work the same number of hours? A sample of 14 female servers worked an…

A: Given that: Sample 1 (female servers): n1=14x¯1=27s1=4 Sample 2 (male servers): n2=23x¯2=35s2=3…

Q: Do male and female servers work the same number of hours? A sample of 24 female servers worked an…

A: The sample size for females is 24, mean is 40 and standard deviation is 4. The sample size for males…

Q: A researcher examined the effect of music on memory. For the general population, the distribution of…

Q: An educator has developed a program to improve math scores on the Texas STAAR test. The average…

Q: A random sample of 75 medical doctors in Detroit showed that they worked an average of 55.1…

A: Conditions for Two sample Independent t test: The two samples are independent to each…

Q: The average American consumes 99 liters of alcohol per year. Does the average college student…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: We have a recent set of data of n=30 Americans, the sample mean = 14 hours per day, the standard…

A: The sample mean and population mean is whether related or not is calculated using the z test when…

Q: erence between two independent population means z-test for a population proportion The null and…

A: Hey there! Thank you for posting the question.Since you have posted a question with multiple…

Q: An independent knowledge, attitudes and practices survey on COFLU-20 was conducted in a large…

A: Given information- Population mean, μ = 5 Population standard deviation, σ = 1.3 Sample size, n =…

Q: You would like to estimate the variance of GPA’s at SDSU. You randomly select 14 students and get a…

A: From the provided information, Sample size (n) = 14 Sample standard deviation (s) = 0.981 Confidence…

Q: Previous research has shown that the mean number of ballpoint pens Americans use per year is 4.3…

A: Given that Sample size n =20 Population mean =4.3 Population standard deviation =1.17 Sample mean…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A precision instrument is guaranteed to be accurate within 2 units. A sample of four instrument readings on
the same object yielded the measurements
353 351 351 355.
4.1
Construct a 95% confidence interval for the variance of the instrument's precision
readings
灣彩
It is believed that the variation in the instrument's precision readings is equal to 0.5.
From your confidence interval, is there sufficient evidence to conclude that the
4.2
variance differs from 0,5? Explain your answer

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

a. What is the R-squared (R2) value? Interpret this value in context of the study. b. What is the estimated variance of the response, σ^2 ?
Currently patrons at the library speak at an average of 69 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 41 people speaking at the library. Their average decibel level was 67 and their standard deviation was 5. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer v H1: ? v Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean has significantly decreased from 69 at a = 0.01, so there is statistically significant evidence to conclude that the population mean decibel…
The average American consumes 97 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 79.1 liters of alcohol consumed per year with a standard deviation of 19 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? v = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =
#4data: 0.06, 0.11, 0.16, 0.15, 0.14, 0.08, 0.15. Use the sample data from #4 to construct a 98% confidence interval estimate for the standard deviation of the amount nitrogen-oxide emission for all cars.
The mean number of eggs per person eaten in the United States is 223. Do college students eat a different number of eggs than the average American? The 51 college students surveyed averaged 237 eggs per person and their standard deviation was 39.3. What can be concluded at the a = 0.01 level of significance? %3D a. For this study, we should use Select an answer b. The null and altemative hypotheses would be: H 2 Select an answer v H 2vSelect an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is | ? v a f. Based on this, we should Select an answer V the null hypothesis. g. Thus, the final conclusion is that... O The data suggest that the populaton mean is significantly different from 223 at a = 0.01, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 223. Toctor O The data…
The mean ACT score for 43 male high school students is 21.1 and the standard deviation is 5.0. The mean ACT score for 56 female high school students is 20.9 and the standard deviation is 4.7. At the 1% significance level, can you reject the claim that male and female high school students have equal ACT score averages? Be sure to use the p-value to make your conclusion.
Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the study. Sex N Mean Standard deviation Males 59 2.91 1.46 Females 60 7.42 2.48 How different are male and female zebra finches in bill color? The margin of error for a 95% confidence interval for the difference in mean bill color μF – μM (in hue degree) is
Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 58 randomly surveyed shoppers on the day after Thanksgiving spent an average of $126. Their standard deviation was $35. The 58 randomly surveyed shoppers on the day after Christmas spent an average of $111. Their standard deviation was $32. What can be concluded at the a = 0.01 level of significance? Assuming Equal Variances Tor this study, we shoutd use Select an answer a The null and alternative hypotheses-would be HgSelect an-anower Select an answer v Select an answer v (please enter a decimal) H:Setect an answer v Select an answer V Select an answer v (Please enter a decimal b. The test stattstT is a . The test statistic vatue - (please show your answer to 3 decimal ptaces. d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the conclusion is that ...…
A researcher decides to measure anxiety in group of bullies and a group of bystanders using a 23-item, 3 point anxiety scale. Assume scores on the anxiety scales are normally distributed and the variance among the group of bullies and bystanders are the same. A group of 30 bullies scores an average of 21.5 with a sample standard deviation of 10 on the anxiety scale. A group of 27 bystanders scored an average of 25.8 with a sample standard deviation of 8 on the anxiety scale. You do not have any presupposed assumptions whether bullies or bystanders will be more anxious so you formulate the null and alternative hypothesis based on that.