of nine cups is obtained. The machine is supposed to fill a cup with 250deviation of the content of the cups is 15 cc. Assume that the soup cup filling measurements follow anormal distribution.a. What are the hypotheses to be tested?b. What is the meaning of a Type I error? A Type II error?c. What is the decision rule for α = 0.10?16 On the average, tellers in a company make 15 errors a day with a standard deviation of 4.8 errorsper day. To evaluate the performance of a new teller, a sample of 36 days of his work is chosen. Themanagement has decided that if his average number of errors per day is less than 17, he will be keptin the job. Otherwise, they will dismiss him.a. What are the hypotheses to be tested?b. What is the meaning of a Type I error? A Type II error?c. What is the value of the Type I error for the given decision rule?d. What is the value of the Type II error if the actual mean error rate of the new teller is 20 errors peday?An oil company has a machine that fills 1,000 cc bottles with a particular hair tonic. If the mean "exceeds 1,000 cc, there will be a lot of spillage of the liquid. If the mean fill is below 1,000 cc, th-will be complaints from customers. To check the operation of the machine, 25 bottles are choat random and found to have a mean fill of 999,2 cc. The standard deviation of the machine fillknown from past tests to be 1.5 cc. Test the hypotheses using a 5% level of significance. Assumethe distribution of the fills is normal.

Answered: Image /qna-images/answer/25453095-d7c2-4244-9df5-3caf08cca585.jpg

Answered: 16 on the average, tellers in a company…

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 length of lumber is supposed to be 8.5 feet. A builder wants to check whether the shipment of lumber she receives has the correct length, so she conducts a hypothesis test. She measures 61 randomly selected pieces of lumber and finds they have a mean of 8.3 feet and standard deviation of 0.75 feet. With the help of Mathematics & R Studio: Conduct a hypothesis test to see whether she is justified to believe that the average is shorter than 8.5 feet?
1. If random samples of size 1200 are drawn from a population with mean 28 and standard deviation 3 , find the standard error of the distribution of sample means.Round your answer to three decimal places, if necessary.standard error = 2. If random samples of size 13 are drawn from a population with mean 5 and standard deviation 3 , find the standard error of the distribution of sample means.Round your answer to three decimal places, if necessary.standard error = 3. If random samples of size 50 are drawn from a population with mean 225 and standard deviation 60 , find the standard error of the distribution of sample means.Round your answer to three decimal places, if necessary.standard error = Enter your answer in accordance to the question statement
b. between 2 According to Cardweb.com the mean bank credit card debt for households FE07 was $7868 in 2004. Assume that mean was based on a random sample of 900 households and that the standard deviation of such debts for all households in 2004 was $ 2070. Make a 99% and a 99.22% confidence interval for the 2004 mean bank credit card debt for all households JAn alumni association wants to estimate the mean debt for this year's college graduates. It is known that the population standard deviation of the debts of this years college graduates is $11,800. How large a sample should be selected so that the estimate with a 99% confidence level is within $800 of the population mean How large a sample should be selected so that the estimate with a 94.64% confidence level is within 5900 of the population mean
A real estate agent claims that mean household incomes in Fairfax and Arlington are equal. Draw 32 residents randomly from Fairfax neighborhood we found the average income is $82,750 with population standard deviation $2900; while from 30 Arlington residents, the average income 81,200 with with population deviation $2225. If we go against the claim What is the p value ?
10. Angler magazine is seeking a representative sample of outdoor recreational enthusiasts to conduct a survey of its subscribers’ recreational plans for the next fishing season.On average, the population mean number of fishing days for subscribers is 21.6 days per season with a population standard deviation of 30.2 days. If Angler collects a sample of 56 respondents, what is the chance that the sample mean would be more than than 17 days per season?
Ma1.
The mean salary for a new teacher in your town is $51,000. You believe it is lower for new teachers in a neighboring town. State the null and alternative hypotheses.
18. About 3% of the population has a particular genetic mutation. 500 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such
You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2040. After surveying 17 of their vendors, you find that mean sales per week of the vendors sampled was $2110 with a standard deviation of $114.03. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
Q)In a certain large university, students spend on average $75 a month on pizza, with a standard deviation of $24.30.A marketing specialist plans to survey 225 students, and ask them to record how much they spent on pizza during April.(a) What would be the standard deviation of the sample mean?(b) What is the probability that the researcher will get a sample mean less than $72.5?
1. Vera Bradley, a U.S. handbag and luggage brand, recently surveyed a simple random sample of n = 320 customers who bought something from the newly launched winter collection. They would like to determine whether or not the mean age of the customers is below 35. If so, they will deliver a 2024 Spring collection catering to a younger crowd. Suppose they found that the sample mean was 34.7 years old and the population standard deviation was 4 years. What is the p-value associated with the test statistic?

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