The piston diameter of a certain hand pump is 0.5 inch. The manager determines that the diameters are normally distributed, with a mean of 0.5 inch and a standard deviation of 0.006 inch. After recalibrating theproduction machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0043 inch. Is there significant evidence for the manager to conclude that the standard deviation hasdecreased at the a= 0.01 level of significance?What are the correct hypotheses for this test?The null hypothesis is HoThe alternative hypothesis is H₁:▼ ▼▼

Answered: The piston diameter of a certain hand…

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 piston diameter of a certain hand pump is 0.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.7 inch and a standard deviation of 0.003 inch. After recalibrating the production machine, the manager randomly selects 25 pistons and determines that the standard deviation is 0.0026 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is H₂: = 0.003. The alternative hypothesis is H₁: Calculate the value of the test statistic. 6 n example X = (Round to two decimal places as needed.) D 0.003. Get more help - # Clear all
A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.92 fluid ounces and 0.24 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 6 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal…
Symbol Company Price ($) Yield AT&T 33.59 5.48% VZ Verizon 46.78 4.70% CVX Chevron 112.18 3.82% MCD McDonald's 93.70 3.63% PFE Pfizer 31.15 3.60% GE General Electric 25.27 3.48% MRK Merck 56.79 3.17% САТ Caterpillar 91.53 3.06% Хом ExxonMobil 92.45 2.99% ко Соса-Cola 42.22 2.89% If you selected two of these stocks at random, what is the probability that both the stocks in your selection had yields of 3.25% or more? (Enter your probability as a fraction.) Enter a fraction, integer, or exact decimal. Do not approximate.
The piston diameter of a certain hand pump is 0.8 inch. The manager determines that the diameters are normally distributed, with a mean of 0.8 inch and a standard deviation of 0.004 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: The alternative hypothesis is H,: Calculate the value of the test statistic. x= (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is. (Round to three decimal places as needed.) What is the correct conclusion at the a= 0.10 level of significance? Since the P-value is than the level of significance, V the null hypothesis. There V sufficient evidence to conclude that the standard deviation…
Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.35, and a sample of 43 ships that carry 500 or more passengers provided an average rating of 81.60. Assume that the population standard deviation is 4.54 for ships that carry fewer than 500 passengers and 3.99 for ships that carry 500 or more passengers. Round your all answers to two decimal places. a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships? to
The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager randomly selects 23 pistons and determines that the standard deviation is 0.0051 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.01 level of significance? x2 = (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) Enter your answer in each of the answer boxes: OVi 11:54 hp esc DII %23 %24 96 backspac 6 e r t f k a m alt ctri alt Op USE YOUR S Revlews Sp
The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0051 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a 0.05 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: o 0.007. The alternative hypothesis is H,: o 0.007. Calculate the value of the test statistic. x 14.863 (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is. (Round to three decimal places as needed.)
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 piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.003 inch. After recalibrating the production machine, the manager randomly selects 28 pistons and determines that the standard deviation is 0.0027 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is H₂: 0 M The alternative hypothesis is H₁: Calculate the value of the test statistic. x² = (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the α = 0.10 level of significance? Since the P-value is than the level of significance, the null hypothesis. There C sufficient evidence to conclude that the standard…
The manager of a computer retail store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.9 years and a standard deviation of 0.6 years. He then randomly selects records on 47 laptops sold in the past and finds that the mean replacement time is 3.7 years. Assuming that the laptop replacement times have a mean of 3.9 years and a standard deviation of 0.6 years, find the probability that 47 randomly selected laptops will have a mean replacement time of 3.7 years or less. P(M≤ 3.7 years) - Enter your answer rounded to 4 decimal places.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.8 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 8.0 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
The piston diameter of a certain hand pump is 0.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.7 inch and a standard deviation of 0.004 inch. After recalibrating the production machine, the manager randomly selects 22 pistons and determines that the standard deviation is 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the α=0.01 level of significance? What are the correct hypotheses for this test? The null hypothesis is H0: muμ sigmaσ pp less than< not equals≠ equals= greater than> 0.0035. 0.004. The alternative hypothesis is H1: sigmaσ muμ pp not equals≠ equals= greater than> less than< 0.0035. 0.004. Calculate the value of the test statistic. χ2 = Use technology to determine the P-value for the test statistic. The P-value is What is the correct conclusion at the α=0.01 level…

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