A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. Thesalaries (in dollars) for a random sample of 30 managers in the state are listed. At x = 0.09, is there enough evidence to support the claim? Use technology.72,73377,50471,710A. Ho: μ ≥ 83,000H₂:μ< 83,00086,67881,20092,078(a) Identify the null hypothesis and alternative hypothesis.D. Ho: μ> 83,000H₂:μ≤83,00092,11193,70294,918(b) Identify the standardized test statistic.94,55975,99070,45597,28192,99185,099B. Ho: μ = 83,000Ha: μ#83,000E. Ho: μ≤83,000Ha: μ> 83,000Z = 1.91(Round the final answer to two places as needed. Round all intermediate values to three places as needed.)(c) Find the P-value. Use technology.(Round to three decimal places as needed.)92,72087,94392,45592,97595,64099,02993,89583,86470,547C. Ho: μ#83,000Ha: μ = 83,000F. Ho: μ> 83,000H₂:μ≤ 83,00072,82685,38887,52886,97991,70470,712U Test the claim about the population mean μ at the level of significance a. Assume the population is normally distributed.Claim: μ<4915; a = 0.02 Sample statistics: x=5017, s=5613, n = 54What are the null and alternative hypotheses?Ho:μ4915Ha: μ < 4915(Type integers or decimals. Do not round.)Find the standardized test statistic t.t = 0.13(Round to two decimal places as needed.)Find the P-value.P=(Round to three decimal places as needed.)

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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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A team of ten (10) construction workers who are working on a project are classified according to the skill levels, Classes A to D. The table below shows the number of workers in each of the four (4) classes and their respective hourly pay-rate. Pay-rate (Rands/hour) Number of workers Class A 80 Class B 60 Class C 55 Class D 50 4. Calculate the mean hourly pay-rate for the 10 workers. A. R24.50/hour B. R57/hour C. R57.50/hour D. R61.75/hour
After the pandemic hit and people were forced to spend more time indoors, there have been a suspicion among health professionals. that people are eating more and thus gaining weight. In 2018, the average weight of 192 pounds, and health experts want to know if that average weight of the American male has gone up during this pandemic. d. A sample of 50 American males yeilded a sample average weight of 195 pounds and a sample standard deviation of 14.5 pounds. What is your conclusion at the 5% level of significance? (be sure to state your conclusion in the context of this problem) e. Would your conclusion change if the level of significance were changed to 1%? Briefly explain.
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A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. 1.96,-1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon. OB. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. OC. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. D. Fail to reject Ho. There is sufficient…
Answer.
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
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3)A recent survey indicated that the average amount spent for breakfast by business managers was $8.0 with a standard deviation of $2.5. It was felt that breakfasts on the West Coast were higher than $8.0. A sample of 81 business managers on the West Coast had an average breakfast cost of $8.5. Find the P-value for the test. A 0.0319 B. 0.9641 C 0.0359 D. 0.2734

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