1) The amount of money spent on a haircut by a Math 119 class is right skewed with a meanof $33 and a standard deviation of $38.a) Fill in the blank to find the sampling distribution of the sample mean when thesample size is 100.*~ ( )b) Use the CLT for sample means to find the probability that the sample mean of the 100students will be greater than $25. Round all results to four decimal places."c) Find the probability that the total amount spent for the 100 students exceeds $3747.2) Find t* for the following scenarios. Estimate with the closest value of n if it is not on thetable:a) 95% confidence with n = 14.b) 90% confidence with n = 71.c) 70% confidence with n = 31

As per our guidelines we are suppose to answer only one question. Given,mean(μ)=$33standard…

Answered: 1) The amount of money spent on a…

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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Twenty-six percent of all automobiles undergoing an emissions inspection at a certain inspection station fail the inspection. Suppose 20 randomly selected cars are tested. Round all answers three decimal places. 1)Find the mean number of cars which will fail the inspection.2) Find the standard deviation of the number of cars that will fail the inspection.
Sketch the distribution, show the mean and standard error, and shade the part of the curve corresponding to your calculation. Suppose that at a large university, 34% of the students decide to take their classes online. 2. Now, if the researcher takes a different sample of 1000 students, what is the probability that at least 35% of the new sample will decide to take classes online?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 247 feet and a standard deviation of 53 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 192 feet? P(fewer than 192 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 204 feet? P(more than 204 feet) = %
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 43 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? P(more than 216 feet) =
n a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 21 scores from all of the students who took the test. She sees that the mean score is 128 with a standard deviation of 41.4416. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 25. Is there evidence that the standard deviation of test scores has increased at the α=0.005 level? Assume the population is normally distributed. Step 1 of 5 : State the null and alternative hypotheses. Round to four decimal places when necessary.
The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in their name from a sample of 166 people. Complete the table. xx CountCount 0 45 1 43 2 32 3 46 Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places. Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.
The questions are in the screenshot. Please answer each question separately.
Is the difference between the mean annual salaries of registered nurses in State A and State B equal to $10,500? To decide, you select a random sample of registered nurses from each state. The results of each survey are shown. Assume the population standard deviations are o, = $8337 and o, = $7633. At a = 0.01, what can you conclude? Registered Nurses in State A Registered Nurses in State B 75,695 70,695 %3D %3D X1 X2 n1 30 n2 25 What are the null and alternative hypotheses for this test? A. Ho: H1 - H22 10,500 Ha: H1 - H2 10,500 Ha: H1 - H2s 10,500 O F. Ho: H1 - H2 S 10,500 Hai H1 - H2 > 10,500 Determine the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Solve the following by concept of normal distribution and graph clearly. Show your complete solution and write clearly and readable. Thank you. In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. A.) draw a normal curve distribution showing the z scores and raw scores. B.) Find the age such that 75% are below it. (Normal curve in letter A is the normal curve for letter B).

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