Help A local chess club claims that the length of time to play a game has a mean of 49 minutes or more, Write sentences describing type I and type || errors for ahypothesis test of this claim.V49 minutes, but youthe null hypothesis,A type I error will occur if the actual mean of the length of time to play a game isV 49 minutes, but youthe null hypothesis,A type Il error will occur if the actual mean of the length of time to play a game is

Type I error is the probability of rejecting the null hypothesis when it is actually true. Type II…

Answered: A local chess club claims that the…

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 new stockbroker (XYZ) claims that his brokerage fees are lower than that of your current stock broker's (ABC). Data available from an independent research firm indicates that the mean and std-dev of all ABC broker clients are $18 and $6, respectively. A sample of 100 clients of ABC is taken and brokerage charges are calculated with the new rates of XYZ broker. If the mean of the sample is $18.75 and std-dev is the same ($6), can any inference be made about the difference in the average brokerage bill between ABC and XYZ broker? An analyst believe that the average return of all Ghana stock was greater than 4. The sample size of 36 observation with a sample mean of 5 and the population standard deviation is 2. Will the analyst reject the null hypothesis at 5% level of significance? (p-value approach)
A new stockbroker (XYZ) claims that his brokerage fees are lower than that of your current stock broker's (ABC). Data available from an independent research firm indicates that the mean and std-dev of all ABC broker clients are $18 and $6, respectively. A sample of 100 clients of ABC is taken and brokerage charges are calculated with the new rates of XYZ broker. If the mean of the sample is $18.75 and std-dev is the same ($6), can any inference be made about the difference in the average brokerage bill between ABC and XYZ broker?
A recent study of 28 employees of XYZ company showed that the mean of the distance they traveled to work was 13.8 miles. The variance of the sample was 6.53 miles. Find the upper bound of the 95% confidence interval of the true mean
An academic Professor conducted a research aimed at exploring the experience andchallenges faced by people who are diagnosed with dementia and their families. If theprofessor perform a hypothesis test to decide whether the mean age of all people diagnosiswith initial occurrence of dementia is less than 55 years old. Based on the statement, explain,what each of the following would mean.i) Type I error.ii) Correct decision.iii) Type II error.
A 25-year old study of randomly selected 6000 adults from the United Kingdom noted four badhabits: 1)Smoking, 2) Drinking, 3) Lack of Exercise and 4) Poor Diet. The study looked to showthat there is a higher death rate (proportion who die in the 25-year period) among people with allfour bad habits than amongst people with none of the bad habits. What would be the result of a TYPE I ERROR.
The human resources department of a large investment bank announced that the number of people it interviews monthly has a mean of 105, with a variance of 262.44. The management of the bank suspects that the variance exceeds 262.44. Suppose that the management wants to take a small sample of months and carry out a hypothesis test to see if it's suspicious have support. State the thanks hypothesis Ho and alternative hypothesis H1 that it would use for this test.
A magazine reported that at the top 50 business schools in a region, students studied an average of 18.1 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 18.1 hour benchmark. State the null and alternative hypotheses.
A prominent travel agency claims that the mean cost of a four-day theme park vacation is $1500 per person. A researcher believes that the mean cost is much higher and decided to test the theory with a hypothesis test. According to the sample obtained, the decision is to fail to reject the null hypothesis. If, in reality, the mean cost of a four-day theme park vacation is $1500, was an error made with this hypothesis test? If so, what type?
A random sample of 20 newly-born baby boys showed an average weight of 7.40 pounds while a sample of 25 newly-born baby girls showed a mean weight of 6.50 pounds. If the variance of all newly-born babies are 1.25 pounds, can we say that newly-born baby boys are heavier than newly-born baby girls using the 0.05 level?
A prominent travel agency claims that the mean cost of a four-day theme park vacation is $1500 per person. A researcher believes that the mean cost is much higher and decided to test the theory with a hypothesis test. According to the sample obtained, the decision is to reject the null hypothesis. If, in reality, the mean cost of a four-day theme park vacation is $1500, was an error made with this hypothesis test? If so, what type?
A sample of 75 chewable vitamin tablets have a sample mean of 251 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet differs from 256 milligrams. State the appropriate null and alternate hypotheses.
Suppose that Felisha is a librarian, and she can read in a scholarly journal that the number of words in a children's picture books published since 1950 is normally distributed with a mean of 802.2 words and a standard deviation of 112.0 words. She wishes to construct a confidence interval for the mean number of words in all children's picture books after 2010, in case the number has changed in fencer years. Felisha took a random sample of 20 children's picture books published after 2010 and counted the number of words in all 20 books. Her data is presented in a stem leaf plot. 49, 51, 59, 60, 64, 65, 70, 73, 74, 76, 78, 81, 83, 84, 86, 91, 95, 99, 101, 107 Leaf unit = 10 Felisha calculated the mean of her sample to be 773.0 words, and now she wants to calculate the margin of error of a 90% confidence interval for the mean number of words in all books published after 2010. She assumes that the number of words in a children's picture book published after 2010 has the same normal…

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