Mr Xu invests £6,500 in an account that pays 3.4% compound interestper annum.After how many years will his investment double?You must show your working that must use compounding and not an iterative measure.Q2.f(x)H₁HoMAXXDWhat does the shaded (blue) region show?Shade in the regions for the (i) significance level (ii) wrongly accepting the Null-what type of error isthis.Q3. A random sample size of 225 is taken from an unknown distribution which gave a sum of samplevalues = 5850 and a sample variance of 81. Test the hypothesis that the population mean is not 27.5at the 5% S.L.At what level of significance would the null be rejected? What is this value called?

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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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What does it mean to say that there is a 1% chance of a Type I error?
Bias in Clinical Trials? Researchers investigated the issue of race and equality of access to clinical trials. The table below shows the population distribution and the numbers of participants in clinical trials involving lung cancer (based on data from "Participation in Cancer Clinical Trials," by Murthy, Krumholz, and Gross, Journal of the American Medical Association, Vol. 291, No. 22). Use a 0.01 significance level to test the claim that the distribution of clinical trial participants fits well with the population distribution. Race/ethnicity Distribution of Population Number in Lung Cancer Clinical Trials a) Test Statistic: b) Critical X²: c) P-Value: d) Conclusion: There Participation in Cancer Clinical Trials White non- hispanic 75.6% 3855 Hispanic Black 9.1% 60 sufficient evidence to support the claim. 10.8% 316 Asian/Pacific Islander 3.8% 54 American Indian/Alaskan Native 0.7% 12
What is p? What happens to type 1 and type 2 error when you raise and lower your p-value?
Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players, does it appear that baseball teams are effective in using this advantage? Click the icon to view the data table. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Basketball games are more likely to win at home than any other sport. H₁: Basketball games are not more likely to win at home than any other sport. OB. Ho: Basketball games are not more likely to win at home than any other sport. H₁: Basketball games are more likely to win at home than any other sport. OC. Ho: The home/visitor win is independent of the sport. H₁: The home/visitor win is not independent of the sport. O D. Ho: The…
Perception and Reality In a presidential election, 308 out of 611 voters surveyed said that they voted for the candidate who won (based on data from ICR Survey Research Group). Use a 0.05 significance level to test the claim that among all voters, the percentage who believe that they voted for the winning candidate is equal to 43%, which is the actual percentage of votes for the winning candidate. What does the result suggest about voter perceptions?
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 53 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.77; H1: p = 0.77 O Ho: p 0.77 O Ho: p = 0.77; H1: p 5 and ng > 5. O The standard normal, since np > 5 and ng > 5. The Student's t, since np < 5 and nq < 5. O The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 75% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 75% in Kit Carson County? Use ? = 0.10. (a) What is the level of significance? State the null hypothesis H0 and the alternate hypothesis H1 . H0 : p H1 : p (b) What sampling distribution will you use? The Student's tThe standard normal since np and nq What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. A plot of…
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What does the shaded (blue) region show? Shade in the regions for the (i) significance level (ii) wrongly accepting the Null-what type of error is this.