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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IQ tests are approximately normally distributed with a mean of 100 for adults. A tech company CEO wants to conduct a hypothesis test to see if the average IQ of employees at high-tech firms in California is higher than average. What is Type I error in the context of this problem?
(b) Compute the value of the test statistic. Round the answer to at least three decimal places.
What does it mean to say that there is a 1% chance of a Type I error?
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?
K 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: The home/visitor win is independent of the sport. H₁: The home/visitor win is not independent of the 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 dependent on the sport. H₁: The home/visitor win is not dependent on the sport. OD. Ho: Basketball games are more likely to win at…
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.)
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…
Describe a study in which you can use both nonparametric and parametric statistics. A researcher has participants expecting to receive either painful or mild electrical shocks during a study wait in a quarter-full waiting room with other participants. He then measures whether they choose to sit next to other participants or if they sit far away on their own. What is the best test to run for this study and why?
Diet Regular Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Use a 0.05 significance level. P2 21 21 0.79292 Ib 0.80886 Ib 0.00754 lb 0.00441 Ib Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and altemative hypotheses? O A. Ho: H1 = H2 H: 41 > H2 O B. Ho: H1 = H2 H: H H2 O C. Ho: Hi # Hz Hq:Hq
Motor Vehicle Fatalities The table below lists motor vehicle fatalities by day of the week for a recent year (based on data from the Insurance Institute for Highway Safety). Use a 0.01 significance level to test the claim that auto fatalities occur on the different days of the week with the same frequency. Provide an explanation for the results.

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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.