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STATS Assignment Question

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30, this is a Z test.Null HypothesisH0: u = 700 Alternative HypothesisHa:u (not equal) 7001. What is the test statistic? What is the p-value?2. At a 5% significance level (95% confidence level), what is the critical value(s) in this test? Do we reject the null hypothesis?3. What are the border values of x between acceptance and rejection of this hypothesis?Questions 4 through 7 involve rolling of dice.4. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a?1? each time?5. What is the probability of getting ?1? on the second roll when you get a ?1? on the first roll?6. The house managed to load the die in such a way that the faces ?2? and ?4? show up twice as frequently as all other faces. Meanwhile all other docs will show up with equal frequency. What twiceis the probability of getting a ?5? when rolling this loaded die?7. Write the probability distribution for this loaded die, showing each outcome and its probability.X31445Y2-25488. Determine SSxx, SSxy, and SSyy.9. Find the equation of the regression line. What is the predicted value when x = 4?Use the data below to answer Questions 10t hrough 12.A group of students from three universities were asked to pick their favorite college sport to attend of their choice: The results,in number of students,are listed as follows:FootballBasketballSoccerMaryland607020Duke107515UCLA356525Supposed that a student is randomly selected from the group mentioned above.10. What is the probability that the student is from UCLA or chooses football?11. What is the probability that the student is from Duke, given that the student chooses basketball?12. What is the probability that the student is from Maryland and chooses soccer?Use the information below to answer Questions 13 and 15.There are 4000 mangoes in a shipment. It is found that it a mean weight of 15 ounces with a standard deviation of 2 ounces.13. How many mangoes have weights between 14 ounces and 16 ounces?14. What is the probability that a randomly selected mango weighs less than 14 ounces?15. A quality inspector randomly selected 100 mangoes from the shipment.a. What is the probability that the 100 randomly selected mangoes have a mean weight less than 14ounces?b. Do you come up with the same result in Question 14? Why or why not?16. Suppose that in a box of 20 iPhone devices, there are 5 with defective antennas. In a draw without replacement, if 3 iPhone devices are picked, what is the probability that all 3 have defective antennas?Use the information below to answer Questions 17 and 18.Benford's law, also called the first-digit law, states that in lists of numbers from many (but not all) real-life sources of data, the leading digit is distributed in a specific, non-uniform way shown in the following table.Leading 123456789digitDistr of leading digit30.117.612.59.77.96.75.85.14.6The owner of a small business would like to audit its account payable over the past year because of asuspicion of fraudulent activities. He suspects that one of his managers is issuing checks to nonexisting vendors in order to pocket the money. There have been 790 checks written out to vendors bythis manager. The leading digits of these checks are listed as follow: 50, 15, 12, 74, 426, 170, 11, 23, 917. Suppose you are hired as a forensic accountant by the owner of this small business, what statisticaltest would you employ to determine if there is fraud committed in the issuing of checks? What is thetest statistic in this case?18. What is the critical value for this test at the 5% significance level (95% confidence level)? Do thedata provide sufficient evidence to conclude that there is fraud committed?Hypothesis Test versus Confidence Interval ? Questions 19 through 21Random samples of size n1=55 and n2 = 65 were drawn from populations 1 and 2,respectively. The samples yielded?? =.?????? =.?.??Test Ho: (p1-p2) = 0 against Ha: (p1-p2) >0 using? =.05.19. Perform a hypothesis test of p1 = p2 with a 5% significance level (95% confidence level).20. Obtain a 95% confidence interval estimate of p1 - p2.21. Do you come up with the same conclusion for Question 19 and Question 20? Why or why not?You are also given that. Absolute value of x=7.9922. What is the test statistic?23. Use a 5% significance level (95% confidence level) to test the claim that the different collectionshave the same mean hardness.24. The probability that an individual egg in a carton of eggs is cracked is 0.03. You have picked out acarton of 1 dozen eggs (that?s 12 eggs) at the grocery store. Determine the probability that at most oneof the eggs in the carton are cracked.25. In a group lineup of 7 models in a commercial, 3 are male and 4 are female. In how many ways canyou arrange 3 models in a lineup if the first and the third must be a male but the second one must be afemale?PairSample Pop 1 (obser 1)Sample Pop 2 (obser 2)174231397462544687The data for a random sample of six paired observations are shown in the table above.a) Compute? and Sd?b) Express?d in terms of?1 and?2.c)Form a 95% confidence interval for?d.d)Test Ho:?d= 0 against Ha:?d=? 0. Use? =.0527. Peter, Paul, Mary, John and Martha are members of the pastoral council at a local church. They areto be seated at one side of a long conference table in a pastoral council meeting.a) How many possible ways can these 5 council members be seated?b) How many possible sitting arrangements are there if only gender is considered in the process?28. How many social robots would need to be sampled in order to estimate the proportion ofrobots designed with legs, no wheels to within.075 of its true value with 99% confidence. Given that arandom sample of 106 robots showed that 63 were designed with legs, no wheels.29. Composite sampling is a way to reduce laboratory testing costs. A public health department istesting for possible fecal contamination in public swimming pools. In this case, water samples from 5pools are combined for one test, and further testing is performed only if the combined sample showsfecal contamination. Based on past experience, there is a 3% chance of finding fecal contamination in apublic swimming area. What is the probability that a combined sample from 5 swimming pools hasfecal contamination? Recall that P(A) +P(not A) = 1.0.30 A random sample of five accidents resulted in the following number of persons injured: 18, 15, 12,19, & 21. Using the.01 significance level, can we conclude the population mean is less than 20 for allaccidents?a) State Ho and Ha?b) Test statistic =?c) Critical value =?d) Reject Ho: (yes or no)

 

Paper#61724 | Written in 18-Jul-2015

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