In an election, a news agency plans to collect a voter sample to determine the percentage of votes a candidate will receive. The agency find 40 persons vote for the candidate in a sample of 100 voters. (a) Can the agency conclude that the candidate will receive less than 50% of votes in the election at the a = 0.05 level of significance? (b) In the test of (a), what is the power of test if the true percentage of votes is 45%?
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- An economist compiled data on productivity improvements last year for a sample of firms producing electronic computing equipment. The firms were classified according to the level of their average expenditures for research and development in the past three years. The results of the analysis of the study were as given below: Source of variation d.f Sum of squares Mean Sum of squares 2 23 groups error total 16.623 B 30.678 A сThe manufacturer bakery had provided us with their specification limit, which was 145 g -155 g. Out of the 50 biscuit packets, it was observed that 5% weighed between 145.5 g and 146 g while 2% of the packets weighed between 153.95 g and 154.5 g. Which of the following groups can be categorised as bad quality? The 5% of the sample that weighed between 145.5 g and 146 g. The 2% of the sample that weighed between 153.95g and 154.5g. Both of the groups. None of the above.Please see below. Note that the answer IS NOT 60.
- In sample 400 parts manufactured by a factory, the number of defective parts was found to be 30. The company, however, claimed that almost 5% of their product is defective. Is the claim tenable?ou would like to get the highest paying job possible after graduating from UCR and are currently deciding vhether to enroll in ECON 108 in the fall term or not. You find a sample of recent UCR graduates that majc n Economics (there are no double majors in the samples). You sampled 100 Economics majors that took ECON 108 and you find that the average starting salary is 72K dollars, with a sample standard deviation of 10K dollars. You sampled 75 Economics majors that did not take ECON 108 and you find that the average starting salary is 65K dollars, with a sample standard deviation of 15K dollars. Which of the following statements is most correct? O I am not very confident in the results of my hypothesis test because the range in which I fail to reject the null hypothesis is relatively large. O I want to be very confident in the results of my hypothesis test, so the range in which I fail to reject the null hypothesis is relatively large. O The range in which I fail to reject is small, so…Question: In a survey of buying habits, 400 women shoppers are chosen at random in super market 'A' located in a certain section of the city. Their average weekly food expenditure is dollar 250 with a standard deviation of Dollar 40. For 400 women shoppers chosen at random in super market 'B' in another section of the city, the average weekly food expenditure is Dollar 220 with a standard deviation of Dollar 55. Test at 1% level of significance whether the average weekly food expenditure of the two populations of shoppers are equal.
- A simple random sample of 8 employees of a corporation provided the following information. Employee Age Gender 1 2 3 21 37 26 W M W 4 5 6 7 8 44 48 50 25 22 W W M M M (a) Determine the point estimate for the average age of all employees. (b) What is the point estimate for the standard deviation of the population? (Round your answer to four decimal places.) (c) Determine a point estimate for the proportion of all employees who are female.Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly selected, what is the probability that the subject is not lying? Is the result close to the probability of 0.424 for a negative test result? Consider the result close if the absolute difference is less than 0.050. Did the Subject Actually Lie? No (Did Not Lie) 14 27 Positive test results Negative test results Yes (Lied) 39 12 C The probability that a randomly selected polygraph test subject was not lying is (Type an integer or decimal rounded to three decimal places as needed.) Is the result close to the probability, rounded to three decimal places, of 0.424 for a negative test result? Consider the result close if the absolute difference is less than 0.050. because there is a 0.050 absolute difference between the probability of a true response and the probability of a negative test result.A large milling machine produces steel rods to certain specifications. The machine is considered to be running normally if the standard deviation of the diameter of the rods is at most 0.42 millimeters. The line supervisor needs to test the machine is for normal functionality. The quality inspector takes a sample of 45 rods and finds that the sample standard deviation is 0.49. What is the test statistic? Select one: а. 59.89 b. 48.63 с. 50.50 d. 52.45
- One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered "no" to the question, 14 were female. Of the 65 that answered "yes" to the question, 30 were female.a)Draw a completed contingency table, showing totals, to illustrate the information above. b)If one person was randomly selected, what is the probability that the person is:(i) female? (ii) female or responded “no”? (iii) female given that they responded “no”?For x = 15, n = 35 test the claim that p > 0.3The power of a test is 0.981. What is the probability of a Type II error? (Round your answer to 3 decimal places)