Examine the unweighted methods of index number in the light of the order reversal test with reference to the following data : 1995 Commodity 1998 Price Quantity Price Quantity 4. 10 12 6. 8 7 10 10 12 4 3 12 4 15 5 7 8. ABCDE
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- A random survey of enrollment at 10 community colleges across the United States yielded the following figures: 2523; 1707; 5420; 2835; 1129; 5452; 2360; 1448; 2958; and 4110. What is the 99% Error Bound (EBM) of the population mean?A manufacturer claimed that at least 98% of the steel pipes which he supplied to a factoryconformed to specifications. An examination of a sample of 500 pieces of pipes revealedthat 30 were defective. Test this claim at a significance level of 0.05.A recent poll revealed the political affiliations of 237 Americans, along with the region of the country in which they reside. Democrat Independent Republican Northwest 14 12 20 Southeast 29 23 49 West 35 18 37 To test whether the region of residence and political affiliation were related, one of the pollsters computed a chi-square statistic, ?2=2.7245, with four degrees of freedom and set an alpha (?) level of 0.05. Determine the ?-value of the chi-square statistic in this test for independence and report it to at least three decimal places. You will need to use some kind of software (statistical package or calculator that does statistical computations) to get the ?-value that precisely. P =
- To test whether the enactment of seatbelt legislation had any association with injuries to vehicle users, a random sample of 7676 individuals taken over a two-year period (one year prior legislation and one year post legislation) was used. The results are detailed below. Post Legislation Prior Legislation Total No Injury 1320 5430 6750 Minimal Injury 70 552 622 Major Injury 32 224 256 Fatal Injury 10 38 48 Total 1432 6244 7676 What is the p-value (rounded to 4 decimal places)?A recent insurance industry report indicated that 40 percent of those persons involved in minor traffic accidents this year have been involved in at least one other traffic accident in the last five years. An advisory group decided to investigate this claim, believing it was too large. A sample of 200 traffic accidents this year showed 74 persons were also involved in another accident within the last five years. Use the .01 significance level.When companies are designing a new product, one of the steps typically taken is to see how potential buyers react to a picture or prototype of the proposed product. The product-development team for a notebook computer company has shown picture A to a large sample of potential buyers and picture B to another, asking each person to indicate what they "would expect to pay" for such a product. The data resulting from the two pictures are provided in file (sheet 6). Using the 0.05 level of significance, determine whether the prototypes might not really differ in terms of the price that potential buyers would expect to pay. Sheet 6 ComputerA ComputerB 3 317 2 965 2 680 3 083 3 286 3 137 2 859 2 950 2 693 3 161 2 945 2 918 2 908 3 158 3 193 3 082 3 240 2 903 3 040 3 103…
- On snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in which the mean stopping distances on a snow-covered road are measured for each of four brands of winter tires. If the data are as shown in Sheet 48, what conclusion would be reached at the 0.01 level of significance? Shett 48 Supplier A 517 484 463 452 502 447 481 500 485 566 Supplier B 479 499 488 430 482 457 424 488 526 455 Supplier C 435 443 480 465 435 430 465 514 463 510 Supplier D 526 537 443 505 468 533 481 477 490 470 Select one: a) p-value = 0.28 greater than 0.05, the average distance is different for at list two tires b) F stat = 1.86, F crit = 4.38, not enough evidence to claim that the average distance is different for at list two tires c) F ratio = 4.38, not enough evidence to claim that the average distance is different for at list two tires d) F stat = 0.68, F…A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean differenceA pharmacist claims that more than 60% of all customers simply collect a prescription. One of her assistants notes that in a random sample of 12 customers, 10 simply collected a prescription. Does this provide sufficient evidence to support the pharmacist’s claim? Evaluated on a TI 83 calculator
- One research study of illegal drug use among 12- to 17-year-olds reported a decrease in use (from 11.4% in 1997) to 9.89.8% now. Suppose a survey in a large high school reveals that, in a random sample of 1 comma 0551,055 students, 9595 report using illegal drugs. Use a 0.05 significance level to test the principal's claim that illegal drug use in her school is below the current national average. Question content area bottom Part 1 Formulate the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0H0: pequals=0.0980.098 Upper H Subscript aHa: pless than<0.0980.098 Your answer is correct. B. Upper H 0H0: pless than<0.0980.098 Upper H Subscript aHa: pequals=0.0980.098 C. Upper H 0H0: pequals=0.0980.098 Upper H Subscript aHa: pgreater than>0.0980.098 D. Upper H 0H0: pequals=0.0980.098 Upper H Subscript aHa: pnot equals≠0.0980.098 Part 2 Find the test statistic. zequals=enter…Since an instant replay system for tennis was introduced at a major tournament, men challenged 1386 referee calls, with the result that 421 of the calls were overturned. Women challenged 745 referee calls, and 222 of the calls were overturned Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls, Complete parts (a) through (e) below.What would be the obtained z-score if the IQ SCORES in the examples are computed using the standard binet intelligence test?