In which of the following years (see attached below) did the number of graduate student applications increase the most from that of the previous year? QZ.pdf 1985 OA. 1986 В. 1990 1991 NUMBER OF GRADUATE STUDENT APPLICANTS AT UNIVERSITY X, 1982-1991 1,400 1,200 1,000 800 600 400 200 '82 '83 '84 '85 '86 '87 '88 '89 90 '91
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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- The following table indicates the unit prices (in Rands) and quantities of three goods purchased every month by a bakery for the years 2022 and 2023.GOOD20222023Unit Price (p0)Quantity (q0))Unit Price (p1)Quantity (q1)EggsR2.602550R2.852700FlourR61.00109R64.00103Sesame seedsR115.00345R118.5039523 2023© The Independent Institute of Education (Pty) Ltd 2023Page 7 of 8Q.3.1Using 2022 as the base year, compute the price relatives in 2023 for eggs and sesame seeds. Interpret your answers.(10)Q.3.2Using 2022 as the base year, compute the Laspeyres price index for all of the goods for 2023. Interpret your answer.(8)Q.3.3Using 2022 as the base year, compute the Paasche price index for all of the goods for 2023. Interpret your answer.(7)[TOTALUse the following contingency table: a b c Total 1 10 30 50 90 2 40 45 50 135 Tot 50 75 100 225 a. Compute the expected frequency for each cell. b. Compute xSTAT2. Is it significant at a=0.05?A marketing research group found that 25% of the 200 shoppers, it recently interviewed at a certain shopping center, resided more than 12 miles from the center. Assume that a random sample was taken, construct a 95% C.I. for the actual; percentage of shoppers who live more than 15 miles from that center.
- The following data have been collected on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting or more hours over a -month period. Number of Units (1,000s) Number of Times Owner Occupied Renter Occupied 0 548 23 1 5,012 541 2 6,110 3,734 3 2,544 8,660 4 times or more 557 3,784 Do not round intermediate calculations. Round your answers to two decimal places. a. Define a random variable number of times that owner-occupied units had a water supply stoppage lasting or more hours in the past months and develop a probability distribution for the random variable. (Let represent or more times.) x f(x) 0 1 2 3 4 Total b. Compute the expected value and variance for x. E(x) Var(x) c. Define a random variable number of times that renter-occupied units had a water supply stoppage lasting or more hours in the past months and develop a probability…An industry trade publication stated that the average profit per customer for this industry was at least $4500. Using a test of hypothesis, do the data support this claim or not Customer Percent Gross Profit Gross Sales Gross Profit Industry Code Competitive Rating* 1 51.0% $170.00 $86.70 1 2 2 32.0% $181.00 $57.92 3 4 3 20.0% $203.00 $40.60 2 2 4 22.0% $249.00 $54.78 5 1 5 21.0% $476.00 $99.96 5 1 6 21.0% $476.00 $99.96 5 4 7 22.0% $635.00 $139.70 2 3 8 34.0% $856.00 $291.04 3 3 9 26.0% $1,062.00 $276.12 4 2 10 16.6% $1,110.00 $183.71 7 3 11 20.0% $1,153.00 $230.60 7 3 12 36.0% $1,392.00 $501.12 4 2 13 18.0% $1,743.00 $313.74 4 2 14 20.0% $2,307.00 $461.40 7 3 15 5.0% $2,534.00 $126.70 4 5 16 29.0% $2,683.00 $778.07 7 2 17 10.0% $2,780.00 $278.00 2 3 18 37.0% $3,272.00 $1,210.64 5 3 19 60.0% $3,864.00 $2,318.40 7 1 20 24.0% $3,988.00 $957.12 6 3 21 9.0% $4,072.00 $366.48 7 3 22 50.0% $4,190.00 $2,095.00 5 3 23 17.0% $4,219.00 $717.23 3…Are the following results significant at α=.01? F(2,27) =10.56, p=.02
- The average 1-year-old is 29 inches tall. A random sample of 30 one-year-olds in a large day carefranchise resulted in the following heights. At a = 0.05, can it be concluded that the averageheight differs from 29 inches? Assume o = 2.61 2532 35 25 30 26.5 26 25.5 29.5 32 28.5 30 32 28 31.5 30 27 28 33 28 29 32 29 27 29.5 32 30 29 34 29.5Are the following results significant at α=.01? F(2,27) =19.56, p=.001 .Yes .NoA survey among the workers in a large manufacturing company was taken, in order to findout from which company the workers had purchased their mobile phones, and to find outwhether the choice of mobile phone company was related to the type of worker. The resultsare shown in the table below. ls there evidence, at 5% level, that the choice of Phone Company is independent of the type ofworker?
- A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 535 24 Cola 10 559 15 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use ? = 0.05.) State the relevant hypotheses. (Use ?1 for the strawberry drink and ?2 for the cola.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≥ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H0. The…A law enforcement agent hypothesizes that more than 25% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 50 drivers were stopped for speeding on a Saturday night. 14 of the drivers in the sample were under the influence of alcohol. Use α = 0.05 to test the followinghypotheses: H0 : p ≤ 0.25 Ha : p > 0.25 Compute the test statistic.