College Algebra (MindTap Course List)
12th Edition
ISBN: 9781305652231
Author: R. David Gustafson, Jeff Hughes
Publisher: Cengage Learning
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- Answer D,E,F only. Thank you. Answer (a). Arrange the observations in ascending order. The 55th percentile can be calculated as, Pk=kn+1th100P55=5545+1100=25.3=25th+0.326th-25th=1049+0.3(1063-1049)=1053.2 The 9th decile can be calculated as, Dk=kn+1th10D9=945+110=41.4=41th+0.442th-41th=1250+0.4(1250-1217)=1230.2 The 3rd quartile can be calculated as, Qk=kn+1th4Q3=345+14=34.5=34th+35th2=1157+11572=1157 Answer (b). The two observations 521 and 785 are deleted because these observations does not lie in given class interval. The class width is calculated as, class width=maximum-minimumnumber of intervals=1340-8017=77 According to class width the class intervals and frequency table is given as, class interval frequency 801-878 5 878-955 11 955-1032 5 1032-1109 7 1109-1186 7 1186-1263 5 1263-1340 3arrow_forwardA large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders Married Policyholders 350 1,000 Number making claims = 70 Number making claims = 150 a. Use l= 0.05 Test to determine whether the claim rates differ between single and married male policyholders. z-value (to 2 decimals) p-value (to 4 decimals) b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number.arrow_forwardfind the 95% c.I for the mean selling price of 1300 sq ft condos remember n=5 , b0=-32.7, b1=7.5 ,, x=11 , ssxx=22, mse=28.433333arrow_forward
- The amount of annual rainfall in a city over the past 100 years follows a normal curve with average of 26 inches and SD of 1.5 inches. Fill in the blank. An annual rainfall of 28.1 inches in 2021 was at the ____th percentile of the rainfall distribution.arrow_forwardstate whether the parameter of interest is a mean or a proportion: a survey reports that local t news has shown a 17% increase in revenue within a two year period while newspaper revenues decreased by 6.4% during this time period.arrow_forwardThe histogram to the right shows the times between eruptions of a geyser for a sample of 300 eruptions (which means 299 times between eruptions). Over the histogram, draw a smooth curve that captures its general features. Describe the distribution in terms of its number of modes, its symmetry or skewness, and its variation. Chose the correct answer below. Frequency 60- 40 20- OA. three modes, symmetric, wide variation. B. one mode, symmetric, low variation C. two modes, left-skewed, wide variation. OD. one mode, right-skewed, moderate variation 0- 50 60 70 80 90 100110 4 ہے Q Q Qarrow_forward
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- The number of cans of soft drinks sold in a machine each week is recorded below. Develop forecasts for the period indicated and error calculations. 155, 145, 155, 162, 180, 165, 172, 149, 170, 172 Exponential smoothing. Use an alpha level of .8 What is the forecast for week 10? What is the Mean Absolute Error (MAE)?arrow_forwardThe average price for one square metre of land is recorded for seven different locations in Melbourne, Australia. The following table shows the average prices for these zoom in 1 the distances from the centre of the Melbourne city. This data is also shown on the scatter diagram below. Distance from city centre, km (x) Price for 1 m² of land, in thousands AUD (y) 1.2 a 3.1 3.3 4.8 5.2 2.4 1.8 1.4 1.3 0.8 2.5 1.5 0.5 1 3 4 6 Distance (km) (a) Use the scatter diagram to find the value of a and b in the table. 15 16 (b) Calculate (i) the mean distance from the Melbourne city centre, ; 17 (ii) the mean 1 m² price, in thousands AUD, ğ; 18 (iii) the Pearson's product-moment correlation coefficient, r. 19 (c) Write down the equation of the regression line y on x. 20 (d) Use the line of the regression equation to estimate the price of 1 m² of the land 4 km from the Melbourne city centre. State whether your estimate is reliable and justify your answer. 21 22 1 m² price (thousand AUD)arrow_forwardCalcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.15 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. Complete parts (a) through (c) below. Click the icon to view the data table. (a) State the hypotheses for determining if the mean concentration of calcium precipitation has changed since 1990. Но Ho: 0.15 mg/L H1: 0.15 mg/L i Data Table (b) Construct a 95% confidence interval about the sample mean concentration of calcium precipitation. The lower bound is The upper bound is (Round to four decimal places as needed.) 0.237 0.067 0.224 0.126 0.081 0.131 0.075 0.171 0.314 0.091 (c) Does the sample evidence suggest that calcium concentrations have changed since 1990? Print Done A. Yes, because the confidence interval does not contain 0.15 mg/L. B. Yes, because the confidence interval contains…arrow_forward
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