Which of the following tables represents a valid probability mass function for scores in a single throw of a biased die? Select the correct response.: none of these xi 0 123 4 56 7 pi 1/7 1/7 1/7 1/7 1/7 1/7 1/7 1/7 xi 0 123 4 5 6 pi 1/6 1/4 1/2 1/3 1/15 1/22 1/6 Xi 1 4 5 6 1/ Pi 6. 1/ 1/ 1/ 6. 6. 6. 1/ 1/ 6. 6. 2.
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- Use the standard error to construct a approximate prediction interval for Y using an alpha of 5%. (Round your answer to 2 decimal places x x Fuel Economy of Selected Vehicles (n = 73, k = 4) Obs Vehicle CityMPG Length Width Weight ManTran 1 Acura TL 20 109.3 74.0 3968 0 2 Audi A5 22 108.3 73.0 3583 1 3 BMW 4 Series 428i 22 182.6 71.9 3470 0 4 BMW X1 sDrive28i 23 176.5 70.8 3527 0 5 Buice LaCrosse 18 196.9 73.1 3990 0 6 Buick Enclave 17 201.9 79.0 4724 0 7 Buick Regal 21 190.2 73.1 3692 0 8 Cadillac ATS 22 182.8 71.1 3315 0 9 Cadillac CTS 20 195.5 72.2 3616 0 10 Cadillac Escalade 14 202.5 79.0 5527 0 11 Chevrolet Camaro 1SS 16 190.6 75.5 3719 1 12 Chevrolet Cruze LS 26 181.0 70.7 3097 0 13 Chevrolet Impala LTZ 19 201.3 73.0 3800 0 14 Chevrolet Malibu 2LT 25 191.5 73.0 3532 0 15 Chevrolet Spark LS 31 144.7 61.0 2269 1 16 Chevrolet Suburban LTZ 15 224.0 80.5 5674 0 17 Chrysler 200 Touring LX 20 191.7 72.5…Consider the following information on ultimate tensile strength (lb/in) for a sample of n = 4 hard zirconium copper wire specimens (from “Characterization Methods for Fine Copper Wire,” Wire J. Intl., Aug., 1997: 74-80): X (bar)= 76,831 s = 180 smallest xi = 76,683 largest xi = 77,048Determine the values of the two middle sample observations (and don’t do it by successive guessing!).Recently, the annual number of driver deaths per 100,000 for the selected age groups was as follows: Age Number of Driver Deaths per 100,000 16–19 38 20–24 36 25–34 24 35–54 20 55–74 18 75+ 28 Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data For each age group, pick the midpoint of the interval for the X value. (For the 75+ group, use 80.)
- An electrical engineer wishes to determine if, among two specific municipal buildings in town, Building “North” and Building “South”, whether the tensile strength of pipes (in psi) is not the same in each of these two buildings. A sample of pipes was chosen at random from both Building “North” and Building “South”, respectively. Using α = 0.05, which of the following statistical test, or parameter, would be best for determining whether tensile strength of pipes (in psi) is not the same in each of these two buildings? (Assume all statistical assumptions met.) a) Binomial Distribution b) Population Difference in Means (i.e., Unpaired Data) c) The Chi-Squared Test of Independence d) Population Mean Difference (i.e., Paired Data).A sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05use an x^2 test to test the clain o^2 = 0.53 at the a=0.10 signifigance level using sample statistics s^2 = 0.495 and n=18. assume the population is normally distributed
- A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 418 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. H0: Ha:A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.37. At α=0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (a) Write the claim mathematically and identify H0 and Ha. A. H0: σ2≤1.33 (Claim) Ha: σ2>1.33 B. H0: σ2≠1.33 Ha: σ2=1.33 (Claim) C. H0: σ2≥1.33 Ha: σ2<1.33 (Claim) D. H0: σ2=1.33 (Claim) Ha: σ2≠1.33 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. A. The…A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.34. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.22. At α=0.05, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below.
- Let the following simple random sample following:1. Binomial pmf. (11, ¾);2. Uniform pmf;3. Uniform pdf (0, a);4. Exponential pdf with (µ) .Find the corresponding pmf/pdf of Y1 , Y4 , Y7 and F(Yi) whereUse the standard error to construct a approximate prediction interval for Y using an alpha of 5%. (Round your answer to 3 decimal places.) Obs Assessed Floor Offices Entrances Age Freeway 1 1796 4790 4 2 8 0 2 1544 4720 3 2 12 0 3 2094 5940 4 2 2 0 4 1968 5720 4 2 34 1 5 1567 3660 3 2 38 1 6 1878 5000 4 2 31 1 7 949 2990 2 1 19 0 8 910 2610 2 1 48 0 9 1774 5650 4 2 42 0 10 1187 3570 2 1 4 1 11 1113 2930 3 2 15 1 12 671 1280 2 1 31 1 13 1678 4880 3 2 42 1 14 710 1620 1 2 35 1 15 678 1820 2 1 17 1 16 1585 4530 2 2 5 1 17 842 2570 2 1 13 0 18 1539 4690 2 2 45 0 19 433 1280 1 1 45 1 20 1268 4100 3 1 27 0 21 1251 3530 2 2 41 1 22 1094 3660 2 2 33 0 23 638 1110 1 2 50 1 24 999 2670 2 2 39 1 25 653 1100 1 1 20 1 26 1914 5810 4 3 17 0 27 772 2560 2 2 24 0 28 890 2340 3 1 5 0 29 1282 3690 2 2 15 1 30 1264 3580 3 2 27 0 31 1162 3610 2 1 8 1 32 1447 3960 3 2 17 0A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 401401 gram setting. Is there sufficient evidence at the 0.020.02 level that the bags are overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. Answer
