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Follow the link Now for full guide - http://entire-courses.com/MAT-116-Entire-Course |
In this pack of MAT 116 Entire Course you will find the next docs: MAT 116 Assignment Expressions and Equations.doc MAT 116 Assignment Functions and their Graphs.doc MAT 116 Assignment Solving Inequalities and Graphing Equations.doc MAT 116 Assignment Systems of Equations and Inequalities.doc MAT 116 Final Exam.zip MAT 116 Week 1 and 2 Quiz A.pdf MAT 116 Week 1 and 2 Quiz B.pdf MAT 116 Week 1 DQs.doc MAT 116 Week 2 Exercise Concept Check.doc MAT 116 Week 3 and 4 Quiz A.pdf MAT 116 Week 3 and 4 Quiz B.pdf MAT 116 Week 3 DQs.doc MAT 116 Week 4 Exercise Concept Check.doc MAT 116 Week 5 and 6 Quiz A.pdf MAT 116 Week 5 and 6 Quiz B.pdf MAT 116 Week 5 DQs.doc MAT 116 Week 6 Exercise Concept Check.doc MAT 116 Week 7 and 8 Quiz A.pdf MAT 116 Week 7 and 8 Quiz B.pdf MAT 116 Week 7 DQs.doc MAT 116 Week 8 Exercise Concept Check.doc |
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Follow the link Now for full guide - http://entire-courses.com/MAT-116-Entire-Course |
Mathematics - Statistics 1. Consider the following age data, which is the result of selecting a random sample of 20 United Airlines pilots. 47 45 45 52 58 55 58 44 42 38 45 52 48 47 51 45 52 42 37 40 a. Compute the mean, median, mode, and standard deviation, Q1, Q3, Min, Max for the above sample data on age of pilots. b. In the context of this situation, interpret the Median, Q1, and Q3. 2. Consider the following data on customers at an office supply store. These customers are categorized by their previous volume purchases and their age. 20's 30's 40's 50 or older Total New Customer 513 285 1,228 100 2,126 Low Volume 417 139 2,578 215 3,349 Mid Volume 250 451 7,859 801 9,361 High Volume 100 615 6,525 994 8,234 Total 1,280 1,490 18,190 2,110 23,070 If you choose one customer at random, then find the probability that the customer a. is a new customer. b. is a high volume customer and is in the 40's. c. is in the 20's, given that the customer is low volume. 3. A source in the Internal Revenue Service has stated that historically 90% of federal tax returns filed are free of arithmetic errors. A random sample of 25 returns are selected and checked carefully for arithmetic errors. Assuming independence, find the probability that a. all 25 returns are free of arithmetic errors. b. at most 23 returns are free of arithmetic errors. c. more than 17 are free of arithmetic errors. (Points : 18) 4. The Federal Government is stepping up efforts to reduce average response times of fire departments to fire calls. The distribution of mean response times to fire calls follows a normal distribution with a mean of 12.8 minutes and a standard deviation of 3.7 minutes. a. Find the probability that a randomly selected response time is less than 15 minutes. b. Find the probability that a randomly selected response time is between 13 minutes and 15 minutes. c. The fastest 20% of fire departments will be singled out for a special safety award. How fast must a fire department be in order to qualify for the special safety award? 5. A new brand of laptop battery is produced by ZELCO. The company claims that the battery will last for an extended period of time before a recharge is necessary. A sample of 40 batteries is tested for the length of usage time to recharge. The sample results are as follows: Sample Sample hrs. Sample Standard hrs. a. Construct a 99% confidence interval for the average length of usage time to recharge. b. Interpret this interval. c. How large a sample size will need to be selected if we wish to have a 99% confidence interval with a margin for error of .25 hours? (Points : 18) 6. You are in charge of selling advertising for radio station WQAA. The fee you can set for airtime is directly related to the share of the listening market your station reaches. From time to time you conduct surveys to determine WQAA’s share of the market. This month, when you contacted 200 randomly selected residents, 12 respondents said they listen to WQAA. a. Compute the 99% confidence interval for the percent of the market that are listeners of WQAA. b. Interpret this confidence interval. c. How many individuals should be sampled in order to be 99% confident of being within 1% of the actual population percent of the market that are WQAA listeners? (Points : 18) 7. An auditor for the U.S. Postal Service wants to examine its special two-day priority mail handling to determine the proportion of parcels that actually arrive within the promised two-day period. A randomly selected sample of 1600 such parcels is found to contain 1250 that were delivered on time. Does the sample data provide evidence to conclude that the percentage of on-time parcels is more than 75% (using a = .01)? Use the hypothesis testing procedure outlined below. a. Formulate the null and alternative hypotheses. b. State the level of significance. c. Find the critical value (or values), and clearly show the rejection and nonrejection regions. d. Compute the test statistic. e. Decide whether you can reject Ho and accept Ha or not. f. Explain and interpret your conclusion in part e. What does this mean? g. Find the observed p-value for the hypothesis test and interpret this value. What does this mean? h. Does this sample data provide evidence (with a = .01), that the percentage of on-time parcels is more than 75%? (Points : 24) 8. The ACTION Paper Company employs a human resources manager who is given responsibility for employee benefits. There is a question about the mean annual dental expense per employee. The manager selects a random sample of 49 employee records for the past year and finds the following. Sample Size: 49 Sample mean: $486 Sample standard deviation: $84 Does the sample data provide evidence to conclude that the mean annual dental expense per employee is less than $500 (using a = .10)? Use the hypothesis testing procedure outlined below. a. Formulate the null and alternative hypotheses. b. State the level of significance. c. Find the critical value (or values), and clearly show the rejection and nonrejection regions. d. Compute the test statistic. e. Decide whether you can reject Ho and accept Ha or not. f. Explain and interpret your conclusion in part e. What does this mean? g. Determine the observed p-value for the hypothesis test and interpret this value. What does this mean? h. Does this sample data provide evidence (with a = 0.10), that the mean annual dental expense per employee is less than $500? 9. An airline plans to initiate service at an airport in a city of approximately 500,000 people. To determine staffing requirements, officials for the airline take advantage of the sample survey data on the relationship between the number of flights per week and the number of employees for 30 airlines at various airports in cities that are similar in size (approximately 300,000 to 700,000). The data is found below. FLIGHTS EMP. PREDICT 104 88 50 89 71 150 94 85 63 40 49 24 48 22 42 23 50 24 21 6 70 45 75 54 80 70 85 72 40 18 35 12 30 10 25 8 28 7 35 12 42 18 56 32 65 42 72 50 81 60 91 68 98 79 104 80 81 58 77 58 72 52 Regression Analysis: EMP. versus FLIGHTS The regression equation is 23.3 + 1.04 FLIGHTS Predictor Coef SE Coef T P Constant -23.261 2.177 -10.68 0.000 FLIGHTS 1.04407 0.03202 32.60 0.000 % R-Sq(adj) = 97.3% Analysis of Variance Source DF SS MS F P Regression 1 19752 19752 1063.00 0.000 Residual Error 28 520 19 Total 29 20272 Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 28.943 0.896 ( 27.107, 30.779) ( 19.924, 37.961) 2 133.350 2.883 (127.445, 139.255) (122.728, 143.973)XX XX denotes a point that is an extreme outlier in the predictors. Values of Predictors for New Observations New Obs FLIGHTS 1 50 2 150 Correlations: FLIGHTS, EMP. Pearson correlation of FLIGHTS and a. Analyze the above output to determine the regression equation. b. Find and interpret β ˖ 1 in the context of this problem. c. Find and interpret the coefficient of determination (r-squared). d. Find and interpret coefficient of correlation. e. Does the data provide significant evidence (a = .05) that the number of flights can be used to predict the number of employees? Test the utility of this model using a two-tailed test. Find the observed p-value and interpret. f. Find the 95% prediction interval for the number of employees needed for an airline that has 50 flights per week. Interpret this interval. g. Find the 95% confidence interval for the mean number of employees needed for airlines that have 50 flights per week. Interpret this interval. h. What can we say about the number of employees needed for an airport that has 150 flights per week? 10. Sam Smith, owner and general manager of Campus Stationery Store, is concerned about the sales behavior of a scanner at the store. He understands that there may be many factors, which may help explain sales, but he believes that advertising and price are major determinants of sales. Sam collects the data given below with (# of sales), (# of ads), ($) SALES ADS PRICE Predict ADS Predict PRICE 33 3 125 10 130 61 6 115 70 10 113 82 13 130 17 9 145 24 6 140 40 5 120 48 5 116 56 7 110 72 11 108 Regression Analysis: SALES versus ADS, PRICE The regression equation is + 4.33 ADS - 1.14 PRICE Predictor Coef SE Coef T P Constant 157.50 33.78 4.66 0.002 ADS 4.327 1.078 4.01 0.005 PRICE -1.1428 0.2677 -4.27 0.004 % R-Sq(adj) = 78.1% Analysis of Variance Source DF SS MS F P Regression 2 3502.0 1751.0 17.02 0.002 Residual Error 7 720.1 102.9 Total 9 4222.1 Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 52.20 4.67 (41.16, 63.25) (25.80, 78.61) Values of Predictors for New Observations New Obs ADS PRICE 1 10.0 130 Correlations: SALES, ADS, PRICE SALES ADS ADS 0.621 0.055 PRICE -0.661 0.008 0.037 0.982 Cell Contents: Pearson correlation P-Value a. Analyze the above output to determine the multiple regression equation. b. Find and interpret the multiple index of determination (R-Sq). c. Perform the t-tests on β ˖ 1 and on β ˖ 2 (use two tailed test with (a = .05). Interpret your results. d. Predict the number of sales given that there were 10 ads and the price was $130. Use both a point estimate and the appropriate interval estimate. |
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Follow the link Now for full guide - http://entire-courses.com/MAT-116-Entire-Course |
Develop solid studying habits. Leave the partying and socializing at the door for a few hours (at least) every day. Gather all of your materials, notes, and books, and walk through where you are in each of your classes. Write out areas that you feel weak, and approach your professors with these questions during their open office hours. |
