Use JMP for the following problems, and provide written answers for short answer questions

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Use JMP for the following problems, and provide written answers
for short answer questions

Use Jmp For The Following Problems And Provide Written Answers For Short Answer Questions 1 (162.42 KiB) Viewed 28 times

Note: These problems expect you to use the computer. You may also be expected to set up the appropriate hypotheses, find the relevant information from given computer output, and interpret results, especially in the context of the problem. 1) In an attempt to improve the drying time of the paint used in their process, a new additive has been developed. The current paint has an average drying time of 75 minutes. Use of the additive in 20 swatches of the paint yields the values in the table. Because of the expense associated with using the additive, evidence should strongly suggest an improvement in drying time before adopting use of the additive. (Data Set: Paint) a) Construct a 95% confidence interval for the mean drying time. b) Construct a 95% upper bound for the mean drying time. c) What size sample is necessary to construct a 95% confidence interval with a margin of error of 4 minutes? Use a power of 50% (in JMP you need to use the proportion 0.51) d) Would you recommend the manufacturer use the additive? (Do a hypothesis test.) e) Can you trust the results from the statistical procedures in parts a through d? Are the results valid? 2) In a study of the flammability of material used in children's sleepwear, the char length (inches) for 8 samples of washed acetate/nylon brushed tricot fabric was measured. The resulting observations were: 8.1, 10.4, 9.5, 8.9, 10.7, 7.8, 10.7, 8.8. Assume the char length is normally distributed. (Data Set: Sleepwear) a) Find the 95% confidence interval for the mean char length. b) To maintain 95% confidence but improve the precision to +0.5. what size sample would be necessary? Use a power of 0.30. c) Construct a 95% upper confidence interval for the standard deviation in char length. 3) Wind speed data was gathered during January and July at a site proposed for a wind generator to determine whether the production of electricity by the wind generator will be different in the 2 months. (Data Set: Wind Speed) a) Give the formula for a confidence interval for the difference between the mean wind speeds in January and July b) From the computer output find the 99% confidence interval. c) Are the conditions met for this procedure?
4) If the variance of the fill volume exceeds 0.01 (fluid Ounces), an unacceptable proportion of bottles will be underfilled and overfilled. A random sample produced the output below. (Data Set: Fill Machine) a) Is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled and overfilled bottles? b) Give a 95% confidence interval for the standard deviation. 5) A telephone company is trying to decide whether some new lines in a large community should be installed underground. Because a small surcharge will be added to telephone bills to pay for the extra installation costs, the company has decided to survey customers and proceed only if more than 60% of all customers favor the better stability (but slightly more costly) underground installation. The random sample of 160 customers found that 118 favored the underground installation. (Data Set: Telephone) a) What should the company do? b) The sample proportion was 0.7375 which seems to be much larger than 0.60. Can't it be concluded that more than 60% are in favor without going through the agony of the hypothesis test? 6) What are the advantages of each of the following graphs? a) Pie chart b) Stem and leaf (also called Stemplot) c) Boxplot d) Bar chart e) Histogram 7) What are the disadvantages of the following graphs? a) Pie chart b) Stem and leaf (also called Stemplot) c) Boxplot d) Bar chart e) Histogram
8) Samples of three kinds of material, subjected to extreme temperature changes, produced the results in the table. Is there a difference between the materials? Use whatever output you need from below. (Data Set: Materials) Crumbled Stayed Intact TOTAL Material A 41 79 120 Material B 27 53 80 Material C 22 78 100 TOTAL 90 210 300 Material & Result Cou 100 Contingency Table 80 60 Result Count Crumbl Intact Total Expected ed А 41 79 120 36 84 27 53 80 24 56 с 22 78 100 30 70 Total 90 210 300 Material Lul PB BRA Crumbled Intad Crumbled Intact Intact Material/Resuk Tests N DF 2 -LogLike RSquare (U) 2.3632564 0.0129 300 Test Likelihood Ratio Pearson ChiSquare Prob>Chisq 4.727 0.0941 4.575 0.1015
9) A study investigated how companies that fail are different from companies that do not. One variable investigated was the ratio of current assets to current liabilities that was used as a measure of cash flow. The question is if the average cash flow is any different for companies that fail compared to those that don't. Can you conclude the companies that continued had a greater cash flow? Also, estimate the difference between the two types of companies. Use any computer output to answer needed. (Data Set: Cash Flow) 10) Consider the mold strength data set and respond to the following questions: a) Show the scatterplot for Strength versus Length. What does it tell you? Be thorough! (Remember, you should be looking for 4 factors: direction, general form, strength, outliers) b) State the equation of the least squares regression line for the Strength based on the Length. c) Is this prediction line very useful? Back up your assessment with evidence. d) Use the line to predict the mold Strength for a Length of 7. e) Show the scatterplot for Strength versus DieHeight. What does it tell you? f) State the equation for the least squares regression line for the Strength based on the DieHeight g) Is this prediction line very useful? Back up your assessment with evidence.