Following are 54 measurements on suspended solids from a certain lake. Construct a stem and leaf diagram for this data and comment. 29 42 66.0 43 45 42.4 65.7 29.8 58.7 52.1 55.8 57.0 68.7 67.3 54.3 54.0 73.1 81.3 59.9 56.9 62.2 69.9 56.3 43.3 57.4 45.3 80.1 49.7 42.8 42.4 59.6 61.4 64.0 64.2 72.6 72.5 46.1 53.1 56.1 67.2 42.6 77.4 54.7 57.1 77.3 39.3 76.4 59.3 61.4 73.1 77.3 48.5 51.1 89.8 50.7 52.0 66.1 31.6 20 Questi 29.8-89:8 Stem leaf 2 3 4 2
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- We investigate if a period of time feels longer orshorter when people are bored compared to whenthey are not bored. Using independent samples,we obtain these estimates of the time period (inminutes):Sample 1 (bored): X =14.5, s2x =10.22, n =28Sample 2 (not bored): X =9.0, s2x =14.6, n =34(a) What are H0and Ha? (b) Compute tobt. (c) Witha .05, what is tcrit? (d) What should we conclude about this relationship? (e) Using our twoapproaches, how important is boredom in determining how quickly time seems to pass? part f: compute the 95% confidence intervalThe following data on distilled alcohol content (%) fora sample of 35 port wines was extracted from the article“A Method for the Estimation of Alcohol inFortified Wines Using Hydrometer Baumé andRefractometer Brix” (Amer. J. Enol. Vitic., 2006:486–490). Each value is an average of two duplicatemeasurements. The following data on distilled alcohol content (%) fora sample of 35 port wines was extracted from the article“A Method for the Estimation of Alcohol inFortified Wines Using Hydrometer Baumé andRefractometer Brix” (Amer. J. Enol. Vitic., 2006:486–490). Each value is an average of two duplicatemeasurements. 16.35 18.85 16.20 17.75 19.58 17.73 22.75 23.78 23.2519.08 19.62 19.20 20.05 17.85 19.17 19.48 20.00 19.9717.48 17.15 19.07 19.90 18.68 18.82 19.03 19.45 19.3719.20 18.00 19.60 19.33 21.22 19.50 15.30 22.25Use methods from this chapter, including a boxplot thatshows outliers, to describe and summarize the data.Nitrite is commonly determined by a colorimetric procedure using a reaction called the Griess reaction. In this reaction, the sample containing nitrite is reacted with sulfanilimide and N-(1-Napthyl) ethylenediamine to form a colored species that absorbs at 550 nm. Using an utomated flow analysis instrument, the following results were obtained for standard solutions of nitrite and for a sample containing an unknown amount:Solution Absorbance at 550 nm2.00 μM 0.0656.00 μM 0.20510.00 μM 0.33814.00 μM 0.47418.00 μM 0.598Unknown 0.402(a) Find the slope, intercept, and standard deviation of the calibration curve.(b) Construct the calibration curve.(c) Determine the concentration of nitrite in the sample.
- The accompanying specific gravity values describe various wood types used in construction. 0.33 0.35 0.36 0.36 0.37 0.38 0.40 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.42 0.43 0.44 0.45 0.46 0.46 0.47 0.48 0.48 0.49 0.53 0.54 0.54 0.55 0.58 0.61 0.66 0.66 0.67 0.68 0.77 Construct a stem-and-leaf display using repeated stems. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)The accompanying summary data on CeO2 particle sizes (nm) under certain experimental conditions was read from a graph in an article. 3.0–<3.5 3.5–<4.0 4.0–<4.5 4.5–<5.0 5.0–<5.5 6 16 28 35 21 5.5–<6.0 6.0–<6.5 6.5–<7.0 7.0–<7.5 7.5–<8.0 15 8 1 5 1 (a) What proportion of the observations are less than 5? (Round your answer to three decimal places.) (b) What proportion of the observations are at least 6? (Round your answer to three decimal places.)A study was made on the amount of converted sugar in a certain process at various temperatures. The data were coded and recorded in the accompanying table. Evaluate s^2 Temperature, x Converted Sugar, y1.0 8.31.1 7.91.2 8.91.3 9.21.4 9.61.5 8.61.6 8.41.7 10.21.8 9.41.9 9.32.0 10.8
- Q / The probability of not matching the salts ratio to sand from a given source is 0.2 and the probability of its grain gradient not matching the specifications is 0.03 The probability of sand matching the specifications is equal to ?,Below are pupil sizes from two samples: 8 men and 8 women (measured in millimeters). Test the hypothesis that thee is a difference in pupil sizes between males and females, using an alpha level of .01. Males Females 7.7 8.9 7.5 8.7 6.9 9.0 7.8 8.8 7.7 7.9 6.9 8.8 4.5 9.0 7.5 9.0 What is the Critical Value?The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) If the process mean has been adjusted to 0.25 in, what fraction of the shafts produced does NOT conform to specifications? a). 0.0027 b). 0.0013 c).0.08 d). 0.16
- The accompanying summary data on CeO2 particle sizes (nm) under certain experimental conditions was read from a graph in an article. 3.0–<3.5 3.5–<4.0 4.0–<4.5 4.5–<5.0 5.0–<5.5 5 16 27 34 23 5.5–<6.0 6.0–<6.5 6.5–<7.0 7.0–<7.5 7.5–<8.0 15 8 3 3 1 (a) What proportion of the observations are less than 5? (Round your answer to three decimal places.) Answer:____________ (b) What proportion of the observations are at least 6? (Round your answer to three decimal places.) Answer:_____________ (c) Construct a histogram with relative frequency on the vertical axis. Answer:_____________ Comment on interesting features. In particular, does the distribution of particle sizes appear to be reasonably symmetric or somewhat skewed? [Note: The investigators fit a lognormal distribution to the data.] ____positively skewed ____negatively skewed ____symmetricGiven that 28.4% of all possible observations of the variable are less than 11, determine the area under the density curve that lies to the a. left of 11. b. right of 11.Find z if the normal curve area: a) between 0 and z is 0.4854 b) to the left of z is 0.9750 c) to the right of z is .8830 d) between –z & z is 0.024