Boxplots. In Exercises 29-32, use the given data to construct a boxplot and identify the 5-number summary.
31. Radiation in Baby Teeth Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from Pennsylvania residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano et. al., Science of the Total Environment).
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- The National Ignition Facility uses 6mm diameter pellets of deuterium (hydrogen with an extra neutron) cooled to 11 Kelvin as targets for it’s laser in an attempt to achieve nuclear fusion. Because of the massive energies involved, the targets must be constructed to a very high degree of accuracy. You sample 22 targets and their diameters are collected and stored in the data table. round.diametermm..5. 1 5.99869 2 6.00053 3 5.99925 4 6.0009 5 5.9996 6 6.00188 7 6.00187 8 6.00091 9 5.99903 10 5.99889 11 6.00037 12 5.99907 13 6.00012 14 6.00114 15 5.99867 16 5.99962 17 5.99989 18 6.00147 19 6.0017 20 6.00153 21 6.0007 22 6.0018 a) State a null an an alternate hypothesis to test the claim that the target manufacturing process isperforming to specifications.(b) Conduct a hypothesis test to with an α = 0.01 to test your hypothesis(c) What sample size would be needed to reliably, with a probability of 80% or better, detect a deviation of…arrow_forward2. Volcanologists have measured the hydrogen content (in % of total number of atoms) of samples of gases collected from the 1970 Moumt Etna volcanic eruptions. Values are given in the following table: 1970 Hydrogen content (%) 35.8 44.5 35.5 32.0 52.0 39.0 37.0 47.0 42.0 57.0 42.5 54.5 35.0 592.5 43.5 48.0 45.0 44.6 38.5 53.0 55.0 40.0 37.5 57.7 38.5 36.0 46.5 35.5 45.5 37.0 36.0 33.0 Enter the data in Excel. Now find out the following information. Median for 1970 Hydrogen content Mode for 1970 Hydrogen content SEM for 1970 Hydrogen content Standard deviation for 1970 Hydrogen content 99% Lower confidence limit 1970 Hydrogen content 99 Upper confidence limit 1970 Hydrogen content Do you things this sample of data give vou a normal distribution curve? and Why? الترکبر ENG )arrow_forwardThe carbon monoxide (CO) level in a manufacturing plant is supposed to be about 50 parts per million (ppm). However the actual CO levels are quite variable. Ten CO measurements are taken at various times during the day: Test if the average carbon monoxide (CO) level is not 5 0 ppm at the manufacturing plant if the population standard is 8.07. Use 10% level of significance.arrow_forward
- Alt 3. Highway Accidents: DUI the U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 27 records of automobile driver fatalities in Kit Carson County, Colorado, showed that 15 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use a = 0.01.arrow_forward- One method for determining the %w/w Na2CO3 in soda ash is an acid base titration. When analysts analyze the same sample of soda ash they obtain the results 86.82, 87.04, 86.93, 86.20, 87.00, 87.01, 85.50, 87.32, 86.82. Treat results by calculation all statistical values at t=1.86arrow_forwardA researcher is wondering whether the smoking habits of young adults (18-25 years of age) in a certain city in the U.S. arethe same as the proportion of the general population of young adults in the U.S. A recent study stated that the proportionof young adults who reported smoking at least twice a week or more in the last month was 0.16. The researcher collecteddata from a random sample of 75 adults in the city of interest. State the hypotheses to be tested for this study. Also, identify which hypothesis is the claim. H0:_______________________ Ha:______________________arrow_forward
- An article in Environment International (Vol. 18, No. 4, 1992) describes an experiment in which the amount of radon released in showers was investigated. Radon enriched water was used in the experiment and six different orifice diameters were tested in shower heads. The data from the experiment are shown in the following table. 3-9 Orifice Dia. Radon Released (%) 0.37 80 83 83 85 0.51 75 75 79 79 0.71 74 73 76 77 1.02 67 72 74 74 1.40 1.99 62 62 67 69 60 61 64 66 (a) Does the size of the orifice affect the mean percentage of radon released? Use a = 0.05.arrow_forward2h. How long it takes paint to dry can have an impact on the production capacity of a business. An auto body & paint business invested in a paint-drying robot to speed up its process. An interesting question is, "Do all paint-drying robots have the same drying time?" To test this, suppose we sample five drying times for each of different brands of paint-drying robots. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. Suppose the following data were obtained. Robot 1 Robot 2 Robot 3 Robot 4 127 145 134 149 137 133 144 141 135 143 137 136 125 146 137 141 141 128 128 153 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =arrow_forwardRandom collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound. Compound 1 2 3 4 5 6 7 8 9 Lab A (x) 12.35 9.83 10.79 11.31 8.58 13.69 14.68 15.07 11.57 Lab B (y) 12.18 9.72 10.70 11.51 8.63 13.58 14.71 15.24 11.57 (a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test. Compound Lab A (x) Lab B (y) d = x − y d2 1 2 3 4 5 6 7 8 9 Σd2 = (b) Use a 5% level of significance to test for a monotone relation (either way) between ranks. Interpret the results. What is the level of significance? Compute the sample test statistic. (Round your answer to three decimal places.)arrow_forward
- An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below. Under Age 18 Over Age 18 n1 = 500 n2 = 600 Number of accidents = 180 Number of accidents = 150 We are interested in determining if the accident proportions differ between the two age groups.arrow_forwardRandom collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound. Compound 1 2 3 4 5 6 7 8 9 Lab A (x) 15.36 12.83 8.81 11.30 13.59 9.66 10.72 14.05 11.54 Lab B (y) 15.17 12.72 8.69 11.45 13.63 9.63 10.75 14.23 11.55 (a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test. (b) Compute the sample test statistic. (Round your answer to three decimal places.)arrow_forwardAn experiment was conducted to test the effects of five different diets (A-E) in turkeys. Six turkeys were randomly assigned to each of the five different diet groups (Diet) and were fed for a fixed period of time. The weight gained in pounds was recorded for each turkey and the data was entered into R for analysis. R produced the following output. Between Within Total a. له له له م په b. C. d. e. Sum-of-squares (SS) Degrees of freedom Mean square (MS) ?? (b) 103.04 ???.?? (a) 110.9249 25 29 ????.??? (c) ????.??? (d) Find the sum-of-squares for within-group variability. Find the degrees of freedom for between-group variability. Find the mean-square of the between-group variability. F-statistic ??.????? p-value ????.??? (e) Find the mean-square of the within-group variability. Find the p-value for the ANOVA F-test. What is the conclusion? Are the means of the five diets significantly different?arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill