The following data was reported on total Fe for four types of iron formation (1= carbonate, 2= silicate, 3= magnetite, 4 = hematite). 1: 20.3 28.1 27.8 27.0 27.7 25.2 25.3 27.1 20.5 31.5 2: 26.4 24.0 26.2 20.2 23.5 34.0 17.1 26.8 23.7 25.0 3: 30.0 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 35.7 4: 37.3 44.2 34.1 30.3 31.3 33.1 34.1 32.9 36.3 25.7 USE SALT Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. онону она инзона H: at least two μ's are equal O Hoi H₂H₂H₂-H₂ H: all four μ's are unequal O Hoi H₁ H₂ H3 #Ha H₂: all four μ's are equal OH₂H₂H₂ = H₂H₂ H: at least two μ's are unequal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Mean df Squares Squares Source Treatments Error Total Give the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? OP-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Fail to reject Ho. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations. O Reject H. There is insufficient evidence to conclude that the total Fe differs for the four formations. O Fail to reject Ho. There is insufficient evidence to conclude that the total Fe differs for the four formations. O Reject Ho. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations.

Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5-number summary. 1.31 0.69 0.98 1.47 0.59 0.62 1.28 1.06 1.26 1.23 1.13 The 5-number summary is . andall in W/kg. (Use ascending order. Type integers or decimals. Do not round.) Which boxplot below represents the data? O A. O B. 1.5 C 1 Absorption Rates (W/kg) 0.5 1.5 0.5 Absorption Rates (W/kg) OD. OC. 0.5 1.5 C 0.5 1 1.5 C Absorption Rates (Wikg) Absorption Rates (W/kg)

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Suppose that at five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Wilderness District 1 2 3 4 January April 130 127 122 64 78 105 97 108 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use a = 0.01. Solve the problem using the critical region method of testing. (Let d = January - April. Round your answers to three decimal places.) test statistic = critical value = Interpret your conclusion in the context of the application. O Reject the null hypothesis, there is insufficient evidence to claim average peak…

The following data represent the concentration of dissolved organic carbon (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts (a) through (c) on the right. 16.87 29.80 8.81 27.10 16.51 22,49 11.90 30.91 20.46 14.90 14.86 33.67 19.80 5.20 15.35 14.86 9.72 8.09 7.40 (a) Find the sample mean. 18.30 The sample mean is 17.35. (Round to two decimal places as needed.) (b) Find the sample standard deviation. The sample standard deviation is 8.14. (Round to two decimal places as needed.) (c) Construct a 98% confidence interval for the population mean u. The 98% confidence interval for the population mean u is ( ,). (Round to two decimal places as needed.)

The following data represent the concentration of dissolved organic carbon (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts (a) through (c) on the right. 11.40 29.80 27.10 16.51 20.46 8.81 30.91 19.80 20.46 14.86 14.86 20.46 16.87 33.67 9.72 18.30 14.90 15.35 20.46 8.09 (a) Find the sample mean. The sample mean is (Round to two decimal places as needed.)

23. Nolsy streets: How much noisier are streets wheré cars travel faster? The following table presents noise levels in decibels and average speed in kilometers per hour for a sample of roads. Speed Noise 28.26 78.1 36.22 79.6 81.0 38.73 29.07 30.28 :30.25 29.03 33.17 Source: Journal of Transportation Engineering 125:152-159 78.7 78.6 2. 78.5 78.4 79.6 a. Compute the least-squares regression line for predicting noise level (v) from speed (x). b. Construct a 95% confidence interval for the slope. c. Test H P, =0 versus H: B, 0. Can you conclude that speed is useful in predicting noise level? Use the a = 0.01 level of significance. 24 ko.

The following data represent the concentration of dissolved organic carbon (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts (a) through (c) on the right. 16.87 29.80 27.10 16.51 11.90 8.81 22.49 20.46 14.90 33.67 30.91 14.86 5.20 15.35 9.72 19.80 14.86 8.09 7.40 18.30 (a) Find the sample mean. The sample mean is 17.35. (Round to two decimal places as needed.) (b) Find the sample standard deviation. The sample standard deviation is (Round to two decimal places as needed.)

In an experiment to determine whether there is asystematic difference between the weightsobtained with two different scales, 10 rockspecimens were weighed, in grams, on eachscale. The following data were obtained:  Specimen        weight scale 1        weight scale 2      1                   11.23                     11.27      2                   14.36                      14.41      3                     8.33                        8.35      4                    10.50                      10.52      5                    23.42                       23.41      6                     9.15                         9.17      7                    13.47                       13.52      8                       6.47                         6.46      9                     12.40                      12.45     10                    19.38                       19.35 Can you conclude that the mean weight differsbetween the scales? Use a 1% level ofsignificance. Assume that the weights arenormally…

An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 2 3 4 5 6 7 8 9 10 Age 0 0 2 11 7 16 9 0 12 4 Baseline 1.70 4.38 4.06 1.24 5.29 0.59 3.35 3.45 0.73 1.22 Reformulated     1.86     5.91     5.51     2.70     6.50     0.71     4.95     4.86     0.72     1.41   Construct scatter plots of the baseline NOx emissions versus age.  What appears to be the nature of the relationship between these two variables? There is no compelling relationship between the data. As age increases, emissions also increase.     As age increases, emissions decrease.

The following data represent the concentration of dissolved organic carbon​ (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts​ (a) through​ (c) on the right.