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- Let the height data represent sample. Use an appropriate statistical test to check whether the population mean is different from 170 cm.Use α = 0.05.Also, write a substantive conclusion and explanation. Use an appropriate graph to check if data is normally distributed. Do it in R commander. This si part of my data:OC O a Relative Frequency Relative Frequency as 15:25 15 45 55 05 Impurities (percent) 35 45 55 65 Impurities (percent)An important quality characteristic of water is the concentration of suspended solid material. Following are 60 measurements on suspended solids from a certain lake. Construct a histogram. Comment on the shape of the histogram. 42.4 65.7 29.8 58.7 52.1 55.8 57.0 68.7 67.3 67.3 54.3 54.0 73.1 81.3 59.9 56.9 62.2 69.9 66.9 59.0 56.3 43.3 57.4 45.3 80.1 49.7 42.8 42.4 59.6 65.8 61.4 64.0 64.2 72.6 72.5 46.1 53.1 56.1 67.2 70.7 42.6 77.4 54.7 57.1 77.3 39.3 76.4 59.3 51.1 73.8 61.4 73.1 77.3 48.5 89.8 50.7 52.0 59.6 66.1 31.6
- The following table shows the measurements of sharks at an aquarium. Choose the scatter plot that represents the data. Mass (kg) 0.07 68 70 82 85 90 100 105 Length (cm) 18 165 210 210 220 300 320 320Sand and clay studies were conducted at the West Side Field Station of the University of California. (Reference: Professor D. R. Nielsen, University of California, Davis.) Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 19.5 27.3 30.4 24.2 33.8 27.4 24.8 18.2 16.4 8.4 1.7 0.1 Test the sequence for randomness about the median. Use α = 0.05. (a) What is the level of significance? (b) Find the sample test statistic R, the number of runs.(c) Find the upper and lower critical values in Table 10 of Appendix II. c1 c2A magazine published a study on the ammonia levels near the exit ramp of a highway tunnel. The data in the table below represent daily ammonia concentrations (in parts per million) on eight randomly selected days during the afternoon drive time. Complete parts a through c. 1.53 1.50 1.34 1.51 1.59 1.43 1.42 1.47 Find the range of the ammonia levels. Give the units of measurement for the range.
- What is the appropriate measure of center for these data? O A. Mode OB. Range OC. Mean O D. Median O E. Skew 1525 54 1 5 2 6 5 4 3 19 8 7 6 4 4345656 7 6 9Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.15 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. Complete parts (a) through (c) below. Click the icon to view the data table. (a) State the hypotheses for determining if the mean concentration of calcium precipitation has changed since 1990. Но Ho: 0.15 mg/L H1: 0.15 mg/L i Data Table (b) Construct a 95% confidence interval about the sample mean concentration of calcium precipitation. The lower bound is The upper bound is (Round to four decimal places as needed.) 0.237 0.067 0.224 0.126 0.081 0.131 0.075 0.171 0.314 0.091 (c) Does the sample evidence suggest that calcium concentrations have changed since 1990? Print Done A. Yes, because the confidence interval does not contain 0.15 mg/L. B. Yes, because the confidence interval contains…Font Everest auto industry produces bearing for Mahindra Motor Corporation. The precision of radrus of bearing is very important for its successful functioning. To check the variability in the bearing radius, the company randomly selected ten bearings and measured the radius, the result of which is as shown in the table below. Nominal radius (cm) #no #no Nominal radius (cm) 2.45 1. 2.70 6. 71 8. 2. 2.65 2.73 3. 2.75 2.64 4. 2.55 9. 2.66 2.76 10 2.83 a. Calculate the sample standard deviation for the above data. b. Construct a box plot and check whether there is any outlier data m the data distribution. c. Based on the comparison between the mean and the quartile, identify the shape of the data distribution. d. Calculate the 55 percentile and interpret the result. e. What is the range of the data distribution? Explain sts meaning. d States)
- The measurements of suspended solid material concentration in water samples is illustrated in the figure below. Estimate approximately the range of the data. 100 90 80 70 60 50 40 30 20 10Consider the following box and whisker plot. Find the indicated values of the represented data. 20 29 L 30 38 Maximum: 40 First quartile: 50 55 60 70 73 80 90 98 100The following table contains measurements (in millimeters) of the diameter for a component used in surgeries. Samples of three were taken at approximately one to two hour intervals. Construct the X-bar and Range charts’ control limits (LCL and UCL) for the diameter and answer 4 questions. Observation number Sample 1 2 3 1 7 8 9 2 8 6 8 3 7 8 8 4 8 8 8 1/4) What are the control limits for the X-bar chart? 2/4) What are the control limits for the Range chart? A new sample is obtained with the following measurements (in mm): 6 8 9 3/4) What does the X-bar chart indicate for the new sample? (Cant answer, the process is out of control, or the process is in control?) 4/4) What does the Range chart indicate for the new sample? (Cant answer, the process is out of control, or the process is in control?)
