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- A battery manufacturer is interested in the lifetime of its products. Thirty batteries are tested until they fail. The times to failure (in hours) are given below.41.3 21.1 35.6 13.5 4.2 15.8 5.5 5.8 33.6 18.6 24.3 18.1 3.5 8.4 42.1 9.4 10.6 8.913.7 19.6 9.2 5.9 19.4 24.227.3 30.6 29.4 18.0 32.8 15.6 Construct a graph to display the data. The manufacturer claims that 50% of its batteries last longer than 20 h. Describe how your graph shows whether or not this is true.12. Select which type of graph would be most suitable to present the below data: 1. Comparison of fast food restaurants sales for year 20222. History of fast food restaurants' sales in the last decae3. Makret share of top 5 fast food restaurants4. Distribution and concentration of stores of all fast food restaurants in the countrya) Select an appropriate graph to present the data in the table below. Briefly explain yourgraph highlighting the keys points between 2019 and 2020 (Hint: Use MS Excel to producethe selected graph). All arrivals to Australia in April 2019 and in April2020Country of citizenship Apr-19 Apr-20New Zealand 163,130 1,180India 53,450 990UK 83,960 530Philippines 23,070 360China 132,360 320Pakistan 4,780 280Indonesia 17,870 270Germany 17,900 220Malaysia 36,670 220USA 63,270 200SourceAustralian Bureau ofStatistics Part b should be done b) Briefly explain the meaning of the following terms. Provide at least one relevant example • Central limit theorem• Confidence interval• Confidence level• Interval estimate• Point estimate
- Student Initials Resting Heart Rate (BPM) Post acitivity Heart Rate James(M) 74 123 Robert ( M) 72 156 Michael(M) 63 98 William(M) 56 130 Mary (F) 79 112 Linda(F) 61 132 Barabara(F) 58 138 Rihana(F) 84 134 Group 68.375 127.875 Standard deviation 10.32247894 17.40638224 1.Graph your results by hand. You may use the graph paper below or your own.Make sure to label all parts of the graph and select the proper type of graph for this data. Bar Graph: be sure to graph the average (or mean) for the two groups Label the X-axis with your independent Label the Y-axis with your dependent Label your figure (graph) with an appropriateUse the Massey Method with a 10 max point differential for the following system: During the Early Part of the Season: Team B beats C by 8 points. Team D beats E by 5 points. During the Middle Part of the Season: Team A beats D by 10 points. Team E beats C by 5 points. During the Later Part of the Season: Team A beats E by 4. Team E beats B by 20 points. a. Draw a directed graph of this the season. Note that this question asks you to cap the point differential. b. Write the system of equations for this season using the Massey method. c. Solve the system (using least squares) to find the ratings for each team, and use those ratings to rank them.A researcher evaluated the effectiveness of relaxation training in reducing anxiety. One sample of anxiety ridden people received relaxation training, while a second sample did not. Then anxiety scores were measured for all subjects, using a standardized test. Use the information summarized in the following table to complete this item. The Effect of Relaxation Training on Anxiety Scores Group Mean Anxiety Score SE Control group 36 7 Relaxation training 18 5 Construct a graph (by hand) that incorporates all the information in this table. Looking at your graph, do you think that the relaxation training really worked. Explain your answer.