Problem 1probability of the total time the rats use through the labyrinth is between 6 and 8minutes?Below you see an example of a control chart for an analytical method used in alaboratory. Explain briefly what the lines in the plot are. Make a sketch of whatthe chart would look like if the method suddenly began to report results thatwere systematically too high. Make a sketch of what the chart would look like ifthe precision of the method suddenly became much worse.Problem 3The fat content of 10 sausages is measured. The results are shown below as per-centages.25.2 21.3 22.8 17.0 29.8 21.0 25.5 16.0 20.9 19.510.0You may assume that the distribution of the fat content in sausages is normallydistributed. Find a 95 % confidence interval for the average fat content of sau-9.08.0sages.7.0Problem 4A veterinarian tries out a new type of lethal injection to put cats to sleep. Belowyou find a table showing how long several cats survived after injection. The unitof time is seconds.6.05.04.03.05.392.996.713.890.295.88.274.185.388.091.592.493.694.394.894.995.595.996.62.098.199.0|101.4|103.7|106|113.54581011121314Calculate the following: Median, 25th percentile, 75th percentile and the interquartile range. Find the limits for small and large outliers.Problem 2The time spent by a particular type of rat to find its way through a labyrinth isnormally distributed with u = 1.5 min and o = 0.35 min. Five rats are selected,and the time spent by each rat through the labyrinth is measured. What is theProblem 5You may assume that the distribution of the fat content in sausages is normallydistributed. Find a 95 % confidence interval for the average fat content of sau-purpose? Show how you find the value for the y axis for the largest and thesmallest number in a sample of size 20.sages.On the next page you see two variants of a nomal plot for a data set. Only oneof these is correct. Which one? Explain your answer.Problem 4A veterinarian tries out a new type of lethal injection to put cats to sleep. Belowyou find a table showing how long several cats survived after injection. The unitof time is seconds.|13.994.3|74.194.8101.490.295.8113.55.38.285.388.091.592.492.993.694.995.595.996.696.798.199.0103.7106Calculate the following: Median, 25th percentile, 75th percentile and the interquartile range. Find the limits for small and large outliers.Problem 5A confidence interval for u for normally distributed data is given asx-1.28-. i+1.28-Which confidence level is this?The equation above assumes that the standard deviation o is known. How wouldit influence the size of the confidence interval if you had to estimate o as s,taken from a sample of size 5 instead? What is the effect of the sample size?Problem 6You want to check if a set of 20 measurements are normally distributed. For thisyou may use a normal plot. What are the axes of a normal plot used for thisEnglish (United Kingdom)United Kingdom keyboardAlternative IProblem 7We distinguish between gross, systematic and random errors or deviations. Ex-plain what is meant by these terms and give an example of each type of error.x1Problem 8The following equations can be used to calculate the variance of the estimatedparameters for the regression equation y = bo + bjx.文4-x2x3x421316.710.01V(4) =E(x; - x)-x1x3.V(bo) =NE(x; -x)?200Alternative IIFor a good model, o? can be estimated by s? =N-2Using the table on the next page, calculate the variance of bo and bi.Experiment4.0-2.3224.51.93х1x435.00.18x4stx2x4x345.51.4356.0-1.326.57.061.93|-1.8221316.7x2x3x410.0х1x3What is the effect on the variances to increase the number of experiments? Willthe quality of the estimate of the slope improve or worsen if you let x vary overa larger range? State reasons for your answers.13-L00200300

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As we are entitled to solve one question at a time I will answer 2nd one as some information is…

The time spent by a particular type of rat to find its way through a labyrinth is normally distributed with u = 1.5 min and o = 0.35 min. Five rats are selected, and the time spent by each rat through the labyrinth is measured. What is the