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Show all work No work no credit The only exceptions to this are values obtained using 1 Var stats or LinReg ax b or critical values from the t table If using normalcdf or tcdf show all inputs Show formulas where appropriate outlier boundaries margins of error bounds of confidence intervals test statistic Round test statistics to 2 decimal places and p values to 4 decimal places 1 A manufacturer of bottled juice has an assembly line on which bottles are filled A random sample of 32 bottles has volumes of the following amounts in ounces 63 97 63 99 64 00 64 00 64 01 64 01 64 01 64 01 64 03 64 03 64 03 64 04 64 04 64 05 64 05 64 06 64 07 64 07 64 07 64 07 64 08 64 08 64 09 64 10 64 11 64 11 64 11 64 12 64 13 64 14 64 16 64 17 a Compute the 5 number summary for the data 5 pts b Compute the IQR and the upper and lower outlier boundaries Does the data have any outliers If so list them 8 pts c Construct a boxplot to represent the data Be sure to show a labeled scale with even markings Use a ruler or graph paper Describe the shape of the boxplot 10 pts d Compute the sample mean and sample standard deviation of the volumes in the sampled bottles Round to 4 decimal places 4 pts e Construct a 95 confidence interval for the mean volume of juice in bottles on this assembly line Show all steps in the computation of the error and the interval endpoints Round to 4 decimal places 8 pts f The goal is to have a population mean volume of at least 64 05 ounces so that there is little chance of the bottles containing less than the labeled volume of 64 ounces Based on the interval you constructed in part b is it likely that the true population mean is 64 05 ounces or more Explain 5 pts g Carry out a hypothesis test to determine whether the population mean is greater than 64 05 Show all 5 steps as outlined in class 20 pts

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