A quality control inspector at the Cocoa Fitzz softdrink company has taken twenty-five samples withfour observations of the volume of bottles filled. Thedata are shown in the following table
Problem: A quality control inspector at the Cocoa Fitzz soft drink company has taken twenty-five samples with four observations of the volume of bottles filled. The data are shown in the following table: Observations (bottle volume in ounces) Sample No. Z 3 4 15.85 16.02 15.83 15.93 2 16.12 16 15.85 16.01 16 15.91 15.94 15.83 16.2 15.85 15.74 15.93 LO 15.74 15.86 16.21 16.1 CO 15.94 16.01 16.14 16.03 15.75 16.21 16.01 15.86 15.82 15.94 16.02 15.94 9 16.04 15.98 15.83 15.98 10 15.64 15.86 15.94 15.89 11 16.11 16 16.01 15.82 12 15.72 15.85 16.12 16.15 13 15.85 15.76 15.74 15.98 14 15.73 15.84 15.96 16.1 16.2 16.01 16.1 15.89 16 16.12 16.08 15.83 15.94 17 16.01 15.93 15.81 15.6815.78 16.04 1871 16.12 16. 12 5.92 16.12 15.93 16.11 16.02 15 82 15.89 15 89 16:05 15 . 93 16.01 15.89 Assume the volumes of bottles filled are normally distributed . Please answer the following questions ( Excel can be used for calculation ) 1 . Assume the standard deviation of the bottling operation is 0 . 14 ounce ( i . e . , the observations have equal known population variances ) . Is there any difference between observation 1 and observation 3 at a significance level of ? How about at a significance level of ? 2 . Assume the observations have equal but unknown population variances . Is there any difference between observation 1 and observation 3 at a significance level of ? How about at a significance level of ? 3 . Assume the standard deviation of the bottling operation is 0.14 ounce ( 1 . e . ) . Use Excel to construct the " three sigma " control chart of X - ba 4 . Assume the standard deviation of the bottling operation unknown , and is estimated using R - bar Use Excel to construct the X - bar chart and R - chart Assume or15.78 16.04 1871 16.12 16. 12 5.92 16.12 15.93 16.11 16.02 15 82 15.89 15 89 16:05 15 . 93 16.01 15.89 Assume the volumes of bottles filled are normally distributed . Please answer the following questions ( Excel can be used for calculation ) 1 . Assume the standard deviation of the bottling operation is 0 . 14 ounce ( i . e . , the observations have equal known population variances ) . Is there any difference between observation 1 and observation 3 at a significance level of ? How about at a significance level of ? 2 . Assume the observations have equal but unknown population variances . Is there any difference between observation 1 and observation 3 at a significance level of ? How about at a significance level of ? 3 . Assume the standard deviation of the bottling operation is 0.14 ounce ( 1 . e . ) . Use Excel to construct the " three sigma " control chart of X - ba 4 . Assume the standard deviation of the bottling operation unknown , and is estimated using R - bar Use Excel to construct the X - bar chart and R - chart Assume or
