As part of an educational experiment a sample of sixteen Year 3 children was randomly divided into two groups, each of size eight. The first group of eight children was taught arithmetic by the use of traditional procedures, whilst the second group of eight was taught arithmetic by newer modern methods. At the end of the year all 16 children sat for an arithmetic achievement test, and also an arithmetic understanding test. The marksiout of 100 ) obtained by the children are shown in the following tables In answering the following quettions you may assume that both achievement marks and understanding marks are normally distributed. 1. To test whether there is a significant difference between the mean Achievement mark and the mean Understanding mark of chuldren taught by the Modem method we would carry out 2. To test whether there is a signsicant difference between the mean Achievement marks of children taught by the Traditional method and of children taught by the Modern method. 3. To test whether there is a significant difference between the mean Achievement mark and the mean Understanding mark of children taught by the Traditionat method we would carry out 4. To test whether there is a significant difference between the mean Understanding marks of chitdren taught by the Traditional method and of childiden taught by the Modern method. As part of an educational experiment a sample of sixteen Year 3 children was randomly divided into two groups, each of size elght. The first group of eight children was taught arithmetic by the use of traditional procedures, whilst the second group of eight was taught arithmetic by newer modern methods. At the end of the year all 16 children sat for an arithmetic achievement test, and also an arithmetic understanding test. The marks(out of 100 ) obtained by the children are shown in the following tables. In answering the following questions you may assume that both achievement marks and understanding marks are normally distributed the Modern method we would carry o 2. To test whether there is a significant vievement marks of children taught by pe Traditional method and of children taught by the Modern metho 3. To test whether there is a significant difference between the mean Achievement mark and the mean Understanding mark of children taught by the Traditional method we would carry out 4. To test whether there is a significant difference between the mean Understanding marks of children taught by the Trasitional method and of children taught by the Modern method. As part of an educational experiment a sample of sixteen Year 3 children was randomly divided into two groups, each of size eight. The first group of eight children was taught arithmetic by the use of traditional procedures, whilst the second group of eight was taught arithmetic by newer modern methods. At the end of the year all 16 children sat for an arithmetic achievement test, and also an arithmetic understanding test. The marksiout of 100 ) obtained by the children are shown in the following tables In answering the following quettions you may assume that both achievement marks and understanding marks are normally distributed. 1. To test whether there is a significant difference between the mean Achievement mark and the mean Understanding mark of chuldren taught by the Modem method we would carry out 2. To test whether there is a signsicant difference between the mean Achievement marks of children taught by the Traditional method and of children taught by the Modern method. 3. To test whether there is a significant difference between the mean Achievement mark and the mean Understanding mark of children taught by the Traditionat method we would carry out 4. To test whether there is a significant difference between the mean Understanding marks of chitdren taught by the Traditional method and of childiden taught by the Modern method. As part of an educational experiment a sample of sixteen Year 3 children was randomly divided into two groups, each of size elght. The first group of eight children was taught arithmetic by the use of traditional procedures, whilst the second group of eight was taught arithmetic by newer modern methods. At the end of the year all 16 children sat for an arithmetic achievement test, and also an arithmetic understanding test. The marks(out of 100 ) obtained by the children are shown in the following tables. In answering the following questions you may assume that both achievement marks and understanding marks are normally distributed the Modern method we would carry o 2. To test whether there is a significant vievement marks of children taught by pe Traditional method and of children taught by the Modern metho 3. To test whether there is a significant difference between the mean Achievement mark and the mean Understanding mark of children taught by the Traditional method we would carry out 4. To test whether there is a significant difference between the mean Understanding marks of children taught by the Trasitional method and of children taught by the Modern method