5. An econometrician hypothesises that the average percentage grade achieved by A-level Mathematics students across the UK in 2020 was at most 65%. He tests that Ho: H = 65% against H1: µ < 65%. Using a random sample of 2000 student grades, he calculates the sample mean to be X = 64.29 and the sample variance to be S? = 4.61. At the 5% level of significance, he decides that students achieved a lower average than 65%. Is this statement %3D true or false? O True O False

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5. An econometrician hypothesises that the average percentage grade achieved by A-level
Mathematics students across the UK in 2020 was at most 65%. He tests that Ho:u =
65% against H1: u < 65%. Using a random sample of 2000 student grades, he calculates the
sample mean to be X = 64.29 and the sample variance to be s? = 4.61. At the 5% level of
significance, he decides that students achieved a lower average than 65%. Is this statement
true or false?
O True
O False
Transcribed Image Text:5. An econometrician hypothesises that the average percentage grade achieved by A-level Mathematics students across the UK in 2020 was at most 65%. He tests that Ho:u = 65% against H1: u < 65%. Using a random sample of 2000 student grades, he calculates the sample mean to be X = 64.29 and the sample variance to be s? = 4.61. At the 5% level of significance, he decides that students achieved a lower average than 65%. Is this statement true or false? O True O False
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