(a)[3]
Calculate an unbiased estimate of the population mean for the number of green sweets in a packet of Frutos, and demonstrate that an unbiased estimate of the population variance is $0.783$ correct to $3$ significant figures.
(b)[1]
State suitable null and alternative hypotheses for this test.
(c)[4]
Show that Anji’s test result is significant at the $5\%$ level but not at the $1\%$ level.
(d)[1]
Given that Anji made a Type I error, explain how this proves that the significance level she used in her test was not $1\%$.