(a)[3]
Calculate unbiased estimates for $\mu$ and $\sigma^2$.
(b)[5]
Carry out the test at the $1\%$ significance level.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
In country $A$, the newborn-baby masses in kilograms are modelled by random variable $X$, whose mean is $\mu$ and variance is $\sigma^2$. A random sample of 500 newborn babies was taken, and the summary of the observed masses is: $n = 500$, $\sum x = 1625$, $\sum x^2 = 5663.5$.