The answer set is {5,7,9,11}
Answer: -3.0593
Step-by-step explanation:
The test statistic for the difference between two population mean (when population standard deviations
are known ) is given by :-
![z=\dfrac{\overline{x}_1-\overline{x}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Coverline%7Bx%7D_1-%5Coverline%7Bx%7D_2%7D%7B%5Csqrt%7B%5Cdfrac%7B%5Csigma_1%5E2%7D%7Bn_1%7D%2B%5Cdfrac%7B%5Csigma_2%5E2%7D%7Bn_2%7D%7D%7D)
where ,
= Sample sizes taken from two populations 1 and 2.
= Difference between two Sample mean.
= Standard deviations of populations 1 and 2.
As per given , we have
We assume that the data follows a normal distribution.
Then, the test statistic will be :-
Hence, the test statistic= -3.0593
33,104.6667 since you have to do step by step
If the probability of her having the winning ticket is 1., which equals 100%, then that means she bought all the tickets, so 1000 tickets