Reference no: EM131056126

1. If you randomly sampled a population and obtained an observation equal to zero, would you believe that the population was normal with μ = 2.0 and σ²= 2.0? Why, or why not?

2. If you randomly sampled a population and obtained ten observations with a mean of zero, would you accept that the population was normal with μ = 2.0 and σ²= 2.0? Why, or why not?

3. Ten male and ten female cockroaches (Blattella vaga) were kept without food or water. Males survived an average of 4.8 days, with a variance of 0.9 days². Females survived an average of 8.5 days, with a variance of 3.6 days².

Females tend to be larger than males and have larger fat stores, so we might expect females to be able to survive longer, on average, than males. Test whether this is true.