The amount of sleep, in hours, that Max gets in a night can be modelled using a normal distribution with standard deviation 0.94 hours. Max claims that the mean amount of sleep he gets each night, , is 7.24 hours. Max’s three children, Wanda, Pietro, and Lorna, disagree with his claim. They each conduct a hypothesis test, with a 5% level of significance, using the same null hypothesis .
Wanda uses the alternative hypothesis
Pietro uses the alternative hypothesis
Lorna uses the alternative hypothesis
To perform their tests, the three children take a random sample of 12 nights and calculate the mean amount of sleep, hours, that Max gets per night.
In the case where the test provides sufficient evidence for Pietro to reject the null hypothesis, explain why there is sufficient evidence for exactly one of his sisters to also reject the null hypothesis.