answer Question 1 & 2

Suppose a random sample of size 36 is selected from a population with mean p, the value of which is unknown. The sample had a mean of 10.5 and a standard deviation of 12. You are given the following hypotheses: Ho: J = 8 H: U>8 If testing at a of 5%, which of the following is the correct decision and conclusion? As t calculated of 1.25 is less than t critical of 1.69, we retain Ho and conclude there is no significant evidence the population mean is greater than 8. As Z calculated of 1.25 is less than Z critical of 1.645, we retain Ho and conclude there is no significant evidence the population mean is greater than 8. As Z calculated of 1.25 is less than Z critical of 1.645, we reject Ho and conclude there is significant evidence the population mean is greater than 8. None of these choices is correct O As t calculated of 1.25 is less than t critical of 1.69, we reject Ho and conclude there is significant evidence the population mean is greater than 8.Popular belief is that adults should sleep a recommended 8 hours per night, on average. A recent newspaper article voiced concerns that social media is contributing to sleep deprived adults. To test this opinion, researchers took a random sample of 36 adults and found values for the sample mean and the sample standard deviation. The corresponding calculated test statistic was -3.04. Which of the following is correct, if testing at the 10% level of significance? The hypotheses are: Ho: U = 8 Ha: J