In a sample of 123 major limb amputations (arm above the elb…

In a sample of 123 major limb amputations (arm above the elbow or leg above the knee), the average hospital admittance was 11.3 days with a standard deviation of 4.2 days. a. Construct a 95% confidence interval for the mean hospital admittance.   b. If a 99% confidence interval were constructed with these data, would it be wider or narrower than the interval constructed in part (a)? Explain.

Cheating on tests for virtual students comes with a risk fac…

Cheating on tests for virtual students comes with a risk factor that is assessed by professors and educators. Several colleges and high schools conducted a study in cooperation with one another and found the proportion of virtual students caught cheating in their study to be 0.3. A sample of 38 virtual students were taken. a. Is it appropriate to use the normal approximation to find the probability that more than 40% of virtual students cheat on their exams? If so, find the probability. If not, explain why not.   b. A new sample of 80 virtual students is drawn. Find the probability that more than 40% of the students in this sample would cheat on their exams.   c. Find the probability that the proportion of students in the sample of 80 who cheated on there exams is between 0.20 and 0.35.   d. Find the probability that less than 25% of the people in the sample of 80 cheated on their exams.   e. Would it be unusual if more than 45% of the individuals in the sample of 80 had cheated on their exams?