A researcher is interested in determining if younger individ…

A researcher is interested in determining if younger individuals are better at maintaining their balance than older individuals.  To test this, individuals were asked to stand on one foot and press a button when they heard the buzzer go off.  The amount of sway in the individual’s position (in mm) was recorded. The summary of the findings is provided in the table below: Sample n s Elderly 9 22.2 10.3 Young 8 15.13 3.91 Use a 95% level of confidence to estimate the difference in mean sway between the groups and you may assume that the amount of sway in each group is approximately normal.  Would it be reasonable to support the claims of the researcher? Explain fully.  

In a random sample of 184 individuals from the Monroe County…

In a random sample of 184 individuals from the Monroe County area 103 said they approved decreasing the amount of funding county schools would receive in the next academic year.  Using this information construct the relating 97% interval estimate for the true proportion of Monroe County that supports decreasing funding for county schools.  Based on your estimate would it be reasonable to argue that a majority of individuals supports cutting funding?  Explain fully. Show all work for this problem!  

Given the summary information below about automatic bottling…

Given the summary information below about automatic bottling machines, is there evidence to say that the new machine is more consistent when filling bottles if we are able to assume that the amount dispensed follows a normal distribution?  Construct an interval estimate using 95% confidence. Descriptive Statistics: Old Machine, New Machine                Total Variable     Count    Mean   StDev Old Machine     15  16.005  0.0759 New Machine     15  16.002  0.0459

A local researcher would like to know if there is a signific…

A local researcher would like to know if there is a significant difference in the rates of individuals who smoke cigarettes based on their gender.  The output below is from a test run using sample information collected.  Construct an interval estimate for the difference between rates of smoking between men and women. Test and CI for Two Proportions: Female, Male Variable   X    N  Sample p Female    18  129  0.139535 Male      29  167  0.173653

A 35-year-old male presents to a primary care office for his…

A 35-year-old male presents to a primary care office for his annual wellness visit. He states that he has been feeling well. His body mass index (BMI) is 32 and he has a history of hypertension and hyperlipidemia. Based on the ADA Standards of Medical Care in Diabetes, he should be tested for diabetes. Which of the following meets the criteria for the diagnosis of T2DM?