5 Medical researchers are testing a new survey technique for

5. Medical researchers are testing a new survey technique for knee replacement surgeries that they hope will reduce the recovery time of patients. Using the current surgery methods, which have been used and taught for years, the average recovery time is 48 days. Using the new type of surgery, which requires some expensive new tools and difficult incisions, a sample of 15 patients had an average recovery time of only 42 days. The researchers have to decide whether the new procedure is better than the old one, and should be recommended to surgeons. Their null hypothesis is that the new surgery technizues have the same recovery time as the old procedure while their alternate hypothesis is that the recovery time for the new procedure is less than with the old procedures.

a. Decribe a type I error and its potential consequences in this situation.

b. Decribe a type II error and its potential consequences in this situation.

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What happens to the margin of error in a confidence interval if a larger sample size is used?

Please solve and show your work please, thank you for all your help.

Solution

a) the type I error will be when you reject that  the new surgery technizues have the same recovery time as the old procedure while that is true and you accept the alternate hypothesis is that the recovery time for the new procedure is less than with the old procedures.

potential consequences will be that you will expense for buy he new tools and dificult incisions when is the same if you use the old procedures

b) the type II error will be that you accept that t the new surgery technizues have the same recovery time as the old procedure but that is false

the potencial consequences will be you will think that is the same for both procedures but you will see that is not but in years

What happens to the margin of error in a confidence interval if a larger sample size is used?

the margin of error in a confidence interval will be more small because you are using a larger sample size