Hypothesis Testing - Two Independent Population Standard Deviation

Posted on: Friday, April 23, 2021 9:11:27 AM PDT

Discussion Board 17 - Hypothesis Testing - Two Independent Population Standard Deviation

1.You would like to see if the standard deviation (variability) for the number of days a property is on the market before it sells in New York City (NYC) is greater than the standard deviation of the number of days a property is on the market before it sells in San Francisco (SF) for this current year.Use the information below and do the hypothesis test to see if the standard deviation of the number of days a property is on the market before it sells in New York City (NYC) is greater than the standard deviation of the number of days a property is on the market before it sells in San Francisco (SF) for this current year.Use a level of significance of .05.

NYCSF

25.7Sample Standard Deviation18.2

35Sample Size50

A.What will be the alternative hypothesis?(just need to state - 1-tail -Lower, 1-tail-Upper or 2-tail -just put one of those 3 answers in the body of the discussion board, but you will have a more detailed solution on your worksheet that you will attach as a PDF)

B.What is the test statistics value (correct number of decimal places depending on which test statistic)?

C.What is the probability of the test statistic for this specific problem? (take into consideration if this is 1-tail or 2-tail test)

D.What conclusion will you come to? (just need to state Accept Ho or Reject Ho and Accept Ha - just put one of those 2 answers in the body of the discussion board, but you will have a more detailed solution (besides writing one of these statements you will write out in words what the conclusion means) on your worksheet that you will attach as a PDF).Use a level of significance of .05.

E.Using the critical value approach at what critical value will you start rejecting the null hypothesis?