eBay's Buy-It-Now Function: Who, When, and How," published online in Topics in Economic Analysis & Policy in 2004, descr

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eBay's Buy-It-Now Function: Who, When, and How," publishedonline in Topics in Economic Analysis &Policy in 2004, describes an experiment involving thesale of 2001 American Eagle silver dollars on eBay. In a controlledauction, 82 of the dollars sold for a mean of $9.04, with standarddeviation $1.28.
(a) What is our best guess for the overall mean selling price of2001 American Eagle silver dollars?$ (b) Explain why we can assume the unknown population standarddeviation to be fairly close to the sample standard deviation,$1.28.
The sample size is fairly small.The sample size is fairlylarge. The sample standard deviation isalways close to the population standard deviation.
(c) Find a 95% confidence interval for the overall mean sellingprice. (Round your answers to two decimal places.)($ , $ )(d) Would you be willing to believe a claim that overall onlineauction sale prices of these dollars average $9.00?
YesNo
(e) If the same results had been obtained with a larger samplesize, the interval would be which of the following?
narrowerthe same wider
(f) If the interval had been constructed at the 90% level insteadof 95%, the interval would be which of the following?
widernarrower the same
(g) To test the claim in part (d), how would the alternativehypothesis be written?
Ha: x ≠ 9.00Ha: 𝜇 ≠ 9.04 Ha: 𝜇 ≠ 9.00Ha: x ≠ 9.04