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The average annual cost of the first year of owning and caring for a large dog is $1,843 ( US News and World Report ,

The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9, 2013). The Irish Red and White Setter Association of America has requested a study to estimate the annual first-year cost for owners of this breed. A sample of 50 will be used. Based on past studies, the population standard deviation is assumed known with = $255.

a. What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for this breed (to 2 decimals)?

b. The DATAfile Setters contains data collected from fifty owners of Irish Setters on the cost of the first year of owning and caring for their dogs. Use these data sets to compute the sample mean (to 2 decimals).

Using this sample, what is the 95% confidence interval for the mean cost of the first year of owning and caring for an Irish Red and White Setter (to 2 decimals)? ( , )

Cost ($)
1902
2042
1936
1817
1504
1572
1532
1907
1882
2153
1945
1335
2006
1516
1839
1739
1456
1958
1934
2094
1739
1434
1667
1679
1736
1670
1770
2052
1379
1939
1854
1913
2163
1737
1888
1737
2230
2131
1813
2118
1978
2166
1482
1700
1679
2060
1683
1850
2232
2294

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