Question

7. Calculate the margin of error for a 90% confidence interval for the population mean of the variable Cancer (All Sites).

8. Determine the 90% Confidence Interval for the population mean of the variable Cancer (All Sites).

9. Interpret the 90% Confidence Interval for the population mean of the variable Cancer (All Sites)

10. A researcher claims that the mean rate of Infant mortality in the City of Chicago is below 9.3 %. Based on the data represented for the years 2005 – 2011, perform a hypothesis test to test his claim using a significance level of α= 0.10.

11. Would your conclusion change for question 10 if you used a significance level of α= 0.05? Explain.

Data:

community Area Name	Cancer (All sites)
Rogers Park	176.9
West Ridge	155.9
Uptown	183.3
Lincoln Square	153.2
North Center	152.1
Lake View	126.9
Lincoln park	152.9
Near North Side	142.7
Edison Park	189.7
Norwood Park	180.8
Jefferson Park	208.2
Forest Glen	138.7
North Park	143.7
Albany Park	158.1
Portage Park	168.7
Irving Park	169.4
Dunning	191.5
Montclaire	151
Belmont Cragin	152.6
Hermosa	135.2
Avondale	133.9
Logan Square	148.7
Humboldt Park	211.1
West town	139.6
Austin	261.9
West Garfield Park	291.5
East Garfield Park	236.8
Near West side	202
North Lawndale	261.5
South Lawndale	127.4
Lower West Side	141.3
Loop	120.1
Near South Side	169
Armour Square	162.9
Douglas	269.9
Oakland	159.7
Fuller Park	258.9
Grand Boulevard	218.3
Kenwood	196.4
Washington Park	258
Hyde Park	144
Woodlawn	241.3
South Shore	246
Chatham	213.5
Avalon Park	239.6
South Chicago	227.3
Burnside	191.2
Calumet Heights	216.6
Roseland	258.5
Pullman	262.5
South Deering	224
East Side	182.9
West Pullman	263.6
Riverdale	258.3
Hegewisch	210
Garfield Ridge	231.9
Archer Heights	166.3
Brighton Park	139.1
McKinley Park	148.4
Bridgeport	168.9
New City	235.2
West Elsdon	180.6
Gage Park	171
Clearing	189.4
West Lawn	145.1
Chicago Lawn	179.3
West Englewood	247.6
Englewood	252.2
Greater Grand Crossing	274.4
Ashburn	229.3
Auburn Gresham	243
Beverly	197.6
Washington Heights	260.6
Mount Greenwood	201.1
Morgan Park	218.2
O'Hare	138.5
Edgewater	162

Answer 1

using excel>addin>phstat>confidence interval

Confidence Interval Estimate for the Mean
Data
Sample Standard Deviation	45.6520583
Sample Mean	194.2779221
Sample Size	77
Confidence Level	90%
Intermediate Calculations
Standard Error of the Mean	5.202534881
Degrees of Freedom	76
t Value	1.665151353
margin of error	8.663007998
Confidence Interval
Interval Lower Limit	185.61
Interval Upper Limit	202.94

we have

7. the margin of error for a 90% confidence interval for the population mean of the variable Cancer is 8.663

8. the 90% Confidence Interval for the population mean of the variable Cancer is (185.61,202.94)

9. we are 90% confident that the population mean of the variable Cancer lies in between (185.61,202.94)

we have not coplete data for 10and 11