MATH533

•the average (mean) annual income was greater than $45,000,
•the true population proportion of customers who live in an urban area is less than 45%,
•the average (mean) number of years lived in the current home is greater than 8 years,
•the average (mean) credit balance for suburban customers is less than $3,200.
1.Using the sample data, perform the hypothesis test for each of the above situations in order to see if there is evidence to support your manager’s belief in each case a.-d. In each case use the Seven Elements of a Test of Hypothesis, in Section 6.2 of your text book with α = .05, and explain your conclusion in simple terms. Also be sure to compute the p-value and interpret.
2.Follow this up with computing 95% confidence intervals for each of the variables described in a.-d., and again interpreting these intervals.
3.Write a report to your manager about the results, distilling down the results in a way that would be understandable to someone who does not know statistics.

Location Income ($1000) Size Years Credit Balance($)
Urban 27 1 2 2631
Rural 25 4 2 2047
Suburban 25 1 1 3155
Suburban 26 1 2 3913
Rural 30 5 5 2660
Urban 29 1 3 3531
Rural 33 6 10 2766
Urban 30 1 4 3769
Suburban 32 2 4 4082
Urban 34 1 6 3806
Urban 35 1 8 4049
Urban 40 1 9 4073
Rural 30 6 9 2697
Rural 33 6 11 2914
Urban 42 2 10 4073
Suburban 32 2 4 4310
Urban 43 2 10 4199
Urban 43 2 10 4253
Rural 33 7 13 3104
Urban 47 2 10 4293
Suburban 35 3 5 4456
Urban 54 2 11 4340
Suburban 42 3 5 4925
Rural 36 7 13 3178
Urban 57 3 11 4391
Suburban 44 3 6 4947
Rural 38 7 15 3203
Urban 54 3 8 4354
Urban 54 3 10 4366
Suburban 46 4 6 5003
Rural 40 7 15 3250
Urban 60 4 11 4402
Urban 58 4 10 4397
Urban 61 5 13 4595
Urban 61 5 13 4786
Urban 62 6 14 4888
Suburban 49 5 8 5148
Urban 68 6 14 5011
Suburban 57 6 8 5220
Rural 45 8 16 3257
Urban 71 7 15 5528
Suburban 57 7 9 5283
Suburban 64 8 9 5332
Rural 45 8 17 3304
Urban 74 7 19 5553
Suburban 65 8 10 5484
Rural 47 8 18 3342
Rural 53 8 18 3788
Suburban 66 8 10 5756
Suburban 69 8 10 5861

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