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Hypothesis Testing And Confidence Intervals

Hypothesis Testing And Confidence Intervals

Project Part B: Hypothesis Testing and Confidence Intervals

Location Income ($1,000) Size Years Credit Balance ($)
Rural 25 4 2 2047
Rural 30 5 5 2660
Rural 33 6 10 2766
Rural 30 6 9 2697
Rural 33 6 11 2914
Rural 33 7 13 3104
Rural 36 7 13 3178
Rural 38 7 15 3203
Rural 40 7 15 3250
Rural 45 8 16 3257
Rural 45 8 17 3304
Rural 47 8 18 3342
Rural 53 8 18 3788
Suburban 25 1 1 3155
Suburban 26 1 2 3913
Suburban 32 2 4 4082
Suburban 32 2 4 4310
Suburban 35 3 5 4456
Suburban 42 3 5 4925
Suburban 44 3 6 4947
Suburban 46 4 6 5003
Suburban 49 5 8 5148
Suburban 57 6 8 5220
Suburban 57 7 9 5283
Suburban 64 8 9 5332
Suburban 65 8 10 5484
Suburban 66 8 10 5756
Suburban 69 8 10 5861
Urban 27 1 2 2631
Urban 29 1 3 3531
Urban 30 1 4 3769
Urban 34 1 6 3806
Urban 35 1 8 4049
Urban 40 1 9 4073
Urban 42 2 10 4073
Urban 43 2 10 4199
Urban 43 2 10 4253
Urban 47 2 10 4293
Urban 54 2 11 4340
Urban 57 3 11 4391
Urban 54 3 8 4354
Urban 54 3 10 4366
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
Urban 68 6 14 5011
Urban 71 7 15 5528
Urban 74 7 19 5553

 

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 ? = .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.

• 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

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