# The answer to Hypothesis testing : Five step method T test

In two independent samples, from populations that are normally distributed , x1 = 35.0, s1 = 5.8, n1 = 12 and x2 = 42.5, s2 = 9.3, n2 = 14. Using the 0.05 level of significance, test Ho:u1 versus H1:u1 = u2.

2. The product development team for a notebook computer company has shown picture A to a large sample of potential buyers and picture B to another, asking each perosn to indicate what they "would expect to pay" for such a product. The data resulting from the tow pictures are provided. Using the 0.05 level of significance, determine whether the prototypes migh not really differ in terms of the price that potential buyers would expect to pay. Identify and interpret the p-value for the test. Construct and interpret the 95% confidence interval for th difference between the population means. Is the hypothesized difference (0.00) within the interval? Given the presence or absence of the 0.00 value within the interval, is this consistent with the findings of the hypothesis test?

Computer A Computer B

3317 2965

2680 3083

3286 3137

2859 2950

2693 3161

2945 2918

2908 3158

3193 3082

3240 2903

3040 3103

2906 3042

3285 3041

3126 3234

3114 2985

3079 3070

3054 3061

3089 2947

3006 3035

3323 3042

2944 3261

3099 3410

3387 3396

3073 3229

3517 3191

2668 3091

3025 3322

3096 3291

3349 2883

2851 2902

2943 3286

3430 3209

3274 2997

3212 3335

2663 3033

2968 3286

2738 3376

2701 3322

3296 3074

2887 3049

2849 3042

3001

3209

2693

2888

3303

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#### Solution Summary

The solution provides step by step method for the calculation of Hypothesis testing. Formula for the calculation and Interpretations of the results are also included.