Q4. A taxi company is trying to decide: whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 12 of each brand. The tires are run until they wear out. The results are Brand A: žA = 36300 km ; sa = 5000 km Brand B: īg = 38100 km ; Sg = 6100 km a) Compute a 95% confidence interval for µa – HB assuming the populations to be approximately normally distributed and variances are inequal. b) Find a 99% confidence interval for µa – HB if a tire from each company is assigned at random to the rear wheels of 8 taxis and the following distance, in kilometers, recorded: Таxi Brand A Brand B 1 34400 36700 2 45500 46800 3 36700 37700 4 32000 31100 48400 47800 6 32800 36400 7 38100 38900 8 30100 31500 Assume that the differences of the distances are approximately normally distributed.

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Q4. A taxi company is trying to decide: whether to purchase brand A or brand B tires for its fleet of taxis. To estimate
the difference in the two brands, an experiment is conducted using 12 of each brand. The tires are run until they wear
out. The results are
Brand A: 74 = 36300 km ; SĄ = 5000 km
Brand B: īg = 38100 km ; Sg = 6100 km
a) Compute a 95% confidence interval for µa – H assuming the populations to be approximately normally
distributed and variances are inequal.
b) Find a 99% confidence interval for Ha – Hg if a tire from each company is assigned at random to the rear
wheels of 8 taxis and the following distance, in kilometers, recorded:
Тахi
Brand A
Brand B
1
34400
36700
2
45500
46800
3
36700
37700
4
32000
31100
48400
47800
6
32800
36400
7
38100
38900
30100
31500
Assume that the differences of the distances are approximately normally distributed.
Transcribed Image Text:Q4. A taxi company is trying to decide: whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 12 of each brand. The tires are run until they wear out. The results are Brand A: 74 = 36300 km ; SĄ = 5000 km Brand B: īg = 38100 km ; Sg = 6100 km a) Compute a 95% confidence interval for µa – H assuming the populations to be approximately normally distributed and variances are inequal. b) Find a 99% confidence interval for Ha – Hg if a tire from each company is assigned at random to the rear wheels of 8 taxis and the following distance, in kilometers, recorded: Тахi Brand A Brand B 1 34400 36700 2 45500 46800 3 36700 37700 4 32000 31100 48400 47800 6 32800 36400 7 38100 38900 30100 31500 Assume that the differences of the distances are approximately normally distributed.
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