Question: Two competing companies make TV picture tubes. A random sample of 100 Nippon tubes showed that the mean lifetime was 6.3 years with standard deviation 0.8 years. Another random sample of 100 Sunnyvale tubes showed that the mean lifetime was 6.2 years with standard deviation 0.5 years. Do the data indicate that the Nippon tubes last longer? (Use a 1% level of significance.) (Assume population variances known \(\sigma \) ₁=0.8 \(\sigma \) ₂=0.5)