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Q1) To test null hypothesis that average lifetime for the particular brand of bulb is 725 hours versus alternative that average lifetime is dissimilar from 725 hours, sample of 100 bulbs is used. If standard deviation is 50 hours and α is equal to 0.01, what values for mean x will result in rejection of null hypothesis.

Q2) A study was performed to evaluate mean amount spent on birthday gifts for typical family having two children. Sample of 145 was taken, and mean amount spent was $240. Suppose a standard deviation equal to $50, determine 99% confidence interval for μ, mean for all such families.

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