In: Statistics and Probability
The melting point (in degrees Fahrenheit) for a randomly selected tub of margarine of a certain brand is known to have a normal distribution with a SD, σ = 1.21. A sample of n = 5 tubs of margarine is drawn. The sample mean of melting temperature is computed to be ¯x = 95.3. (a) Construct a 95% confidence interval for the mean melting temperature. (b) Construct a 99% confidence interval for the mean melting temperature. Compare the width of the two intervals in (a) and (b)? (c) Did you use the central limit theorem to construct the intervals in (a) and (b)? Explain.