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In the random sample of 46 bolts, the mean length was 1.28 inches and standard deviation was 0.07 inch. Employ a normal distribution or a t- distribution to develop a 99% confidence interval for the mean.

Which distribution must be employed to construct the 99% confidence interval ?

a. Employ a normal distribution because the lengths are normally distributed and σ is known.

b. Employ a t-distribution because n≥ 30.

c. Employ a t- distribution because the lengths are normally distributed and σ is known

d. Use a normal distribution because n≥ 30.

The 99% confidence interval is ......

(Type your answer in interval notation. Round to two decimal places as needed)

Statistics and Probability, Statistics

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