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The amount of time that a certain cell phone will keep a charge is known to be normally distributed with a standard deviation of σ = 16 hours. A sample of 40 cell phones had a mean time of 141 hours. Construct a 99.5% confidence interval. Round interim values to 3 decimal places, and your final answer to the nearest whole amount.
a. What is the point estimate? x-bar = hours
b. What is the confidence-level? %
c. What is the critical value? z =
d. What is the standard error? σx¯ = hours
e. What is the margin of error? E = hours
f. State the confidence interval: hours ≤ μ ≤ hours
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