A production manager periodically computes a 99% confidence interval for the population mean diameter of bolts that are being produced at his plant.She has assumed that the population standard deviation of the diameters is known.She uses the formula:to compute the intervals.One such interval is given by : 2.8centimeters.Which of the following statements is an appropriate interpretation of estimation using confidence intervals and these results? Mark each statement as "A" if appropriate and "NA" if not appropriate.

1.______ 99% of all bolt diameters are between 2.76 and 2.84 centimeters.

2.______ 99% of all confidence intervals computed using the formula above are expected to contain the population mean

diameter.

3.______ The population mean diameter will be in the interval [2.76, 2.84] with a probability of .99.

4.______ The interval that was computed provides evidence to suggest that the population mean diameter is greater than 2.75.

5.______ The true value of the population mean diameter is in the interval that was computed but we are not sure of its' exact

value.