A sample of 50 copper wires had a mean resistance of 1.03 mΩ. (Assume that the standard deviation for resistance is known to be 0.1 mΩ.) Let μ represent the mean resistance of copper wires of this type. Find the P-value for testing H0 : μ ≤ 1 versus H1 : μ > 1.

P-value =

If the dimensions of a rectangular prism are 5 ft x 3.5 ft x 2 ſt, what is the surface area?

Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Which best describes the construction of a triangle if given the segment lengths of 2 cm, 3 cm, and 5 cm? a) unique triangle b) cannot be determined c) triangle not possible d) more than one triangle